GCD of 696, 971, 988, 791 Calculator

Given Input numbers are 696, 971, 988, 791

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

Divisors of 696

List of positive integer divisors of 696 that divides 696 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 971

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

1, 971

Divisors of 988

List of positive integer divisors of 988 that divides 988 without a remainder.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Divisors of 791

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

1, 7, 113, 791

Greatest Common Divisior

We found the divisors of 696, 971, 988, 791 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 696, 971, 988, 791 is 1.

Therefore, GCD of numbers 696, 971, 988, 791 is 1

Given Input Data is 696, 971, 988, 791

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

Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29

Prime Factorization of 971 is 971

Prime Factorization of 988 is 2 x 2 x 13 x 19

Prime Factorization of 791 is 7 x 113

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(696, 971) = 675816

GCD(696, 971) = ( 696 x 971 ) / 675816

GCD(696, 971) = 675816 / 675816

GCD(696, 971) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 988

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

LCM(1, 988) = 988

GCD(1, 988) = ( 1 x 988 ) / 988

GCD(1, 988) = 988 / 988

GCD(1, 988) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 791

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

LCM(1, 791) = 791

GCD(1, 791) = ( 1 x 791 ) / 791

GCD(1, 791) = 791 / 791

GCD(1, 791) = 1

GCD of 696, 971, 988, 791 is 1

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1. What is the GCD of 696, 971, 988, 791?

GCD of 696, 971, 988, 791 is 1

2. Where do I get the detailed procedure to find GCD of 696, 971, 988, 791?

You can find a detailed procedure to find GCD of 696, 971, 988, 791 on our page.

3. How to find GCD of 696, 971, 988, 791 on a calculator?

You can find the GCD of 696, 971, 988, 791 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.