GCD of 959, 827, 47, 761 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 959, 827, 47, 761 i.e. 1 largest integer that divides all the numbers equally.

GCD of 959, 827, 47, 761 is 1

GCD(959, 827, 47, 761) = 1

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

GCD of

GCD of numbers 959, 827, 47, 761 is 1

GCD(959, 827, 47, 761) = 1

GCD of 959,827,47,761 Calculator

GCDof 959,827,47,761 is 1

Given Input numbers are 959, 827, 47, 761

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

Divisors of 959

List of positive integer divisors of 959 that divides 959 without a remainder.

1, 7, 137, 959

Divisors of 827

List of positive integer divisors of 827 that divides 827 without a remainder.

1, 827

Divisors of 47

List of positive integer divisors of 47 that divides 47 without a remainder.

1, 47

Divisors of 761

List of positive integer divisors of 761 that divides 761 without a remainder.

1, 761

Greatest Common Divisior

We found the divisors of 959, 827, 47, 761 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 959, 827, 47, 761 is 1.

Therefore, GCD of numbers 959, 827, 47, 761 is 1

Finding GCD of 959, 827, 47, 761 using Prime Factorization

Given Input Data is 959, 827, 47, 761

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

Prime Factorization of 959 is 7 x 137

Prime Factorization of 827 is 827

Prime Factorization of 47 is 47

Prime Factorization of 761 is 761

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

Finding GCD of 959, 827, 47, 761 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(959, 827) = 793093

GCD(959, 827) = ( 959 x 827 ) / 793093

GCD(959, 827) = 793093 / 793093

GCD(959, 827) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 47

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

LCM(1, 47) = 47

GCD(1, 47) = ( 1 x 47 ) / 47

GCD(1, 47) = 47 / 47

GCD(1, 47) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 761

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

LCM(1, 761) = 761

GCD(1, 761) = ( 1 x 761 ) / 761

GCD(1, 761) = 761 / 761

GCD(1, 761) = 1

GCD of 959, 827, 47, 761 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 959, 827, 47, 761

1. What is the GCD of 959, 827, 47, 761?

GCD of 959, 827, 47, 761 is 1


2. Where do I get the detailed procedure to find GCD of 959, 827, 47, 761?

You can find a detailed procedure to find GCD of 959, 827, 47, 761 on our page.


3. How to find GCD of 959, 827, 47, 761 on a calculator?

You can find the GCD of 959, 827, 47, 761 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.