GCD of 972, 864, 49, 441 Calculator

Given Input numbers are 972, 864, 49, 441

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 864

List of positive integer divisors of 864 that divides 864 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

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

Greatest Common Divisior

We found the divisors of 972, 864, 49, 441 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 972, 864, 49, 441 is 1.

Therefore, GCD of numbers 972, 864, 49, 441 is 1

Given Input Data is 972, 864, 49, 441

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 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 49 is 7 x 7

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

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, 864) = 7776

GCD(972, 864) = ( 972 x 864 ) / 7776

GCD(972, 864) = 839808 / 7776

GCD(972, 864) = 108

Step2:

Here we consider the GCD from the above i.e. 108 as first number and the next as 49

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

LCM(108, 49) = 5292

GCD(108, 49) = ( 108 x 49 ) / 5292

GCD(108, 49) = 5292 / 5292

GCD(108, 49) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 441

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

LCM(1, 441) = 441

GCD(1, 441) = ( 1 x 441 ) / 441

GCD(1, 441) = 441 / 441

GCD(1, 441) = 1

GCD of 972, 864, 49, 441 is 1

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1. What is the GCD of 972, 864, 49, 441?

GCD of 972, 864, 49, 441 is 1

2. Where do I get the detailed procedure to find GCD of 972, 864, 49, 441?

You can find a detailed procedure to find GCD of 972, 864, 49, 441 on our page.

3. How to find GCD of 972, 864, 49, 441 on a calculator?

You can find the GCD of 972, 864, 49, 441 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.