GCD of 972, 922, 69, 528 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 972, 922, 69, 528 i.e. 1 largest integer that divides all the numbers equally.

GCD of 972, 922, 69, 528 is 1

GCD(972, 922, 69, 528) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 972, 922, 69, 528 is 1

GCD(972, 922, 69, 528) = 1

GCD of 972,922,69,528 Calculator

GCDof 972,922,69,528 is 1

Given Input numbers are 972, 922, 69, 528

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 922

List of positive integer divisors of 922 that divides 922 without a remainder.

1, 2, 461, 922

Divisors of 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

Divisors of 528

List of positive integer divisors of 528 that divides 528 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

Greatest Common Divisior

We found the divisors of 972, 922, 69, 528 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 972, 922, 69, 528 is 1.

Therefore, GCD of numbers 972, 922, 69, 528 is 1

Finding GCD of 972, 922, 69, 528 using Prime Factorization

Given Input Data is 972, 922, 69, 528

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 922 is 2 x 461

Prime Factorization of 69 is 3 x 23

Prime Factorization of 528 is 2 x 2 x 2 x 2 x 3 x 11

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 972, 922, 69, 528 using LCM Formula

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, 922) = 448092

GCD(972, 922) = ( 972 x 922 ) / 448092

GCD(972, 922) = 896184 / 448092

GCD(972, 922) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 69

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

LCM(2, 69) = 138

GCD(2, 69) = ( 2 x 69 ) / 138

GCD(2, 69) = 138 / 138

GCD(2, 69) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 528

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

LCM(1, 528) = 528

GCD(1, 528) = ( 1 x 528 ) / 528

GCD(1, 528) = 528 / 528

GCD(1, 528) = 1

GCD of 972, 922, 69, 528 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 972, 922, 69, 528

1. What is the GCD of 972, 922, 69, 528?

GCD of 972, 922, 69, 528 is 1


2. Where do I get the detailed procedure to find GCD of 972, 922, 69, 528?

You can find a detailed procedure to find GCD of 972, 922, 69, 528 on our page.


3. How to find GCD of 972, 922, 69, 528 on a calculator?

You can find the GCD of 972, 922, 69, 528 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.