GCD of 791, 976, 21, 938 Calculator

Given Input numbers are 791, 976, 21, 938

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

Divisors of 791

List of positive integer divisors of 791 that divides 791 without a remainder.

1, 7, 113, 791

Divisors of 976

List of positive integer divisors of 976 that divides 976 without a remainder.

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

Divisors of 21

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

1, 3, 7, 21

Divisors of 938

List of positive integer divisors of 938 that divides 938 without a remainder.

1, 2, 7, 14, 67, 134, 469, 938

Greatest Common Divisior

We found the divisors of 791, 976, 21, 938 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 791, 976, 21, 938 is 1.

Therefore, GCD of numbers 791, 976, 21, 938 is 1

Given Input Data is 791, 976, 21, 938

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

Prime Factorization of 791 is 7 x 113

Prime Factorization of 976 is 2 x 2 x 2 x 2 x 61

Prime Factorization of 21 is 3 x 7

Prime Factorization of 938 is 2 x 7 x 67

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(791, 976) = 772016

GCD(791, 976) = ( 791 x 976 ) / 772016

GCD(791, 976) = 772016 / 772016

GCD(791, 976) = 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 938

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

LCM(1, 938) = 938

GCD(1, 938) = ( 1 x 938 ) / 938

GCD(1, 938) = 938 / 938

GCD(1, 938) = 1

GCD of 791, 976, 21, 938 is 1

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• GCD of 466, 981, 11, 537
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• GCD of 497, 180, 66, 190

1. What is the GCD of 791, 976, 21, 938?

GCD of 791, 976, 21, 938 is 1

2. Where do I get the detailed procedure to find GCD of 791, 976, 21, 938?

You can find a detailed procedure to find GCD of 791, 976, 21, 938 on our page.

3. How to find GCD of 791, 976, 21, 938 on a calculator?

You can find the GCD of 791, 976, 21, 938 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.