GCD of 660, 978, 527, 564 Calculator

Given Input numbers are 660, 978, 527, 564

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

Divisors of 660

List of positive integer divisors of 660 that divides 660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 978

List of positive integer divisors of 978 that divides 978 without a remainder.

1, 2, 3, 6, 163, 326, 489, 978

Divisors of 527

List of positive integer divisors of 527 that divides 527 without a remainder.

1, 17, 31, 527

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

Greatest Common Divisior

We found the divisors of 660, 978, 527, 564 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 660, 978, 527, 564 is 1.

Therefore, GCD of numbers 660, 978, 527, 564 is 1

Given Input Data is 660, 978, 527, 564

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

Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11

Prime Factorization of 978 is 2 x 3 x 163

Prime Factorization of 527 is 17 x 31

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

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(660, 978) = 107580

GCD(660, 978) = ( 660 x 978 ) / 107580

GCD(660, 978) = 645480 / 107580

GCD(660, 978) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 527

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

LCM(6, 527) = 3162

GCD(6, 527) = ( 6 x 527 ) / 3162

GCD(6, 527) = 3162 / 3162

GCD(6, 527) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 564

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

LCM(1, 564) = 564

GCD(1, 564) = ( 1 x 564 ) / 564

GCD(1, 564) = 564 / 564

GCD(1, 564) = 1

GCD of 660, 978, 527, 564 is 1

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1. What is the GCD of 660, 978, 527, 564?

GCD of 660, 978, 527, 564 is 1

2. Where do I get the detailed procedure to find GCD of 660, 978, 527, 564?

You can find a detailed procedure to find GCD of 660, 978, 527, 564 on our page.

3. How to find GCD of 660, 978, 527, 564 on a calculator?

You can find the GCD of 660, 978, 527, 564 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.