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GCD of 991, 789, 979, 524 Calculator

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


Online GCD Calculator is useful to find the GCD of 991, 789, 979, 524 quickly. Get the easiest ways to solve the greatest common divisor of 991, 789, 979, 524 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 991, 789, 979, 524 with Factoring?

Given Input numbers are 991, 789, 979, 524

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

Divisors of 991 :

The positive integer divisors of 991 that completely divides 991 are.

1, 991

Divisors of 789 :

The positive integer divisors of 789 that completely divides 789 are.

1, 3, 263, 789

Divisors of 979 :

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

1, 11, 89, 979

Divisors of 524 :

The positive integer divisors of 524 that completely divides 524 are.

1, 2, 4, 131, 262, 524


GCD of numbers is the greatest common divisor

So, the GCD (991, 789, 979, 524) = 1.

Find GCD of 991, 789, 979, 524 using Prime Factorization

Given numbers are 991, 789, 979, 524

The list of prime factors of all numbers are

Prime factors of 991 are 991

Prime factors of 789 are 3 x 263

Prime factors of 979 are 11 x 89

Prime factors of 524 are 2 x 2 x 131

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

Steps to Calculate GCD of 991, 789, 979, 524 using LCM Formula

Given numbers are 991, 789, 979, 524

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

Apply this formula for all numbers.

Step1:

LCM(991, 789) = 781899

GCD(991, 789) = ( 991 x 789 ) / 781899

= 991 / 789

= 991


Step2:

LCM(1, 979) = 979

GCD(1, 979) = ( 1 x 979 ) / 979

= 1 / 979

= 1


Step3:

LCM(1, 524) = 524

GCD(1, 524) = ( 1 x 524 ) / 524

= 1 / 524

= 1


So, Greatest Common Divisor of 991, 789, 979, 524 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 991, 789, 979, 524

Given numbers are 991, 789, 979, 524
The greatest common divisor of numbers 991, 789, 979, 524 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 991, 789, 979, 524 is 1.

FAQs on GCD of 991, 789, 979, 524 Calculator

1. What is the GCD of 991, 789, 979, 524?

GCD of given numbers 991, 789, 979, 524 is 1


2. How to calculate the greatest common divisor of 991, 789, 979, 524?

We can find the highest common divisor of 991, 789, 979, 524 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 991, 789, 979, 524 i.e 1.


3. How can I use the GCD of 991, 789, 979, 524Calculator?

Out the numbers 991, 789, 979, 524 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.