GCD of 972, 578, 441, 645 Calculator

Given Input numbers are 972, 578, 441, 645

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 578

List of positive integer divisors of 578 that divides 578 without a remainder.

1, 2, 17, 34, 289, 578

Divisors of 441

List of positive integer divisors of 441 that divides 441 without a remainder.

1, 3, 7, 9, 21, 49, 63, 147, 441

Divisors of 645

List of positive integer divisors of 645 that divides 645 without a remainder.

1, 3, 5, 15, 43, 129, 215, 645

Greatest Common Divisior

We found the divisors of 972, 578, 441, 645 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 972, 578, 441, 645 is 1.

Therefore, GCD of numbers 972, 578, 441, 645 is 1

Given Input Data is 972, 578, 441, 645

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 578 is 2 x 17 x 17

Prime Factorization of 441 is 3 x 3 x 7 x 7

Prime Factorization of 645 is 3 x 5 x 43

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, 578) = 280908

GCD(972, 578) = ( 972 x 578 ) / 280908

GCD(972, 578) = 561816 / 280908

GCD(972, 578) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 441

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

LCM(2, 441) = 882

GCD(2, 441) = ( 2 x 441 ) / 882

GCD(2, 441) = 882 / 882

GCD(2, 441) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 645

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

LCM(1, 645) = 645

GCD(1, 645) = ( 1 x 645 ) / 645

GCD(1, 645) = 645 / 645

GCD(1, 645) = 1

GCD of 972, 578, 441, 645 is 1

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1. What is the GCD of 972, 578, 441, 645?

GCD of 972, 578, 441, 645 is 1

2. Where do I get the detailed procedure to find GCD of 972, 578, 441, 645?

You can find a detailed procedure to find GCD of 972, 578, 441, 645 on our page.

3. How to find GCD of 972, 578, 441, 645 on a calculator?

You can find the GCD of 972, 578, 441, 645 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.