GCD of 658, 656, 667, 852 Calculator

Given Input numbers are 658, 656, 667, 852

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

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 656

List of positive integer divisors of 656 that divides 656 without a remainder.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Divisors of 667

List of positive integer divisors of 667 that divides 667 without a remainder.

1, 23, 29, 667

Divisors of 852

List of positive integer divisors of 852 that divides 852 without a remainder.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Greatest Common Divisior

We found the divisors of 658, 656, 667, 852 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 658, 656, 667, 852 is 1.

Therefore, GCD of numbers 658, 656, 667, 852 is 1

Given Input Data is 658, 656, 667, 852

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

Prime Factorization of 658 is 2 x 7 x 47

Prime Factorization of 656 is 2 x 2 x 2 x 2 x 41

Prime Factorization of 667 is 23 x 29

Prime Factorization of 852 is 2 x 2 x 3 x 71

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(658, 656) = 215824

GCD(658, 656) = ( 658 x 656 ) / 215824

GCD(658, 656) = 431648 / 215824

GCD(658, 656) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 667

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

LCM(2, 667) = 1334

GCD(2, 667) = ( 2 x 667 ) / 1334

GCD(2, 667) = 1334 / 1334

GCD(2, 667) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 852

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

LCM(1, 852) = 852

GCD(1, 852) = ( 1 x 852 ) / 852

GCD(1, 852) = 852 / 852

GCD(1, 852) = 1

GCD of 658, 656, 667, 852 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 556, 416, 209, 849
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• GCD of 271, 540, 557, 908

1. What is the GCD of 658, 656, 667, 852?

GCD of 658, 656, 667, 852 is 1

2. Where do I get the detailed procedure to find GCD of 658, 656, 667, 852?

You can find a detailed procedure to find GCD of 658, 656, 667, 852 on our page.

3. How to find GCD of 658, 656, 667, 852 on a calculator?

You can find the GCD of 658, 656, 667, 852 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.