GCD of 107, 564, 661 Calculator

Given Input numbers are 107, 564, 661

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

Divisors of 107

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

1, 107

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 661

List of positive integer divisors of 661 that divides 661 without a remainder.

1, 661

Greatest Common Divisior

We found the divisors of 107, 564, 661 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 107, 564, 661 is 1.

Therefore, GCD of numbers 107, 564, 661 is 1

Given Input Data is 107, 564, 661

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

Prime Factorization of 107 is 107

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

Prime Factorization of 661 is 661

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(107, 564) = 60348

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

GCD(107, 564) = 60348 / 60348

GCD(107, 564) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 661

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

LCM(1, 661) = 661

GCD(1, 661) = ( 1 x 661 ) / 661

GCD(1, 661) = 661 / 661

GCD(1, 661) = 1

GCD of 107, 564, 661 is 1

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1. What is the GCD of 107, 564, 661?

GCD of 107, 564, 661 is 1

2. Where do I get the detailed procedure to find GCD of 107, 564, 661?

You can find a detailed procedure to find GCD of 107, 564, 661 on our page.

3. How to find GCD of 107, 564, 661 on a calculator?

You can find the GCD of 107, 564, 661 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.