GCD of 796, 122, 971, 862 Calculator

Given Input numbers are 796, 122, 971, 862

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

Divisors of 796

List of positive integer divisors of 796 that divides 796 without a remainder.

1, 2, 4, 199, 398, 796

Divisors of 122

List of positive integer divisors of 122 that divides 122 without a remainder.

1, 2, 61, 122

Divisors of 971

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

1, 971

Divisors of 862

List of positive integer divisors of 862 that divides 862 without a remainder.

1, 2, 431, 862

Greatest Common Divisior

We found the divisors of 796, 122, 971, 862 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 796, 122, 971, 862 is 1.

Therefore, GCD of numbers 796, 122, 971, 862 is 1

Given Input Data is 796, 122, 971, 862

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

Prime Factorization of 796 is 2 x 2 x 199

Prime Factorization of 122 is 2 x 61

Prime Factorization of 971 is 971

Prime Factorization of 862 is 2 x 431

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(796, 122) = 48556

GCD(796, 122) = ( 796 x 122 ) / 48556

GCD(796, 122) = 97112 / 48556

GCD(796, 122) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 971

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

LCM(2, 971) = 1942

GCD(2, 971) = ( 2 x 971 ) / 1942

GCD(2, 971) = 1942 / 1942

GCD(2, 971) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 862

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

LCM(1, 862) = 862

GCD(1, 862) = ( 1 x 862 ) / 862

GCD(1, 862) = 862 / 862

GCD(1, 862) = 1

GCD of 796, 122, 971, 862 is 1

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1. What is the GCD of 796, 122, 971, 862?

GCD of 796, 122, 971, 862 is 1

2. Where do I get the detailed procedure to find GCD of 796, 122, 971, 862?

You can find a detailed procedure to find GCD of 796, 122, 971, 862 on our page.

3. How to find GCD of 796, 122, 971, 862 on a calculator?

You can find the GCD of 796, 122, 971, 862 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.