GCD of 649, 142, 382, 636 Calculator

Given Input numbers are 649, 142, 382, 636

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

Divisors of 649

List of positive integer divisors of 649 that divides 649 without a remainder.

1, 11, 59, 649

Divisors of 142

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

1, 2, 71, 142

Divisors of 382

List of positive integer divisors of 382 that divides 382 without a remainder.

1, 2, 191, 382

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

Greatest Common Divisior

We found the divisors of 649, 142, 382, 636 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 649, 142, 382, 636 is 1.

Therefore, GCD of numbers 649, 142, 382, 636 is 1

Given Input Data is 649, 142, 382, 636

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

Prime Factorization of 649 is 11 x 59

Prime Factorization of 142 is 2 x 71

Prime Factorization of 382 is 2 x 191

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

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(649, 142) = 92158

GCD(649, 142) = ( 649 x 142 ) / 92158

GCD(649, 142) = 92158 / 92158

GCD(649, 142) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 382

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

LCM(1, 382) = 382

GCD(1, 382) = ( 1 x 382 ) / 382

GCD(1, 382) = 382 / 382

GCD(1, 382) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 636

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

LCM(1, 636) = 636

GCD(1, 636) = ( 1 x 636 ) / 636

GCD(1, 636) = 636 / 636

GCD(1, 636) = 1

GCD of 649, 142, 382, 636 is 1

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1. What is the GCD of 649, 142, 382, 636?

GCD of 649, 142, 382, 636 is 1

2. Where do I get the detailed procedure to find GCD of 649, 142, 382, 636?

You can find a detailed procedure to find GCD of 649, 142, 382, 636 on our page.

3. How to find GCD of 649, 142, 382, 636 on a calculator?

You can find the GCD of 649, 142, 382, 636 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.