What is GCF of 37 and 74?

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GCF of 37 and 74 is 37

How to find GCF of two numbers

Steps to find GCF of 37 and 74

Find all the numbers that would divide 37 and 74 without leaving any remainder as explained in factors below.
Find the greatest common factor from the list of factors for 37 and 74, and read off the answer!

Example: Find gcf of 37 and 74

Factors for 37: 1, 37
Factors for 74: 1, 2, 37, 74

Hence, GCf of 37 and 74 is 37

How do we define GCF?

In mathematics we use GCF or greatest common method to find out the greatest possible positive integer which can completely divide the given numbers. It is written as GCF (37, 74).

Properties of GCF

The GCF of two or more given numbers is always less than the given numbers. Eg- GCF of 37 and 74 is 37, where 37 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.

How do you explain factors?

In mathematics, a factor is a number or also it can be an algebraic expression that divides another number or any expression completely and that too without leaving any 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, 37 are exact divisors of 37 and 1, 2, 37, 74 are exact divisors of 74.
Every number other than 1 has at least two factors, namely the number itself and 1.
Each number is a factor of itself. Eg. 37 and 74 are factors of themselves respectively.
1 is a factor of every number. Eg. 1 is a factor of 37 and also of 74.

Steps to find Factors of 37 and 74

Step 1. Find all the numbers that would divide 37 and 74 without leaving any remainder. Starting with the number 1 upto 18 (half of 37) and 1 upto 37 (half of 74). The number 1 and the number itself are always factors of the given number.

37 ÷ 1 : Remainder = 0

74 ÷ 1 : Remainder = 0

37 ÷ 37 : Remainder = 0

74 ÷ 2 : Remainder = 0

74 ÷ 37 : Remainder = 0

74 ÷ 74 : Remainder = 0

Hence, Factors of 37 are 1 and 37

And, Factors of 74 are 1, 2, 37, and 74

Examples of GCF

Sammy baked 37 chocolate cookies and 74 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 37 and 74.
GCF of 37 and 74 is 37.

A class has 37 boys and 74 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 37 and 74. Hence, GCF of 37 and 74 is 37.

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

GCF and LCM of two numbers can be related as GCF(37, 74) = ( 37 * 74 ) / LCM(37, 74) = 37.

What is the GCF of 37 and 74?

GCF of 37 and 74 is 37.

Ram has 37 cans of Pepsi and 74 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 37 and 74. Hence GCF of 37 and 74 is 37. So the number of tables that can be arranged is 37.

Mary has 37 blue buttons and 74 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 37 and 74. Hence, the GCF of 37 and 74 or the greatest arrangement is 37.

Kamal is making identical balloon arrangements for a party. He has 37 maroon balloons, and 74 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 37 and 74. So the GCF of 37 and 74 is 37.

Kunal is making baskets full of nuts and dried fruits. He has 37 bags of nuts and 74 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 37 and 74. So the GCF of 37 and 74 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 37 bus tickets and 74 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 37 and 74. Hence, GCF of 37 and 74 is 37.