GCD of 564, 107, 212, 643 Calculator

Given Input numbers are 564, 107, 212, 643

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

Divisors of 564

List of positive integer divisors of 564 that divides 564 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 107

List of positive integer divisors of 107 that divides 107 without a remainder.

1, 107

Divisors of 212

List of positive integer divisors of 212 that divides 212 without a remainder.

1, 2, 4, 53, 106, 212

Divisors of 643

List of positive integer divisors of 643 that divides 643 without a remainder.

1, 643

Greatest Common Divisior

We found the divisors of 564, 107, 212, 643 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 564, 107, 212, 643 is 1.

Therefore, GCD of numbers 564, 107, 212, 643 is 1

Given Input Data is 564, 107, 212, 643

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

Prime Factorization of 564 is 2 x 2 x 3 x 47

Prime Factorization of 107 is 107

Prime Factorization of 212 is 2 x 2 x 53

Prime Factorization of 643 is 643

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(564, 107) = 60348

GCD(564, 107) = ( 564 x 107 ) / 60348

GCD(564, 107) = 60348 / 60348

GCD(564, 107) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 212

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

LCM(1, 212) = 212

GCD(1, 212) = ( 1 x 212 ) / 212

GCD(1, 212) = 212 / 212

GCD(1, 212) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 643

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

LCM(1, 643) = 643

GCD(1, 643) = ( 1 x 643 ) / 643

GCD(1, 643) = 643 / 643

GCD(1, 643) = 1

GCD of 564, 107, 212, 643 is 1

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1. What is the GCD of 564, 107, 212, 643?

GCD of 564, 107, 212, 643 is 1

2. Where do I get the detailed procedure to find GCD of 564, 107, 212, 643?

You can find a detailed procedure to find GCD of 564, 107, 212, 643 on our page.

3. How to find GCD of 564, 107, 212, 643 on a calculator?

You can find the GCD of 564, 107, 212, 643 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.