GCD of 974, 232, 71, 856 Calculator

Given Input numbers are 974, 232, 71, 856

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

Divisors of 974

List of positive integer divisors of 974 that divides 974 without a remainder.

1, 2, 487, 974

Divisors of 232

List of positive integer divisors of 232 that divides 232 without a remainder.

1, 2, 4, 8, 29, 58, 116, 232

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 856

List of positive integer divisors of 856 that divides 856 without a remainder.

1, 2, 4, 8, 107, 214, 428, 856

Greatest Common Divisior

We found the divisors of 974, 232, 71, 856 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 974, 232, 71, 856 is 1.

Therefore, GCD of numbers 974, 232, 71, 856 is 1

Given Input Data is 974, 232, 71, 856

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

Prime Factorization of 974 is 2 x 487

Prime Factorization of 232 is 2 x 2 x 2 x 29

Prime Factorization of 71 is 71

Prime Factorization of 856 is 2 x 2 x 2 x 107

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(974, 232) = 112984

GCD(974, 232) = ( 974 x 232 ) / 112984

GCD(974, 232) = 225968 / 112984

GCD(974, 232) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 71

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

LCM(2, 71) = 142

GCD(2, 71) = ( 2 x 71 ) / 142

GCD(2, 71) = 142 / 142

GCD(2, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 856

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

LCM(1, 856) = 856

GCD(1, 856) = ( 1 x 856 ) / 856

GCD(1, 856) = 856 / 856

GCD(1, 856) = 1

GCD of 974, 232, 71, 856 is 1

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1. What is the GCD of 974, 232, 71, 856?

GCD of 974, 232, 71, 856 is 1

2. Where do I get the detailed procedure to find GCD of 974, 232, 71, 856?

You can find a detailed procedure to find GCD of 974, 232, 71, 856 on our page.

3. How to find GCD of 974, 232, 71, 856 on a calculator?

You can find the GCD of 974, 232, 71, 856 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.