GCD of 78, 556, 972, 891 Calculator

Given Input numbers are 78, 556, 972, 891

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

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

Divisors of 556

List of positive integer divisors of 556 that divides 556 without a remainder.

1, 2, 4, 139, 278, 556

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

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

Greatest Common Divisior

We found the divisors of 78, 556, 972, 891 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 78, 556, 972, 891 is 1.

Therefore, GCD of numbers 78, 556, 972, 891 is 1

Given Input Data is 78, 556, 972, 891

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

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 556 is 2 x 2 x 139

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

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

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(78, 556) = 21684

GCD(78, 556) = ( 78 x 556 ) / 21684

GCD(78, 556) = 43368 / 21684

GCD(78, 556) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 972

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

LCM(2, 972) = 972

GCD(2, 972) = ( 2 x 972 ) / 972

GCD(2, 972) = 1944 / 972

GCD(2, 972) = 2

Step3:

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

GCD of 78, 556, 972, 891 is 1

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• GCD of 27, 192, 743, 892
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1. What is the GCD of 78, 556, 972, 891?

GCD of 78, 556, 972, 891 is 1

2. Where do I get the detailed procedure to find GCD of 78, 556, 972, 891?

You can find a detailed procedure to find GCD of 78, 556, 972, 891 on our page.

3. How to find GCD of 78, 556, 972, 891 on a calculator?

You can find the GCD of 78, 556, 972, 891 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.