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GCD of 976, 381, 500, 697 Calculator

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


Online GCD Calculator is useful to find the GCD of 976, 381, 500, 697 quickly. Get the easiest ways to solve the greatest common divisor of 976, 381, 500, 697 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 976, 381, 500, 697 with Factoring?

Given Input numbers are 976, 381, 500, 697

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

Divisors of 976 :

The positive integer divisors of 976 that completely divides 976 are.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

Divisors of 381 :

The positive integer divisors of 381 that completely divides 381 are.

1, 3, 127, 381

Divisors of 500 :

The positive integer divisors of 500 that completely divides 500 are.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 697 :

The positive integer divisors of 697 that completely divides 697 are.

1, 17, 41, 697


GCD of numbers is the greatest common divisor

So, the GCD (976, 381, 500, 697) = 1.

Find GCD of 976, 381, 500, 697 using Prime Factorization

Given numbers are 976, 381, 500, 697

The list of prime factors of all numbers are

Prime factors of 976 are 2 x 2 x 2 x 2 x 61

Prime factors of 381 are 3 x 127

Prime factors of 500 are 2 x 2 x 5 x 5 x 5

Prime factors of 697 are 17 x 41

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

Steps to Calculate GCD of 976, 381, 500, 697 using LCM Formula

Given numbers are 976, 381, 500, 697

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

Apply this formula for all numbers.

Step1:

LCM(976, 381) = 371856

GCD(976, 381) = ( 976 x 381 ) / 371856

= 976 / 381

= 976


Step2:

LCM(1, 500) = 500

GCD(1, 500) = ( 1 x 500 ) / 500

= 1 / 500

= 1


Step3:

LCM(1, 697) = 697

GCD(1, 697) = ( 1 x 697 ) / 697

= 1 / 697

= 1


So, Greatest Common Divisor of 976, 381, 500, 697 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 976, 381, 500, 697

Given numbers are 976, 381, 500, 697
The greatest common divisor of numbers 976, 381, 500, 697 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 976, 381, 500, 697 is 1.

FAQs on GCD of 976, 381, 500, 697 Calculator

1. What is the GCD of 976, 381, 500, 697?

GCD of given numbers 976, 381, 500, 697 is 1


2. How to calculate the greatest common divisor of 976, 381, 500, 697?

We can find the highest common divisor of 976, 381, 500, 697 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 976, 381, 500, 697 i.e 1.


3. How can I use the GCD of 976, 381, 500, 697Calculator?

Out the numbers 976, 381, 500, 697 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.