What is GCF of 155 and 141?

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GCF of 155 and 141 is 1

How to find GCF of two numbers

Steps to find GCF of 155 and 141

Find all the numbers that would divide 155 and 141 without leaving any remainder as explained in factors below.
Find the greatest common factor from the list of factors for 155 and 141, and read off the answer!

Example: Find gcf of 155 and 141

Factors for 155: 1, 5, 31, 155
Factors for 141: 1, 3, 47, 141

Hence, GCf of 155 and 141 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 (155, 141).

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 141, such that GCF is 1 where 1 will always be less than 155 and 141.
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 141 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, 3, 47, 141 are exact divisors of 141.
Factors of 155 are 1, 5, 31, 155. Each factor divides 155 without leaving a remainder.
Simlarly, factors of 141 are 1, 3, 47, 141. Each factor divides 141 without leaving a remainder.

Steps to find Factors of 155 and 141

Step 1. Find all the numbers that would divide 155 and 141 without leaving any remainder. Starting with the number 1 upto 77 (half of 155) and 1 upto 70 (half of 141). The number 1 and the number itself are always factors of the given number.

155 ÷ 1 : Remainder = 0

141 ÷ 1 : Remainder = 0

155 ÷ 5 : Remainder = 0

141 ÷ 3 : Remainder = 0

155 ÷ 31 : Remainder = 0

141 ÷ 47 : Remainder = 0

155 ÷ 155 : Remainder = 0

141 ÷ 141 : Remainder = 0

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

And, Factors of 141 are 1, 3, 47, and 141

Examples of GCF

A class has 155 boys and 141 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 141. Hence, GCF of 155 and 141 is 1.

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, 141) = ( 155 * 141 ) / LCM(155, 141) = 1.

What is the GCF of 155 and 141?

GCF of 155 and 141 is 1.

Ram has 155 cans of Pepsi and 141 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 141. Hence GCF of 155 and 141 is 1. So the number of tables that can be arranged is 1.

Rubel is creating individual servings of starters for her birthday party. He has 155 pizzas and 141 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 141. Thus GCF of 155 and 141 is 1.

Ariel is making ready to eat meals to share with friends. She has 155 bottles of water and 141 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 141. So the GCF of 155 and 141 is 1.

Mary has 155 blue buttons and 141 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 141. Hence, the GCF of 155 and 141 or the greatest arrangement is 1.

Kunal is making baskets full of nuts and dried fruits. He has 155 bags of nuts and 141 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 141. So the GCF of 155 and 141 is 1.