GCD of 761, 794, 21, 971 Calculator

Given Input numbers are 761, 794, 21, 971

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

Divisors of 761

List of positive integer divisors of 761 that divides 761 without a remainder.

1, 761

Divisors of 794

List of positive integer divisors of 794 that divides 794 without a remainder.

1, 2, 397, 794

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 971

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

1, 971

Greatest Common Divisior

We found the divisors of 761, 794, 21, 971 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 761, 794, 21, 971 is 1.

Therefore, GCD of numbers 761, 794, 21, 971 is 1

Given Input Data is 761, 794, 21, 971

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

Prime Factorization of 761 is 761

Prime Factorization of 794 is 2 x 397

Prime Factorization of 21 is 3 x 7

Prime Factorization of 971 is 971

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(761, 794) = 604234

GCD(761, 794) = ( 761 x 794 ) / 604234

GCD(761, 794) = 604234 / 604234

GCD(761, 794) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 21

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

LCM(1, 21) = 21

GCD(1, 21) = ( 1 x 21 ) / 21

GCD(1, 21) = 21 / 21

GCD(1, 21) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 971

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

LCM(1, 971) = 971

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

GCD(1, 971) = 971 / 971

GCD(1, 971) = 1

GCD of 761, 794, 21, 971 is 1

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1. What is the GCD of 761, 794, 21, 971?

GCD of 761, 794, 21, 971 is 1

2. Where do I get the detailed procedure to find GCD of 761, 794, 21, 971?

You can find a detailed procedure to find GCD of 761, 794, 21, 971 on our page.

3. How to find GCD of 761, 794, 21, 971 on a calculator?

You can find the GCD of 761, 794, 21, 971 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.