What is GCF of 51 and 68?

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GCF of 51 and 68 is 17

How to find GCF of two numbers

Steps to find GCF of 51 and 68

Find all the numbers that would divide 51 and 68 without leaving any remainder as explained in factors below.
Find the greatest common factor from the list of factors for 51 and 68, and read off the answer!

Example: Find gcf of 51 and 68

Factors for 51: 1, 3, 17, 51
Factors for 68: 1, 2, 4, 17, 34, 68

Hence, GCf of 51 and 68 is 17

What is GCF of two numbers?

In mathematics GCF or also known as greatest common factor of two or more number is that one largest number which is a factor of those given numbers. It is represented as GCF (51, 68).

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 51 and 68, such that GCF is 17 where 17 will always be less than 51 and 68.
Product of two numbers is always equal to the product of their GCF and LCM.

How can we define factors?

In mathematics a factor is a number which divides into another without leaving any remainder. Or we can say, any two numbers that multiply to give a product are both factors of that product. It can be both positive or negative.

Properties of Factors

Every number is a factor of zero (0), since 51 x 0 = 0 and 68 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, 3, 17, 51 are exact divisors of 51 and 1, 2, 4, 17, 34, 68 are exact divisors of 68.
Factors of 51 are 1, 3, 17, 51. Each factor divides 51 without leaving a remainder.
Simlarly, factors of 68 are 1, 2, 4, 17, 34, 68. Each factor divides 68 without leaving a remainder.

Steps to find Factors of 51 and 68

Step 1. Find all the numbers that would divide 51 and 68 without leaving any remainder. Starting with the number 1 upto 25 (half of 51) and 1 upto 34 (half of 68). The number 1 and the number itself are always factors of the given number.

51 ÷ 1 : Remainder = 0

68 ÷ 1 : Remainder = 0

51 ÷ 3 : Remainder = 0

68 ÷ 2 : Remainder = 0

51 ÷ 17 : Remainder = 0

68 ÷ 4 : Remainder = 0

51 ÷ 51 : Remainder = 0

68 ÷ 17 : Remainder = 0

68 ÷ 34 : Remainder = 0

68 ÷ 68 : Remainder = 0

Hence, Factors of 51 are 1, 3, 17, and 51

And, Factors of 68 are 1, 2, 4, 17, 34, and 68

Examples of GCF

What is the relation between LCM and GCF (Greatest Common Factor)?

GCF and LCM of two numbers can be related as GCF(51, 68) = ( 51 * 68 ) / LCM(51, 68) = 17.

What is the GCF of 51 and 68?

GCF of 51 and 68 is 17.

Ram has 51 cans of Pepsi and 68 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 51 and 68. Hence GCF of 51 and 68 is 17. So the number of tables that can be arranged is 17.

Rubel is creating individual servings of starters for her birthday party. He has 51 pizzas and 68 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 51 and 68. Thus GCF of 51 and 68 is 17.

Ariel is making ready to eat meals to share with friends. She has 51 bottles of water and 68 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 51 and 68. So the GCF of 51 and 68 is 17.

Mary has 51 blue buttons and 68 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 51 and 68. Hence, the GCF of 51 and 68 or the greatest arrangement is 17.

Kamal is making identical balloon arrangements for a party. He has 51 maroon balloons, and 68 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 51 and 68. So the GCF of 51 and 68 is 17.

Kunal is making baskets full of nuts and dried fruits. He has 51 bags of nuts and 68 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 51 and 68. So the GCF of 51 and 68 is 17.

To energize public transportation, Abir needs to give a few companions envelopes with transport tickets, and metro tickets in them. On the off chance that he has 51 bus tickets and 68 metro tickets to be parted similarly among the envelopes, and he need no tickets left. What is the greatest number of envelopes Abir can make?

To make the greatest number of envelopes Abir needs to find out the GCF of 51 and 68. Hence, GCF of 51 and 68 is 17.