What is GCF of 110 and 275?

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GCF of 110 and 275 is 55

How to find GCF of two numbers

Steps to find GCF of 110 and 275

Find all the numbers that would divide 110 and 275 without leaving any remainder as explained in factors below.
Find the greatest common factor from the list of factors for 110 and 275, and read off the answer!

Example: Find gcf of 110 and 275

Factors for 110: 1, 2, 5, 10, 11, 22, 55, 110
Factors for 275: 1, 5, 11, 25, 55, 275

Hence, GCf of 110 and 275 is 55

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 (110, 275).

Properties of GCF

Given two numbers 110 and 275, such that GCF is 55 where 55 will always be less than 110 and 275.
GCF of two numbers is always equal to 1 in case given numbers are consecutive.
The product of GCF and LCM of two given numbers is equal to the product of two numbers.
The GCF of two given numbers is either 1 or the number itself if one of them is a prime number.

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

Each number is a factor of itself. Eg. 110 and 275 are factors of themselves respectively.
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, 5, 10, 11, 22, 55, 110 are exact divisors of 110 and 1, 5, 11, 25, 55, 275 are exact divisors of 275.
1 is a factor of every number. Eg. 1 is a factor of 110 and also of 275.
Every number is a factor of zero (0), since 110 x 0 = 0 and 275 x 0 = 0.

Steps to find Factors of 110 and 275

Step 1. Find all the numbers that would divide 110 and 275 without leaving any remainder. Starting with the number 1 upto 55 (half of 110) and 1 upto 137 (half of 275). The number 1 and the number itself are always factors of the given number.

110 ÷ 1 : Remainder = 0

275 ÷ 1 : Remainder = 0

110 ÷ 2 : Remainder = 0

275 ÷ 5 : Remainder = 0

110 ÷ 5 : Remainder = 0

275 ÷ 11 : Remainder = 0

110 ÷ 10 : Remainder = 0

275 ÷ 25 : Remainder = 0

110 ÷ 11 : Remainder = 0

275 ÷ 55 : Remainder = 0

110 ÷ 22 : Remainder = 0

275 ÷ 275 : Remainder = 0

110 ÷ 55 : Remainder = 0

110 ÷ 110 : Remainder = 0

Hence, Factors of 110 are 1, 2, 5, 10, 11, 22, 55, and 110

And, Factors of 275 are 1, 5, 11, 25, 55, and 275

Examples of GCF

A class has 110 boys and 275 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 110 and 275. Hence, GCF of 110 and 275 is 55.

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(110, 275) = ( 110 * 275 ) / LCM(110, 275) = 55.

What is the GCF of 110 and 275?

GCF of 110 and 275 is 55.

Ram has 110 cans of Pepsi and 275 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 110 and 275. Hence GCF of 110 and 275 is 55. So the number of tables that can be arranged is 55.

Rubel is creating individual servings of starters for her birthday party. He has 110 pizzas and 275 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 110 and 275. Thus GCF of 110 and 275 is 55.

Ariel is making ready to eat meals to share with friends. She has 110 bottles of water and 275 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 110 and 275. So the GCF of 110 and 275 is 55.

Mary has 110 blue buttons and 275 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 110 and 275. Hence, the GCF of 110 and 275 or the greatest arrangement is 55.

Kunal is making baskets full of nuts and dried fruits. He has 110 bags of nuts and 275 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 110 and 275. So the GCF of 110 and 275 is 55.