GCD of 601, 748, 20, 691 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 601, 748, 20, 691 i.e. 1 largest integer that divides all the numbers equally.

GCD of 601, 748, 20, 691 is 1

GCD(601, 748, 20, 691) = 1

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

GCD of

GCD of numbers 601, 748, 20, 691 is 1

GCD(601, 748, 20, 691) = 1

GCD of 601,748,20,691 Calculator

GCDof 601,748,20,691 is 1

Given Input numbers are 601, 748, 20, 691

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

Divisors of 601

List of positive integer divisors of 601 that divides 601 without a remainder.

1, 601

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 691

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

1, 691

Greatest Common Divisior

We found the divisors of 601, 748, 20, 691 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 601, 748, 20, 691 is 1.

Therefore, GCD of numbers 601, 748, 20, 691 is 1

Finding GCD of 601, 748, 20, 691 using Prime Factorization

Given Input Data is 601, 748, 20, 691

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

Prime Factorization of 601 is 601

Prime Factorization of 748 is 2 x 2 x 11 x 17

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 691 is 691

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

Finding GCD of 601, 748, 20, 691 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(601, 748) = 449548

GCD(601, 748) = ( 601 x 748 ) / 449548

GCD(601, 748) = 449548 / 449548

GCD(601, 748) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 20

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

LCM(1, 20) = 20

GCD(1, 20) = ( 1 x 20 ) / 20

GCD(1, 20) = 20 / 20

GCD(1, 20) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 691

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

LCM(1, 691) = 691

GCD(1, 691) = ( 1 x 691 ) / 691

GCD(1, 691) = 691 / 691

GCD(1, 691) = 1

GCD of 601, 748, 20, 691 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 601, 748, 20, 691

1. What is the GCD of 601, 748, 20, 691?

GCD of 601, 748, 20, 691 is 1


2. Where do I get the detailed procedure to find GCD of 601, 748, 20, 691?

You can find a detailed procedure to find GCD of 601, 748, 20, 691 on our page.


3. How to find GCD of 601, 748, 20, 691 on a calculator?

You can find the GCD of 601, 748, 20, 691 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.