GCD of 972, 852, 815, 439 Calculator

Given Input numbers are 972, 852, 815, 439

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 852

List of positive integer divisors of 852 that divides 852 without a remainder.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 815

List of positive integer divisors of 815 that divides 815 without a remainder.

1, 5, 163, 815

Divisors of 439

List of positive integer divisors of 439 that divides 439 without a remainder.

1, 439

Greatest Common Divisior

We found the divisors of 972, 852, 815, 439 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 972, 852, 815, 439 is 1.

Therefore, GCD of numbers 972, 852, 815, 439 is 1

Given Input Data is 972, 852, 815, 439

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 852 is 2 x 2 x 3 x 71

Prime Factorization of 815 is 5 x 163

Prime Factorization of 439 is 439

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, 852) = 69012

GCD(972, 852) = ( 972 x 852 ) / 69012

GCD(972, 852) = 828144 / 69012

GCD(972, 852) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 815

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

LCM(12, 815) = 9780

GCD(12, 815) = ( 12 x 815 ) / 9780

GCD(12, 815) = 9780 / 9780

GCD(12, 815) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 439

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

LCM(1, 439) = 439

GCD(1, 439) = ( 1 x 439 ) / 439

GCD(1, 439) = 439 / 439

GCD(1, 439) = 1

GCD of 972, 852, 815, 439 is 1

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1. What is the GCD of 972, 852, 815, 439?

GCD of 972, 852, 815, 439 is 1

2. Where do I get the detailed procedure to find GCD of 972, 852, 815, 439?

You can find a detailed procedure to find GCD of 972, 852, 815, 439 on our page.

3. How to find GCD of 972, 852, 815, 439 on a calculator?

You can find the GCD of 972, 852, 815, 439 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.