GCD of 274, 658, 79, 627 Calculator

Given Input numbers are 274, 658, 79, 627

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

Divisors of 274

List of positive integer divisors of 274 that divides 274 without a remainder.

1, 2, 137, 274

Divisors of 658

List of positive integer divisors of 658 that divides 658 without a remainder.

1, 2, 7, 14, 47, 94, 329, 658

Divisors of 79

List of positive integer divisors of 79 that divides 79 without a remainder.

1, 79

Divisors of 627

List of positive integer divisors of 627 that divides 627 without a remainder.

1, 3, 11, 19, 33, 57, 209, 627

Greatest Common Divisior

We found the divisors of 274, 658, 79, 627 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 274, 658, 79, 627 is 1.

Therefore, GCD of numbers 274, 658, 79, 627 is 1

Given Input Data is 274, 658, 79, 627

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

Prime Factorization of 274 is 2 x 137

Prime Factorization of 658 is 2 x 7 x 47

Prime Factorization of 79 is 79

Prime Factorization of 627 is 3 x 11 x 19

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(274, 658) = 90146

GCD(274, 658) = ( 274 x 658 ) / 90146

GCD(274, 658) = 180292 / 90146

GCD(274, 658) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 79

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

LCM(2, 79) = 158

GCD(2, 79) = ( 2 x 79 ) / 158

GCD(2, 79) = 158 / 158

GCD(2, 79) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 627

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

LCM(1, 627) = 627

GCD(1, 627) = ( 1 x 627 ) / 627

GCD(1, 627) = 627 / 627

GCD(1, 627) = 1

GCD of 274, 658, 79, 627 is 1

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• GCD of 607, 735, 83, 807
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1. What is the GCD of 274, 658, 79, 627?

GCD of 274, 658, 79, 627 is 1

2. Where do I get the detailed procedure to find GCD of 274, 658, 79, 627?

You can find a detailed procedure to find GCD of 274, 658, 79, 627 on our page.

3. How to find GCD of 274, 658, 79, 627 on a calculator?

You can find the GCD of 274, 658, 79, 627 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.