What is GCF of 77 and 121?

Go back to 'All gcf of pages' >

GCF of 77 and 121 is 11

How to find GCF of two numbers

Steps to find GCF of 77 and 121

Find all the numbers that would divide 77 and 121 without leaving any remainder as explained in factors below.
Find the greatest common factor from the list of factors for 77 and 121, and read off the answer!

Example: Find gcf of 77 and 121

Factors for 77: 1, 7, 11, 77
Factors for 121: 1, 11, 121

Hence, GCf of 77 and 121 is 11

How do we define GCF?

In mathematics we use GCF or greatest common method to find out the greatest possible positive integer which can completely divide the given numbers. It is written as GCF (77, 121).

Properties of GCF

The GCF of two or more given numbers is always less than the given numbers. Eg- GCF of 77 and 121 is 11, where 11 is less than both the numbers.
If the given numbers are consecutive than GCF is always 1.
Product of two numbers is always equal to the product of their GCF and LCM.
The GCF of two given numbers where one of them is a prime number is either 1 or the number itself.

How do you explain factors?

In mathematics, a factor is a number or also it can be an algebraic expression that divides another number or any expression completely and that too without leaving any remainder. A factor of a number can be positive or negative.

Properties of Factors

Every factor of a number is an exact divisor of that number, example 1, 7, 11, 77 are exact divisors of 77 and 1, 11, 121 are exact divisors of 121.
Every number other than 1 has at least two factors, namely the number itself and 1.
Each number is a factor of itself. Eg. 77 and 121 are factors of themselves respectively.
1 is a factor of every number. Eg. 1 is a factor of 77 and also of 121.

Steps to find Factors of 77 and 121

Step 1. Find all the numbers that would divide 77 and 121 without leaving any remainder. Starting with the number 1 upto 38 (half of 77) and 1 upto 60 (half of 121). The number 1 and the number itself are always factors of the given number.

77 ÷ 1 : Remainder = 0

121 ÷ 1 : Remainder = 0

77 ÷ 7 : Remainder = 0

121 ÷ 11 : Remainder = 0

77 ÷ 11 : Remainder = 0

121 ÷ 121 : Remainder = 0

77 ÷ 77 : Remainder = 0

Hence, Factors of 77 are 1, 7, 11, and 77

And, Factors of 121 are 1, 11, and 121

Examples of GCF

Sammy baked 77 chocolate cookies and 121 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 77 and 121.
GCF of 77 and 121 is 11.

A class has 77 boys and 121 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 77 and 121. Hence, GCF of 77 and 121 is 11.

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

GCF and LCM of two numbers can be related as GCF(77, 121) = ( 77 * 121 ) / LCM(77, 121) = 11.

What is the GCF of 77 and 121?

GCF of 77 and 121 is 11.

Ram has 77 cans of Pepsi and 121 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 77 and 121. Hence GCF of 77 and 121 is 11. So the number of tables that can be arranged is 11.

Rubel is creating individual servings of starters for her birthday party. He has 77 pizzas and 121 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 77 and 121. Thus GCF of 77 and 121 is 11.

Ariel is making ready to eat meals to share with friends. She has 77 bottles of water and 121 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 77 and 121. So the GCF of 77 and 121 is 11.

Kamal is making identical balloon arrangements for a party. He has 77 maroon balloons, and 121 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 77 and 121. So the GCF of 77 and 121 is 11.

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 77 bus tickets and 121 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 77 and 121. Hence, GCF of 77 and 121 is 11.