What is GCF of 148 and 185?

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GCF of 148 and 185 is 37

How to find GCF of two numbers

Steps to find GCF of 148 and 185

Find all the numbers that would divide 148 and 185 without leaving any remainder as explained in factors below.
Find the greatest common factor from the list of factors for 148 and 185, and read off the answer!

Example: Find gcf of 148 and 185

Factors for 148: 1, 2, 4, 37, 74, 148
Factors for 185: 1, 5, 37, 185

Hence, GCf of 148 and 185 is 37

What does GCF mean in mathematics?

Greatest Common Fcator (GCF) or also sometimes written as greates common divisor is the largest number that can evenly divide the given two numbers. GCF is represented as GCF (148, 185).

Properties of GCF

The GCF of two or more given numbers cannot be greater than any of the given number. Eg- GCF of 148 and 185 is 37, where 37 is less than both 148 and 185.
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.

What is the definition of factors?

In mathematics, factors are number, algebraic expressions which when multiplied together produce desired product. A factor of a number can be positive or negative.

Properties of Factors

Each number is a factor of itself. Eg. 148 and 185 are factors of themselves respectively.
1 is a factor of every number. Eg. 1 is a factor of 148 and also of 185.
Every number is a factor of zero (0), since 148 x 0 = 0 and 185 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, 37, 74, 148 are exact divisors of 148 and 1, 5, 37, 185 are exact divisors of 185.
Factors of 148 are 1, 2, 4, 37, 74, 148. Each factor divides 148 without leaving a remainder.
Simlarly, factors of 185 are 1, 5, 37, 185. Each factor divides 185 without leaving a remainder.
Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 37, 74, 148 are all less than or equal to 148 and 1, 5, 37, 185 are all less than or equal to 185.

Steps to find Factors of 148 and 185

Step 1. Find all the numbers that would divide 148 and 185 without leaving any remainder. Starting with the number 1 upto 74 (half of 148) and 1 upto 92 (half of 185). The number 1 and the number itself are always factors of the given number.

148 ÷ 1 : Remainder = 0

185 ÷ 1 : Remainder = 0

148 ÷ 2 : Remainder = 0

185 ÷ 5 : Remainder = 0

148 ÷ 4 : Remainder = 0

185 ÷ 37 : Remainder = 0

148 ÷ 37 : Remainder = 0

185 ÷ 185 : Remainder = 0

148 ÷ 74 : Remainder = 0

148 ÷ 148 : Remainder = 0

Hence, Factors of 148 are 1, 2, 4, 37, 74, and 148

And, Factors of 185 are 1, 5, 37, and 185

Examples of GCF

Sammy baked 148 chocolate cookies and 185 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 148 and 185.
GCF of 148 and 185 is 37.

A class has 148 boys and 185 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 148 and 185. Hence, GCF of 148 and 185 is 37.

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(148, 185) = ( 148 * 185 ) / LCM(148, 185) = 37.

What is the GCF of 148 and 185?

GCF of 148 and 185 is 37.

Mary has 148 blue buttons and 185 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 148 and 185. Hence, the GCF of 148 and 185 or the greatest arrangement is 37.

Kamal is making identical balloon arrangements for a party. He has 148 maroon balloons, and 185 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 148 and 185. So the GCF of 148 and 185 is 37.

Kunal is making baskets full of nuts and dried fruits. He has 148 bags of nuts and 185 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 148 and 185. So the GCF of 148 and 185 is 37.

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 148 bus tickets and 185 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 148 and 185. Hence, GCF of 148 and 185 is 37.