What is GCF of 92 and 100?

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GCF of 92 and 100 is 4

How to find GCF of two numbers

Steps to find GCF of 92 and 100

Find all the numbers that would divide 92 and 100 without leaving any remainder as explained in factors below.
Find the greatest common factor from the list of factors for 92 and 100, and read off the answer!

Example: Find gcf of 92 and 100

Factors for 92: 1, 2, 4, 23, 46, 92
Factors for 100: 1, 2, 4, 5, 10, 20, 25, 50, 100

Hence, GCf of 92 and 100 is 4

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 (92, 100).

Properties of GCF

The GCF of two or more given numbers cannot be greater than any of the given number. Eg- GCF of 92 and 100 is 4, where 4 is less than both 92 and 100.
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 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

Each number is a factor of itself. Eg. 92 and 100 are factors of themselves respectively.
1 is a factor of every number. Eg. 1 is a factor of 92 and also of 100.
Every number is a factor of zero (0), since 92 x 0 = 0 and 100 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, 23, 46, 92 are exact divisors of 92 and 1, 2, 4, 5, 10, 20, 25, 50, 100 are exact divisors of 100.
Factors of 92 are 1, 2, 4, 23, 46, 92. Each factor divides 92 without leaving a remainder.
Simlarly, factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, 100. Each factor divides 100 without leaving a remainder.
Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 23, 46, 92 are all less than or equal to 92 and 1, 2, 4, 5, 10, 20, 25, 50, 100 are all less than or equal to 100.

Steps to find Factors of 92 and 100

Step 1. Find all the numbers that would divide 92 and 100 without leaving any remainder. Starting with the number 1 upto 46 (half of 92) and 1 upto 50 (half of 100). The number 1 and the number itself are always factors of the given number.

92 ÷ 1 : Remainder = 0

100 ÷ 1 : Remainder = 0

92 ÷ 2 : Remainder = 0

100 ÷ 2 : Remainder = 0

92 ÷ 4 : Remainder = 0

100 ÷ 4 : Remainder = 0

92 ÷ 23 : Remainder = 0

100 ÷ 5 : Remainder = 0

92 ÷ 46 : Remainder = 0

100 ÷ 10 : Remainder = 0

92 ÷ 92 : Remainder = 0

100 ÷ 20 : Remainder = 0

100 ÷ 25 : Remainder = 0

100 ÷ 50 : Remainder = 0

100 ÷ 100 : Remainder = 0

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

And, Factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, and 100

Examples of GCF

A class has 92 boys and 100 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 92 and 100. Hence, GCF of 92 and 100 is 4.

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(92, 100) = ( 92 * 100 ) / LCM(92, 100) = 4.

What is the GCF of 92 and 100?

GCF of 92 and 100 is 4.

Ram has 92 cans of Pepsi and 100 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 92 and 100. Hence GCF of 92 and 100 is 4. So the number of tables that can be arranged is 4.

Rubel is creating individual servings of starters for her birthday party. He has 92 pizzas and 100 hamburgers. He wants each serving to be identical, with no left overs. Can you help Rubel in arranging the same in greatest possible way?

The greatest number of servings Rubel can create would be equal to the GCF of 92 and 100. Thus GCF of 92 and 100 is 4.

Ariel is making ready to eat meals to share with friends. She has 92 bottles of water and 100 cans of food, which she would like to distribute equally, with no left overs. What is the greatest number of boxes Ariel can make?

The greatest number of boxes Ariel can make would be equal to GCF of 92 and 100. So the GCF of 92 and 100 is 4.

Mary has 92 blue buttons and 100 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 92 and 100. Hence, the GCF of 92 and 100 or the greatest arrangement is 4.

Kunal is making baskets full of nuts and dried fruits. He has 92 bags of nuts and 100 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 92 and 100. So the GCF of 92 and 100 is 4.