What is GCF of 184 and 207?

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GCF of 184 and 207 is 23

How to find GCF of two numbers

Steps to find GCF of 184 and 207

Find all the numbers that would divide 184 and 207 without leaving any remainder as explained in factors below.
Find the greatest common factor from the list of factors for 184 and 207, and read off the answer!

Example: Find gcf of 184 and 207

Factors for 184: 1, 2, 4, 8, 23, 46, 92, 184
Factors for 207: 1, 3, 9, 23, 69, 207

Hence, GCf of 184 and 207 is 23

How do you explain GCF in mathematics?

GCF or greatest common factor of two or more numbers is defined as largest possible number or integer which is the factor of all given number or in other words we can say that largest possible common number which completely divides the given numbers. GCF of two numbers can be represented as GCF (184, 207).

Properties of GCF

The GCF of two or more given numbers cannot be greater than any of the given number. Eg- GCF of 184 and 207 is 23, where 23 is less than both 184 and 207.
GCF of two consecutive numbers is always 1.
The product of GCF and LCM of two given numbers is equal to the product of two numbers.
The GCF of two given numbers where one of them is a prime number is either 1 or the number itself.

How can we define factors?

In mathematics, a factor is a number which divides into another number exactly, without leaving any remainder. A factor of a number can be positive of negative.

Properties of Factors

Each number is a factor of itself. Eg. 184 and 207 are factors of themselves respectively.
1 is a factor of every number. Eg. 1 is a factor of 184 and also of 207.
Every number is a factor of zero (0), since 184 x 0 = 0 and 207 x 0 = 0.
Every number other than 1 has at least two factors, namely the number itself and 1.
Every factor of a number is an exact divisor of that number, example 1, 2, 4, 8, 23, 46, 92, 184 are exact divisors of 184 and 1, 3, 9, 23, 69, 207 are exact divisors of 207.
Factors of 184 are 1, 2, 4, 8, 23, 46, 92, 184. Each factor divides 184 without leaving a remainder.
Simlarly, factors of 207 are 1, 3, 9, 23, 69, 207. Each factor divides 207 without leaving a remainder.
Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 8, 23, 46, 92, 184 are all less than or equal to 184 and 1, 3, 9, 23, 69, 207 are all less than or equal to 207.

Steps to find Factors of 184 and 207

Step 1. Find all the numbers that would divide 184 and 207 without leaving any remainder. Starting with the number 1 upto 92 (half of 184) and 1 upto 103 (half of 207). The number 1 and the number itself are always factors of the given number.

184 ÷ 1 : Remainder = 0

207 ÷ 1 : Remainder = 0

184 ÷ 2 : Remainder = 0

207 ÷ 3 : Remainder = 0

184 ÷ 4 : Remainder = 0

207 ÷ 9 : Remainder = 0

184 ÷ 8 : Remainder = 0

207 ÷ 23 : Remainder = 0

184 ÷ 23 : Remainder = 0

207 ÷ 69 : Remainder = 0

184 ÷ 46 : Remainder = 0

207 ÷ 207 : Remainder = 0

184 ÷ 92 : Remainder = 0

184 ÷ 184 : Remainder = 0

Hence, Factors of 184 are 1, 2, 4, 8, 23, 46, 92, and 184

And, Factors of 207 are 1, 3, 9, 23, 69, and 207

Examples of GCF

Sammy baked 184 chocolate cookies and 207 fruit and nut cookies to package in plastic containers for her friends at college. She wants to divide the cookies into identical boxes so that each box has the same number of each kind of cookies. She wishes that each box should have greatest number of cookies possible, how many plastic boxes does she need?

Since Sammy wants to pack greatest number of cookies possible. So for calculating total number of boxes required we need to calculate the GCF of 184 and 207.
GCF of 184 and 207 is 23.

A class has 184 boys and 207 girls. A choir teacher wants to form a choir team from this class such that the students are standing in equal rows also girls or boys will be in each row. Teacher wants to know the greatest number of students that could be in each row, can you help him?

To find the greatest number of students that could be in each row, we need to find the GCF of 184 and 207. Hence, GCF of 184 and 207 is 23.

What is the difference between GCF and LCM?

Major and simple difference betwen GCF and LCM is that GCF gives you the greatest common factor while LCM finds out the least common factor possible for the given numbers.

What is the relation between LCM and GCF (Greatest Common Factor)?

GCF and LCM of two numbers can be related as GCF(184, 207) = ( 184 * 207 ) / LCM(184, 207) = 23.

What is the GCF of 184 and 207?

GCF of 184 and 207 is 23.

Mary has 184 blue buttons and 207 white buttons. She wants to place them in identical groups without any buttons left, in the greatest way possible. Can you help Mary arranging them in groups?

Greatest possible way in which Mary can arrange them in groups would be GCF of 184 and 207. Hence, the GCF of 184 and 207 or the greatest arrangement is 23.

Kamal is making identical balloon arrangements for a party. He has 184 maroon balloons, and 207 orange balloons. He wants each arrangement tohave the same number of each color. What is the greatest number of arrangements that he can make if every balloon is used?

The greatest number of arrangements that he can make if every balloon is used would be equal to GCF of 184 and 207. So the GCF of 184 and 207 is 23.

Kunal is making baskets full of nuts and dried fruits. He has 184 bags of nuts and 207 bags of dried fruits. He wants each basket to be identical, containing the same combination of bags of nuts and bags of driesn fruits, with no left overs. What is the greatest number of baskets that Kunal can make?

the greatest number of baskets that Kunal can make would be equal to GCF of 184 and 207. So the GCF of 184 and 207 is 23.

To energize public transportation, Abir needs to give a few companions envelopes with transport tickets, and metro tickets in them. On the off chance that he has 184 bus tickets and 207 metro tickets to be parted similarly among the envelopes, and he need no tickets left. What is the greatest number of envelopes Abir can make?

To make the greatest number of envelopes Abir needs to find out the GCF of 184 and 207. Hence, GCF of 184 and 207 is 23.