GCD of 564, 130, 646, 780 Calculator

Given Input numbers are 564, 130, 646, 780

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 130

List of positive integer divisors of 130 that divides 130 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130

Divisors of 646

List of positive integer divisors of 646 that divides 646 without a remainder.

1, 2, 17, 19, 34, 38, 323, 646

Divisors of 780

List of positive integer divisors of 780 that divides 780 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Greatest Common Divisior

We found the divisors of 564, 130, 646, 780 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 564, 130, 646, 780 is 2.

Therefore, GCD of numbers 564, 130, 646, 780 is 2

Given Input Data is 564, 130, 646, 780

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 130 is 2 x 5 x 13

Prime Factorization of 646 is 2 x 17 x 19

Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 130) = 36660

GCD(564, 130) = ( 564 x 130 ) / 36660

GCD(564, 130) = 73320 / 36660

GCD(564, 130) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 646

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

LCM(2, 646) = 646

GCD(2, 646) = ( 2 x 646 ) / 646

GCD(2, 646) = 1292 / 646

GCD(2, 646) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 780

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

LCM(2, 780) = 780

GCD(2, 780) = ( 2 x 780 ) / 780

GCD(2, 780) = 1560 / 780

GCD(2, 780) = 2

GCD of 564, 130, 646, 780 is 2

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1. What is the GCD of 564, 130, 646, 780?

GCD of 564, 130, 646, 780 is 2

2. Where do I get the detailed procedure to find GCD of 564, 130, 646, 780?

You can find a detailed procedure to find GCD of 564, 130, 646, 780 on our page.

3. How to find GCD of 564, 130, 646, 780 on a calculator?

You can find the GCD of 564, 130, 646, 780 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.