GCD of 636, 138, 419, 532 Calculator

Given Input numbers are 636, 138, 419, 532

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

Divisors of 636

List of positive integer divisors of 636 that divides 636 without a remainder.

1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

Divisors of 138

List of positive integer divisors of 138 that divides 138 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 419

List of positive integer divisors of 419 that divides 419 without a remainder.

1, 419

Divisors of 532

List of positive integer divisors of 532 that divides 532 without a remainder.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

Greatest Common Divisior

We found the divisors of 636, 138, 419, 532 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 636, 138, 419, 532 is 1.

Therefore, GCD of numbers 636, 138, 419, 532 is 1

Given Input Data is 636, 138, 419, 532

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

Prime Factorization of 636 is 2 x 2 x 3 x 53

Prime Factorization of 138 is 2 x 3 x 23

Prime Factorization of 419 is 419

Prime Factorization of 532 is 2 x 2 x 7 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(636, 138) = 14628

GCD(636, 138) = ( 636 x 138 ) / 14628

GCD(636, 138) = 87768 / 14628

GCD(636, 138) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 419

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

LCM(6, 419) = 2514

GCD(6, 419) = ( 6 x 419 ) / 2514

GCD(6, 419) = 2514 / 2514

GCD(6, 419) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 532

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

LCM(1, 532) = 532

GCD(1, 532) = ( 1 x 532 ) / 532

GCD(1, 532) = 532 / 532

GCD(1, 532) = 1

GCD of 636, 138, 419, 532 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 634, 710, 432, 865
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• GCD of 133, 222, 101, 890

1. What is the GCD of 636, 138, 419, 532?

GCD of 636, 138, 419, 532 is 1

2. Where do I get the detailed procedure to find GCD of 636, 138, 419, 532?

You can find a detailed procedure to find GCD of 636, 138, 419, 532 on our page.

3. How to find GCD of 636, 138, 419, 532 on a calculator?

You can find the GCD of 636, 138, 419, 532 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.