GCD of 149, 676, 56, 639 Calculator

Given Input numbers are 149, 676, 56, 639

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

Divisors of 149

List of positive integer divisors of 149 that divides 149 without a remainder.

1, 149

Divisors of 676

List of positive integer divisors of 676 that divides 676 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

Divisors of 639

List of positive integer divisors of 639 that divides 639 without a remainder.

1, 3, 9, 71, 213, 639

Greatest Common Divisior

We found the divisors of 149, 676, 56, 639 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 149, 676, 56, 639 is 1.

Therefore, GCD of numbers 149, 676, 56, 639 is 1

Given Input Data is 149, 676, 56, 639

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

Prime Factorization of 149 is 149

Prime Factorization of 676 is 2 x 2 x 13 x 13

Prime Factorization of 56 is 2 x 2 x 2 x 7

Prime Factorization of 639 is 3 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(149, 676) = 100724

GCD(149, 676) = ( 149 x 676 ) / 100724

GCD(149, 676) = 100724 / 100724

GCD(149, 676) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 56

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

LCM(1, 56) = 56

GCD(1, 56) = ( 1 x 56 ) / 56

GCD(1, 56) = 56 / 56

GCD(1, 56) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 639

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

LCM(1, 639) = 639

GCD(1, 639) = ( 1 x 639 ) / 639

GCD(1, 639) = 639 / 639

GCD(1, 639) = 1

GCD of 149, 676, 56, 639 is 1

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1. What is the GCD of 149, 676, 56, 639?

GCD of 149, 676, 56, 639 is 1

2. Where do I get the detailed procedure to find GCD of 149, 676, 56, 639?

You can find a detailed procedure to find GCD of 149, 676, 56, 639 on our page.

3. How to find GCD of 149, 676, 56, 639 on a calculator?

You can find the GCD of 149, 676, 56, 639 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.