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GCD of 756, 657, 318, 121 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 756, 657, 318, 121 quickly. Get the easiest ways to solve the greatest common divisor of 756, 657, 318, 121 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 756, 657, 318, 121 with Factoring?

Given Input numbers are 756, 657, 318, 121

In the factoring method, we have to find the divisors of all numbers

Divisors of 756 :

The positive integer divisors of 756 that completely divides 756 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 657 :

The positive integer divisors of 657 that completely divides 657 are.

1, 3, 9, 73, 219, 657

Divisors of 318 :

The positive integer divisors of 318 that completely divides 318 are.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 121 :

The positive integer divisors of 121 that completely divides 121 are.

1, 11, 121


GCD of numbers is the greatest common divisor

So, the GCD (756, 657, 318, 121) = 1.

Find GCD of 756, 657, 318, 121 using Prime Factorization

Given numbers are 756, 657, 318, 121

The list of prime factors of all numbers are

Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7

Prime factors of 657 are 3 x 3 x 73

Prime factors of 318 are 2 x 3 x 53

Prime factors of 121 are 11 x 11

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 756, 657, 318, 121 using LCM Formula

Given numbers are 756, 657, 318, 121

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(756, 657) = 55188

GCD(756, 657) = ( 756 x 657 ) / 55188

= 756 / 657

= 756


Step2:

LCM(9, 318) = 954

GCD(9, 318) = ( 9 x 318 ) / 954

= 9 / 318

= 9


Step3:

LCM(3, 121) = 363

GCD(3, 121) = ( 3 x 121 ) / 363

= 3 / 121

= 3


So, Greatest Common Divisor of 756, 657, 318, 121 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 756, 657, 318, 121

Given numbers are 756, 657, 318, 121
The greatest common divisor of numbers 756, 657, 318, 121 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 756, 657, 318, 121 is 1.

FAQs on GCD of 756, 657, 318, 121 Calculator

1. What is the GCD of 756, 657, 318, 121?

GCD of given numbers 756, 657, 318, 121 is 1


2. How to calculate the greatest common divisor of 756, 657, 318, 121?

We can find the highest common divisor of 756, 657, 318, 121 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 756, 657, 318, 121 i.e 1.


3. How can I use the GCD of 756, 657, 318, 121Calculator?

Out the numbers 756, 657, 318, 121 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.