What is GCF of 155 and 124?

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GCF of 155 and 124 is 31

How to find GCF of two numbers

Steps to find GCF of 155 and 124

Find all the numbers that would divide 155 and 124 without leaving any remainder as explained in factors below.
Find the greatest common factor from the list of factors for 155 and 124, and read off the answer!

Example: Find gcf of 155 and 124

Factors for 155: 1, 5, 31, 155
Factors for 124: 1, 2, 4, 31, 62, 124

Hence, GCf of 155 and 124 is 31

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 (155, 124).

Properties of GCF

The GCF of two given numbers where one of them is a prime number is either 1 or the number itself.
GCF of two consecutive numbers is always 1.
Given two numbers 155 and 124, such that GCF is 31 where 31 will always be less than 155 and 124.
Product of two numbers is always equal to the product of their GCF and LCM.

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 number is a factor of zero (0), since 155 x 0 = 0 and 124 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, 5, 31, 155 are exact divisors of 155 and 1, 2, 4, 31, 62, 124 are exact divisors of 124.
Factors of 155 are 1, 5, 31, 155. Each factor divides 155 without leaving a remainder.
Simlarly, factors of 124 are 1, 2, 4, 31, 62, 124. Each factor divides 124 without leaving a remainder.

Steps to find Factors of 155 and 124

Step 1. Find all the numbers that would divide 155 and 124 without leaving any remainder. Starting with the number 1 upto 77 (half of 155) and 1 upto 62 (half of 124). The number 1 and the number itself are always factors of the given number.

155 ÷ 1 : Remainder = 0

124 ÷ 1 : Remainder = 0

155 ÷ 5 : Remainder = 0

124 ÷ 2 : Remainder = 0

155 ÷ 31 : Remainder = 0

124 ÷ 4 : Remainder = 0

155 ÷ 155 : Remainder = 0

124 ÷ 31 : Remainder = 0

124 ÷ 62 : Remainder = 0

124 ÷ 124 : Remainder = 0

Hence, Factors of 155 are 1, 5, 31, and 155

And, Factors of 124 are 1, 2, 4, 31, 62, and 124

Examples of GCF

A class has 155 boys and 124 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 155 and 124. Hence, GCF of 155 and 124 is 31.

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(155, 124) = ( 155 * 124 ) / LCM(155, 124) = 31.

What is the GCF of 155 and 124?

GCF of 155 and 124 is 31.

Ram has 155 cans of Pepsi and 124 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 155 and 124. Hence GCF of 155 and 124 is 31. So the number of tables that can be arranged is 31.

Rubel is creating individual servings of starters for her birthday party. He has 155 pizzas and 124 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 155 and 124. Thus GCF of 155 and 124 is 31.

Ariel is making ready to eat meals to share with friends. She has 155 bottles of water and 124 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 155 and 124. So the GCF of 155 and 124 is 31.

Mary has 155 blue buttons and 124 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 155 and 124. Hence, the GCF of 155 and 124 or the greatest arrangement is 31.

Kunal is making baskets full of nuts and dried fruits. He has 155 bags of nuts and 124 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 155 and 124. So the GCF of 155 and 124 is 31.