GCD of 954, 932, 21, 720 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 954, 932, 21, 720 i.e. 1 largest integer that divides all the numbers equally.

GCD of 954, 932, 21, 720 is 1

GCD(954, 932, 21, 720) = 1

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

GCD of

GCD of numbers 954, 932, 21, 720 is 1

GCD(954, 932, 21, 720) = 1

GCD of 954,932,21,720 Calculator

GCDof 954,932,21,720 is 1

Given Input numbers are 954, 932, 21, 720

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

Divisors of 954

List of positive integer divisors of 954 that divides 954 without a remainder.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

Divisors of 932

List of positive integer divisors of 932 that divides 932 without a remainder.

1, 2, 4, 233, 466, 932

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 720

List of positive integer divisors of 720 that divides 720 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Greatest Common Divisior

We found the divisors of 954, 932, 21, 720 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 954, 932, 21, 720 is 1.

Therefore, GCD of numbers 954, 932, 21, 720 is 1

Finding GCD of 954, 932, 21, 720 using Prime Factorization

Given Input Data is 954, 932, 21, 720

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

Prime Factorization of 954 is 2 x 3 x 3 x 53

Prime Factorization of 932 is 2 x 2 x 233

Prime Factorization of 21 is 3 x 7

Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5

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

Finding GCD of 954, 932, 21, 720 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(954, 932) = 444564

GCD(954, 932) = ( 954 x 932 ) / 444564

GCD(954, 932) = 889128 / 444564

GCD(954, 932) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 21

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

LCM(2, 21) = 42

GCD(2, 21) = ( 2 x 21 ) / 42

GCD(2, 21) = 42 / 42

GCD(2, 21) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 720

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

LCM(1, 720) = 720

GCD(1, 720) = ( 1 x 720 ) / 720

GCD(1, 720) = 720 / 720

GCD(1, 720) = 1

GCD of 954, 932, 21, 720 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 954, 932, 21, 720

1. What is the GCD of 954, 932, 21, 720?

GCD of 954, 932, 21, 720 is 1


2. Where do I get the detailed procedure to find GCD of 954, 932, 21, 720?

You can find a detailed procedure to find GCD of 954, 932, 21, 720 on our page.


3. How to find GCD of 954, 932, 21, 720 on a calculator?

You can find the GCD of 954, 932, 21, 720 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.