GCD of 972, 855, 893, 565 Calculator

Given Input numbers are 972, 855, 893, 565

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

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 855

List of positive integer divisors of 855 that divides 855 without a remainder.

1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

Divisors of 893

List of positive integer divisors of 893 that divides 893 without a remainder.

1, 19, 47, 893

Divisors of 565

List of positive integer divisors of 565 that divides 565 without a remainder.

1, 5, 113, 565

Greatest Common Divisior

We found the divisors of 972, 855, 893, 565 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 972, 855, 893, 565 is 1.

Therefore, GCD of numbers 972, 855, 893, 565 is 1

Given Input Data is 972, 855, 893, 565

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

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

Prime Factorization of 855 is 3 x 3 x 5 x 19

Prime Factorization of 893 is 19 x 47

Prime Factorization of 565 is 5 x 113

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(972, 855) = 92340

GCD(972, 855) = ( 972 x 855 ) / 92340

GCD(972, 855) = 831060 / 92340

GCD(972, 855) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 893

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

LCM(9, 893) = 8037

GCD(9, 893) = ( 9 x 893 ) / 8037

GCD(9, 893) = 8037 / 8037

GCD(9, 893) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 565

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

LCM(1, 565) = 565

GCD(1, 565) = ( 1 x 565 ) / 565

GCD(1, 565) = 565 / 565

GCD(1, 565) = 1

GCD of 972, 855, 893, 565 is 1

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1. What is the GCD of 972, 855, 893, 565?

GCD of 972, 855, 893, 565 is 1

2. Where do I get the detailed procedure to find GCD of 972, 855, 893, 565?

You can find a detailed procedure to find GCD of 972, 855, 893, 565 on our page.

3. How to find GCD of 972, 855, 893, 565 on a calculator?

You can find the GCD of 972, 855, 893, 565 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.