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GCD of 957, 979, 495, 407 Calculator

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


Online GCD Calculator is useful to find the GCD of 957, 979, 495, 407 quickly. Get the easiest ways to solve the greatest common divisor of 957, 979, 495, 407 i.e 11 in different methods as follows.

GCD of

How to Find GCD of Numbers 957, 979, 495, 407 with Factoring?

Given Input numbers are 957, 979, 495, 407

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

Divisors of 957 :

The positive integer divisors of 957 that completely divides 957 are.

1, 3, 11, 29, 33, 87, 319, 957

Divisors of 979 :

The positive integer divisors of 979 that completely divides 979 are.

1, 11, 89, 979

Divisors of 495 :

The positive integer divisors of 495 that completely divides 495 are.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

Divisors of 407 :

The positive integer divisors of 407 that completely divides 407 are.

1, 11, 37, 407


GCD of numbers is the greatest common divisor

So, the GCD (957, 979, 495, 407) = 11.

Find GCD of 957, 979, 495, 407 using Prime Factorization

Given numbers are 957, 979, 495, 407

The list of prime factors of all numbers are

Prime factors of 957 are 3 x 11 x 29

Prime factors of 979 are 11 x 89

Prime factors of 495 are 3 x 3 x 5 x 11

Prime factors of 407 are 11 x 37

The highest common occurrence is 111

Therefore, GCD of 957, 979, 495, 407 is 11.

Steps to Calculate GCD of 957, 979, 495, 407 using LCM Formula

Given numbers are 957, 979, 495, 407

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

Apply this formula for all numbers.

Step1:

LCM(957, 979) = 85173

GCD(957, 979) = ( 957 x 979 ) / 85173

= 957 / 979

= 957


Step2:

LCM(11, 495) = 495

GCD(11, 495) = ( 11 x 495 ) / 495

= 11 / 495

= 11


Step3:

LCM(11, 407) = 407

GCD(11, 407) = ( 11 x 407 ) / 407

= 11 / 407

= 11


So, Greatest Common Divisor of 957, 979, 495, 407 is 11

GCD of Numbers Calculation Examples

Greatest Common Divisor of 957, 979, 495, 407

Given numbers are 957, 979, 495, 407
The greatest common divisor of numbers 957, 979, 495, 407 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 957, 979, 495, 407 is 11.

FAQs on GCD of 957, 979, 495, 407 Calculator

1. What is the GCD of 957, 979, 495, 407?

GCD of given numbers 957, 979, 495, 407 is 11


2. How to calculate the greatest common divisor of 957, 979, 495, 407?

We can find the highest common divisor of 957, 979, 495, 407 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 957, 979, 495, 407 i.e 11.


3. How can I use the GCD of 957, 979, 495, 407Calculator?

Out the numbers 957, 979, 495, 407 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.