What is GCF of 54 and 151?

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GCF of 54 and 151 is 1

How to find GCF of two numbers

Steps to find GCF of 54 and 151

Find all the numbers that would divide 54 and 151 without leaving any remainder as explained in factors below.
Find the greatest common factor from the list of factors for 54 and 151, and read off the answer!

Example: Find gcf of 54 and 151

Factors for 54: 1, 2, 3, 6, 9, 18, 27, 54
Factors for 151: 1, 151

Hence, GCf of 54 and 151 is 1

How do you explain GCF in mathematics?

GCF or greatest common factor of two or more numbers is defined as largest possible number or integer which is the factor of all given number or in other words we can say that largest possible common number which completely divides the given numbers. GCF of two numbers can be represented as GCF (54, 151).

Properties of GCF

Given two numbers 54 and 151, such that GCF is 1 where 1 will always be less than 54 and 151.
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.

How can we define factors?

In mathematics, a factor is a number which divides into another number exactly, without leaving any remainder. A factor of a number can be positive of negative.

Properties of Factors

Each number is a factor of itself. Eg. 54 and 151 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, 3, 6, 9, 18, 27, 54 are exact divisors of 54 and 1, 151 are exact divisors of 151.
1 is a factor of every number. Eg. 1 is a factor of 54 and also of 151.
Every number is a factor of zero (0), since 54 x 0 = 0 and 151 x 0 = 0.

Steps to find Factors of 54 and 151

Step 1. Find all the numbers that would divide 54 and 151 without leaving any remainder. Starting with the number 1 upto 27 (half of 54) and 1 upto 75 (half of 151). The number 1 and the number itself are always factors of the given number.

54 ÷ 1 : Remainder = 0

151 ÷ 1 : Remainder = 0

54 ÷ 2 : Remainder = 0

151 ÷ 151 : Remainder = 0

54 ÷ 3 : Remainder = 0

54 ÷ 6 : Remainder = 0

54 ÷ 9 : Remainder = 0

54 ÷ 18 : Remainder = 0

54 ÷ 27 : Remainder = 0

54 ÷ 54 : Remainder = 0

Hence, Factors of 54 are 1, 2, 3, 6, 9, 18, 27, and 54

And, Factors of 151 are 1 and 151

Examples of GCF

Sammy baked 54 chocolate cookies and 151 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 54 and 151.
GCF of 54 and 151 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(54, 151) = ( 54 * 151 ) / LCM(54, 151) = 1.

What is the GCF of 54 and 151?

GCF of 54 and 151 is 1.

Ram has 54 cans of Pepsi and 151 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 54 and 151. Hence GCF of 54 and 151 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 54 pizzas and 151 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 54 and 151. Thus GCF of 54 and 151 is 1.

Ariel is making ready to eat meals to share with friends. She has 54 bottles of water and 151 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 54 and 151. So the GCF of 54 and 151 is 1.

Mary has 54 blue buttons and 151 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 54 and 151. Hence, the GCF of 54 and 151 or the greatest arrangement is 1.

Kamal is making identical balloon arrangements for a party. He has 54 maroon balloons, and 151 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 54 and 151. So the GCF of 54 and 151 is 1.