GCD of 970, 321, 23, 753 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 970, 321, 23, 753 i.e. 1 largest integer that divides all the numbers equally.

GCD of 970, 321, 23, 753 is 1

GCD(970, 321, 23, 753) = 1

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

GCD of

GCD of numbers 970, 321, 23, 753 is 1

GCD(970, 321, 23, 753) = 1

GCD of 970,321,23,753 Calculator

GCDof 970,321,23,753 is 1

Given Input numbers are 970, 321, 23, 753

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

Divisors of 970

List of positive integer divisors of 970 that divides 970 without a remainder.

1, 2, 5, 10, 97, 194, 485, 970

Divisors of 321

List of positive integer divisors of 321 that divides 321 without a remainder.

1, 3, 107, 321

Divisors of 23

List of positive integer divisors of 23 that divides 23 without a remainder.

1, 23

Divisors of 753

List of positive integer divisors of 753 that divides 753 without a remainder.

1, 3, 251, 753

Greatest Common Divisior

We found the divisors of 970, 321, 23, 753 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 970, 321, 23, 753 is 1.

Therefore, GCD of numbers 970, 321, 23, 753 is 1

Finding GCD of 970, 321, 23, 753 using Prime Factorization

Given Input Data is 970, 321, 23, 753

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

Prime Factorization of 970 is 2 x 5 x 97

Prime Factorization of 321 is 3 x 107

Prime Factorization of 23 is 23

Prime Factorization of 753 is 3 x 251

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

Finding GCD of 970, 321, 23, 753 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(970, 321) = 311370

GCD(970, 321) = ( 970 x 321 ) / 311370

GCD(970, 321) = 311370 / 311370

GCD(970, 321) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 23

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

LCM(1, 23) = 23

GCD(1, 23) = ( 1 x 23 ) / 23

GCD(1, 23) = 23 / 23

GCD(1, 23) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 753

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

LCM(1, 753) = 753

GCD(1, 753) = ( 1 x 753 ) / 753

GCD(1, 753) = 753 / 753

GCD(1, 753) = 1

GCD of 970, 321, 23, 753 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 970, 321, 23, 753

1. What is the GCD of 970, 321, 23, 753?

GCD of 970, 321, 23, 753 is 1


2. Where do I get the detailed procedure to find GCD of 970, 321, 23, 753?

You can find a detailed procedure to find GCD of 970, 321, 23, 753 on our page.


3. How to find GCD of 970, 321, 23, 753 on a calculator?

You can find the GCD of 970, 321, 23, 753 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.