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GCD of 977, 509, 971 Calculator

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


Online GCD Calculator is useful to find the GCD of 977, 509, 971 quickly. Get the easiest ways to solve the greatest common divisor of 977, 509, 971 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 977, 509, 971 with Factoring?

Given Input numbers are 977, 509, 971

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

Divisors of 977 :

The positive integer divisors of 977 that completely divides 977 are.

1, 977

Divisors of 509 :

The positive integer divisors of 509 that completely divides 509 are.

1, 509

Divisors of 971 :

The positive integer divisors of 971 that completely divides 971 are.

1, 971


GCD of numbers is the greatest common divisor

So, the GCD (977, 509, 971) = 1.

Find GCD of 977, 509, 971 using Prime Factorization

Given numbers are 977, 509, 971

The list of prime factors of all numbers are

Prime factors of 977 are 977

Prime factors of 509 are 509

Prime factors of 971 are 971

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

Steps to Calculate GCD of 977, 509, 971 using LCM Formula

Given numbers are 977, 509, 971

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

Apply this formula for all numbers.

Step1:

LCM(977, 509) = 497293

GCD(977, 509) = ( 977 x 509 ) / 497293

= 977 / 509

= 977


Step2:

LCM(1, 971) = 971

GCD(1, 971) = ( 1 x 971 ) / 971

= 1 / 971

= 1


So, Greatest Common Divisor of 977, 509, 971 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 977, 509, 971

Given numbers are 977, 509, 971
The greatest common divisor of numbers 977, 509, 971 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 977, 509, 971 is 1.

FAQs on GCD of 977, 509, 971 Calculator

1. What is the GCD of 977, 509, 971?

GCD of given numbers 977, 509, 971 is 1


2. How to calculate the greatest common divisor of 977, 509, 971?

We can find the highest common divisor of 977, 509, 971 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 977, 509, 971 i.e 1.


3. How can I use the GCD of 977, 509, 971Calculator?

Out the numbers 977, 509, 971 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.