GCD of 978, 100, 891, 972 Calculator

Given Input numbers are 978, 100, 891, 972

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

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 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 891

List of positive integer divisors of 891 that divides 891 without a remainder.

1, 3, 9, 11, 27, 33, 81, 99, 297, 891

Divisors of 972

List of positive integer divisors of 972 that divides 972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Greatest Common Divisior

We found the divisors of 978, 100, 891, 972 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 978, 100, 891, 972 is 1.

Therefore, GCD of numbers 978, 100, 891, 972 is 1

Given Input Data is 978, 100, 891, 972

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

Prime Factorization of 978 is 2 x 3 x 163

Prime Factorization of 100 is 2 x 2 x 5 x 5

Prime Factorization of 891 is 3 x 3 x 3 x 3 x 11

Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3

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(978, 100) = 48900

GCD(978, 100) = ( 978 x 100 ) / 48900

GCD(978, 100) = 97800 / 48900

GCD(978, 100) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 891

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

LCM(2, 891) = 1782

GCD(2, 891) = ( 2 x 891 ) / 1782

GCD(2, 891) = 1782 / 1782

GCD(2, 891) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 972

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

LCM(1, 972) = 972

GCD(1, 972) = ( 1 x 972 ) / 972

GCD(1, 972) = 972 / 972

GCD(1, 972) = 1

GCD of 978, 100, 891, 972 is 1

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1. What is the GCD of 978, 100, 891, 972?

GCD of 978, 100, 891, 972 is 1

2. Where do I get the detailed procedure to find GCD of 978, 100, 891, 972?

You can find a detailed procedure to find GCD of 978, 100, 891, 972 on our page.

3. How to find GCD of 978, 100, 891, 972 on a calculator?

You can find the GCD of 978, 100, 891, 972 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.