GCD of 723, 140, 97, 651 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 723, 140, 97, 651 i.e. 1 largest integer that divides all the numbers equally.

GCD of 723, 140, 97, 651 is 1

GCD(723, 140, 97, 651) = 1

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

GCD of

GCD of numbers 723, 140, 97, 651 is 1

GCD(723, 140, 97, 651) = 1

GCD of 723,140,97,651 Calculator

GCDof 723,140,97,651 is 1

Given Input numbers are 723, 140, 97, 651

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

Divisors of 723

List of positive integer divisors of 723 that divides 723 without a remainder.

1, 3, 241, 723

Divisors of 140

List of positive integer divisors of 140 that divides 140 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

Divisors of 97

List of positive integer divisors of 97 that divides 97 without a remainder.

1, 97

Divisors of 651

List of positive integer divisors of 651 that divides 651 without a remainder.

1, 3, 7, 21, 31, 93, 217, 651

Greatest Common Divisior

We found the divisors of 723, 140, 97, 651 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 723, 140, 97, 651 is 1.

Therefore, GCD of numbers 723, 140, 97, 651 is 1

Finding GCD of 723, 140, 97, 651 using Prime Factorization

Given Input Data is 723, 140, 97, 651

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

Prime Factorization of 723 is 3 x 241

Prime Factorization of 140 is 2 x 2 x 5 x 7

Prime Factorization of 97 is 97

Prime Factorization of 651 is 3 x 7 x 31

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

Finding GCD of 723, 140, 97, 651 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(723, 140) = 101220

GCD(723, 140) = ( 723 x 140 ) / 101220

GCD(723, 140) = 101220 / 101220

GCD(723, 140) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 97

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

LCM(1, 97) = 97

GCD(1, 97) = ( 1 x 97 ) / 97

GCD(1, 97) = 97 / 97

GCD(1, 97) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 651

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

LCM(1, 651) = 651

GCD(1, 651) = ( 1 x 651 ) / 651

GCD(1, 651) = 651 / 651

GCD(1, 651) = 1

GCD of 723, 140, 97, 651 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 723, 140, 97, 651

1. What is the GCD of 723, 140, 97, 651?

GCD of 723, 140, 97, 651 is 1


2. Where do I get the detailed procedure to find GCD of 723, 140, 97, 651?

You can find a detailed procedure to find GCD of 723, 140, 97, 651 on our page.


3. How to find GCD of 723, 140, 97, 651 on a calculator?

You can find the GCD of 723, 140, 97, 651 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.