GCD of 506, 142, 49, 679 Calculator

Given Input numbers are 506, 142, 49, 679

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

Divisors of 506

List of positive integer divisors of 506 that divides 506 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 679

List of positive integer divisors of 679 that divides 679 without a remainder.

1, 7, 97, 679

Greatest Common Divisior

We found the divisors of 506, 142, 49, 679 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 506, 142, 49, 679 is 1.

Therefore, GCD of numbers 506, 142, 49, 679 is 1

Given Input Data is 506, 142, 49, 679

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

Prime Factorization of 506 is 2 x 11 x 23

Prime Factorization of 142 is 2 x 71

Prime Factorization of 49 is 7 x 7

Prime Factorization of 679 is 7 x 97

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(506, 142) = 35926

GCD(506, 142) = ( 506 x 142 ) / 35926

GCD(506, 142) = 71852 / 35926

GCD(506, 142) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 49

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

LCM(2, 49) = 98

GCD(2, 49) = ( 2 x 49 ) / 98

GCD(2, 49) = 98 / 98

GCD(2, 49) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 679

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

LCM(1, 679) = 679

GCD(1, 679) = ( 1 x 679 ) / 679

GCD(1, 679) = 679 / 679

GCD(1, 679) = 1

GCD of 506, 142, 49, 679 is 1

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1. What is the GCD of 506, 142, 49, 679?

GCD of 506, 142, 49, 679 is 1

2. Where do I get the detailed procedure to find GCD of 506, 142, 49, 679?

You can find a detailed procedure to find GCD of 506, 142, 49, 679 on our page.

3. How to find GCD of 506, 142, 49, 679 on a calculator?

You can find the GCD of 506, 142, 49, 679 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.