GCD of 108, 527, 978, 787 Calculator

Given Input numbers are 108, 527, 978, 787

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

Divisors of 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 527

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

1, 17, 31, 527

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 787

List of positive integer divisors of 787 that divides 787 without a remainder.

1, 787

Greatest Common Divisior

We found the divisors of 108, 527, 978, 787 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 108, 527, 978, 787 is 1.

Therefore, GCD of numbers 108, 527, 978, 787 is 1

Given Input Data is 108, 527, 978, 787

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

Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3

Prime Factorization of 527 is 17 x 31

Prime Factorization of 978 is 2 x 3 x 163

Prime Factorization of 787 is 787

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(108, 527) = 56916

GCD(108, 527) = ( 108 x 527 ) / 56916

GCD(108, 527) = 56916 / 56916

GCD(108, 527) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 978

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

LCM(1, 978) = 978

GCD(1, 978) = ( 1 x 978 ) / 978

GCD(1, 978) = 978 / 978

GCD(1, 978) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 787

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

LCM(1, 787) = 787

GCD(1, 787) = ( 1 x 787 ) / 787

GCD(1, 787) = 787 / 787

GCD(1, 787) = 1

GCD of 108, 527, 978, 787 is 1

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1. What is the GCD of 108, 527, 978, 787?

GCD of 108, 527, 978, 787 is 1

2. Where do I get the detailed procedure to find GCD of 108, 527, 978, 787?

You can find a detailed procedure to find GCD of 108, 527, 978, 787 on our page.

3. How to find GCD of 108, 527, 978, 787 on a calculator?

You can find the GCD of 108, 527, 978, 787 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.