GCD of 974, 118, 569, 122 Calculator

Given Input numbers are 974, 118, 569, 122

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 118

List of positive integer divisors of 118 that divides 118 without a remainder.

1, 2, 59, 118

Divisors of 569

List of positive integer divisors of 569 that divides 569 without a remainder.

1, 569

Divisors of 122

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

1, 2, 61, 122

Greatest Common Divisior

We found the divisors of 974, 118, 569, 122 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 974, 118, 569, 122 is 1.

Therefore, GCD of numbers 974, 118, 569, 122 is 1

Given Input Data is 974, 118, 569, 122

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

Prime Factorization of 974 is 2 x 487

Prime Factorization of 118 is 2 x 59

Prime Factorization of 569 is 569

Prime Factorization of 122 is 2 x 61

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, 118) = 57466

GCD(974, 118) = ( 974 x 118 ) / 57466

GCD(974, 118) = 114932 / 57466

GCD(974, 118) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 569

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

LCM(2, 569) = 1138

GCD(2, 569) = ( 2 x 569 ) / 1138

GCD(2, 569) = 1138 / 1138

GCD(2, 569) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 122

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

LCM(1, 122) = 122

GCD(1, 122) = ( 1 x 122 ) / 122

GCD(1, 122) = 122 / 122

GCD(1, 122) = 1

GCD of 974, 118, 569, 122 is 1

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1. What is the GCD of 974, 118, 569, 122?

GCD of 974, 118, 569, 122 is 1

2. Where do I get the detailed procedure to find GCD of 974, 118, 569, 122?

You can find a detailed procedure to find GCD of 974, 118, 569, 122 on our page.

3. How to find GCD of 974, 118, 569, 122 on a calculator?

You can find the GCD of 974, 118, 569, 122 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.