GCD of 691, 251, 978, 421 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 691, 251, 978, 421 i.e. 1 largest integer that divides all the numbers equally.

GCD of 691, 251, 978, 421 is 1

GCD(691, 251, 978, 421) = 1

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

GCD of

GCD of numbers 691, 251, 978, 421 is 1

GCD(691, 251, 978, 421) = 1

GCD of 691,251,978,421 Calculator

GCDof 691,251,978,421 is 1

Given Input numbers are 691, 251, 978, 421

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

Divisors of 691

List of positive integer divisors of 691 that divides 691 without a remainder.

1, 691

Divisors of 251

List of positive integer divisors of 251 that divides 251 without a remainder.

1, 251

Divisors of 978

List of positive integer divisors of 978 that divides 978 without a remainder.

1, 2, 3, 6, 163, 326, 489, 978

Divisors of 421

List of positive integer divisors of 421 that divides 421 without a remainder.

1, 421

Greatest Common Divisior

We found the divisors of 691, 251, 978, 421 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 691, 251, 978, 421 is 1.

Therefore, GCD of numbers 691, 251, 978, 421 is 1

Finding GCD of 691, 251, 978, 421 using Prime Factorization

Given Input Data is 691, 251, 978, 421

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

Prime Factorization of 691 is 691

Prime Factorization of 251 is 251

Prime Factorization of 978 is 2 x 3 x 163

Prime Factorization of 421 is 421

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

Finding GCD of 691, 251, 978, 421 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(691, 251) = 173441

GCD(691, 251) = ( 691 x 251 ) / 173441

GCD(691, 251) = 173441 / 173441

GCD(691, 251) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 978

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

LCM(1, 978) = 978

GCD(1, 978) = ( 1 x 978 ) / 978

GCD(1, 978) = 978 / 978

GCD(1, 978) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 421

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

LCM(1, 421) = 421

GCD(1, 421) = ( 1 x 421 ) / 421

GCD(1, 421) = 421 / 421

GCD(1, 421) = 1

GCD of 691, 251, 978, 421 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 691, 251, 978, 421

1. What is the GCD of 691, 251, 978, 421?

GCD of 691, 251, 978, 421 is 1


2. Where do I get the detailed procedure to find GCD of 691, 251, 978, 421?

You can find a detailed procedure to find GCD of 691, 251, 978, 421 on our page.


3. How to find GCD of 691, 251, 978, 421 on a calculator?

You can find the GCD of 691, 251, 978, 421 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.