GCD of 752, 655, 72, 921 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 752, 655, 72, 921 i.e. 1 largest integer that divides all the numbers equally.

GCD of 752, 655, 72, 921 is 1

GCD(752, 655, 72, 921) = 1

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

GCD of

GCD of numbers 752, 655, 72, 921 is 1

GCD(752, 655, 72, 921) = 1

GCD of 752,655,72,921 Calculator

GCDof 752,655,72,921 is 1

Given Input numbers are 752, 655, 72, 921

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

Divisors of 752

List of positive integer divisors of 752 that divides 752 without a remainder.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Divisors of 655

List of positive integer divisors of 655 that divides 655 without a remainder.

1, 5, 131, 655

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 921

List of positive integer divisors of 921 that divides 921 without a remainder.

1, 3, 307, 921

Greatest Common Divisior

We found the divisors of 752, 655, 72, 921 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 752, 655, 72, 921 is 1.

Therefore, GCD of numbers 752, 655, 72, 921 is 1

Finding GCD of 752, 655, 72, 921 using Prime Factorization

Given Input Data is 752, 655, 72, 921

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

Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47

Prime Factorization of 655 is 5 x 131

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 921 is 3 x 307

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

Finding GCD of 752, 655, 72, 921 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(752, 655) = 492560

GCD(752, 655) = ( 752 x 655 ) / 492560

GCD(752, 655) = 492560 / 492560

GCD(752, 655) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 72

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

LCM(1, 72) = 72

GCD(1, 72) = ( 1 x 72 ) / 72

GCD(1, 72) = 72 / 72

GCD(1, 72) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 921

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

LCM(1, 921) = 921

GCD(1, 921) = ( 1 x 921 ) / 921

GCD(1, 921) = 921 / 921

GCD(1, 921) = 1

GCD of 752, 655, 72, 921 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 752, 655, 72, 921

1. What is the GCD of 752, 655, 72, 921?

GCD of 752, 655, 72, 921 is 1


2. Where do I get the detailed procedure to find GCD of 752, 655, 72, 921?

You can find a detailed procedure to find GCD of 752, 655, 72, 921 on our page.


3. How to find GCD of 752, 655, 72, 921 on a calculator?

You can find the GCD of 752, 655, 72, 921 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.