What is GCF of 145 and 307?

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GCF of 145 and 307 is 1

How to find GCF of two numbers

Steps to find GCF of 145 and 307

Find all the numbers that would divide 145 and 307 without leaving any remainder as explained in factors below.
Find the greatest common factor from the list of factors for 145 and 307, and read off the answer!

Example: Find gcf of 145 and 307

Factors for 145: 1, 5, 29, 145
Factors for 307: 1, 307

Hence, GCf of 145 and 307 is 1

Definition of GCF

Greatest common factor commonly known as GCF of the two numbers is the highest possible number which completely divides given numbers, i.e. without leaving any remainder. It is represented as GCF (145, 307).

Properties of GCF

The GCF of two or more given numbers is always less than the given numbers. Eg- GCF of 145 and 307 is 1, where 1 is less than both the numbers.
If the given numbers are consecutive than GCF is always 1.
Product of two numbers is always equal to the product of their GCF and LCM.
The GCF of two given numbers where one of them is a prime number is either 1 or the number itself.

What are factors?

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

Properties of Factors

Every factor of a number is an exact divisor of that number, example 1, 5, 29, 145 are exact divisors of 145 and 1, 307 are exact divisors of 307.
Every number other than 1 has at least two factors, namely the number itself and 1.
Each number is a factor of itself. Eg. 145 and 307 are factors of themselves respectively.
1 is a factor of every number. Eg. 1 is a factor of 145 and also of 307.

Steps to find Factors of 145 and 307

Step 1. Find all the numbers that would divide 145 and 307 without leaving any remainder. Starting with the number 1 upto 72 (half of 145) and 1 upto 153 (half of 307). The number 1 and the number itself are always factors of the given number.

145 ÷ 1 : Remainder = 0

307 ÷ 1 : Remainder = 0

145 ÷ 5 : Remainder = 0

307 ÷ 307 : Remainder = 0

145 ÷ 29 : Remainder = 0

145 ÷ 145 : Remainder = 0

Hence, Factors of 145 are 1, 5, 29, and 145

And, Factors of 307 are 1 and 307

Examples of GCF

Sammy baked 145 chocolate cookies and 307 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 145 and 307.
GCF of 145 and 307 is 1.

A class has 145 boys and 307 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 145 and 307. Hence, GCF of 145 and 307 is 1.

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

GCF and LCM of two numbers can be related as GCF(145, 307) = ( 145 * 307 ) / LCM(145, 307) = 1.

What is the GCF of 145 and 307?

GCF of 145 and 307 is 1.

Ram has 145 cans of Pepsi and 307 cans of Coca Cola. He wants to create identical refreshment tables that will be organized in his house warming party. He also doesn't want to have any can left over. What is the greatest number of tables that Ram can arrange?

To find the greatest number of tables that Ram can stock we need to find the GCF of 145 and 307. Hence GCF of 145 and 307 is 1. So the number of tables that can be arranged is 1.

Mary has 145 blue buttons and 307 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 145 and 307. Hence, the GCF of 145 and 307 or the greatest arrangement is 1.

Kamal is making identical balloon arrangements for a party. He has 145 maroon balloons, and 307 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 145 and 307. So the GCF of 145 and 307 is 1.

Kunal is making baskets full of nuts and dried fruits. He has 145 bags of nuts and 307 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 145 and 307. So the GCF of 145 and 307 is 1.

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 145 bus tickets and 307 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 145 and 307. Hence, GCF of 145 and 307 is 1.