GCD of 971, 461, 916, 759 Calculator

Given Input numbers are 971, 461, 916, 759

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 971

List of positive integer divisors of 971 that divides 971 without a remainder.

1, 971

Divisors of 461

List of positive integer divisors of 461 that divides 461 without a remainder.

1, 461

Divisors of 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

Divisors of 759

List of positive integer divisors of 759 that divides 759 without a remainder.

1, 3, 11, 23, 33, 69, 253, 759

Greatest Common Divisior

We found the divisors of 971, 461, 916, 759 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 971, 461, 916, 759 is 1.

Therefore, GCD of numbers 971, 461, 916, 759 is 1

Given Input Data is 971, 461, 916, 759

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 971 is 971

Prime Factorization of 461 is 461

Prime Factorization of 916 is 2 x 2 x 229

Prime Factorization of 759 is 3 x 11 x 23

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

Step1:

Let's calculate the GCD of first two numbers

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

LCM(971, 461) = 447631

GCD(971, 461) = ( 971 x 461 ) / 447631

GCD(971, 461) = 447631 / 447631

GCD(971, 461) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 916

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

LCM(1, 916) = 916

GCD(1, 916) = ( 1 x 916 ) / 916

GCD(1, 916) = 916 / 916

GCD(1, 916) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 759

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

LCM(1, 759) = 759

GCD(1, 759) = ( 1 x 759 ) / 759

GCD(1, 759) = 759 / 759

GCD(1, 759) = 1

GCD of 971, 461, 916, 759 is 1

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1. What is the GCD of 971, 461, 916, 759?

GCD of 971, 461, 916, 759 is 1

2. Where do I get the detailed procedure to find GCD of 971, 461, 916, 759?

You can find a detailed procedure to find GCD of 971, 461, 916, 759 on our page.

3. How to find GCD of 971, 461, 916, 759 on a calculator?

You can find the GCD of 971, 461, 916, 759 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.