GCD of 971, 769, 846, 918 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 971, 769, 846, 918 i.e. 1 largest integer that divides all the numbers equally.

GCD of 971, 769, 846, 918 is 1

GCD(971, 769, 846, 918) = 1

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

GCD of

GCD of numbers 971, 769, 846, 918 is 1

GCD(971, 769, 846, 918) = 1

GCD of 971,769,846,918 Calculator

GCDof 971,769,846,918 is 1

Given Input numbers are 971, 769, 846, 918

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

Divisors of 971

List of positive integer divisors of 971 that divides 971 without a remainder.

1, 971

Divisors of 769

List of positive integer divisors of 769 that divides 769 without a remainder.

1, 769

Divisors of 846

List of positive integer divisors of 846 that divides 846 without a remainder.

1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

Divisors of 918

List of positive integer divisors of 918 that divides 918 without a remainder.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Greatest Common Divisior

We found the divisors of 971, 769, 846, 918 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 971, 769, 846, 918 is 1.

Therefore, GCD of numbers 971, 769, 846, 918 is 1

Finding GCD of 971, 769, 846, 918 using Prime Factorization

Given Input Data is 971, 769, 846, 918

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

Prime Factorization of 971 is 971

Prime Factorization of 769 is 769

Prime Factorization of 846 is 2 x 3 x 3 x 47

Prime Factorization of 918 is 2 x 3 x 3 x 3 x 17

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

Finding GCD of 971, 769, 846, 918 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(971, 769) = 746699

GCD(971, 769) = ( 971 x 769 ) / 746699

GCD(971, 769) = 746699 / 746699

GCD(971, 769) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 846

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

LCM(1, 846) = 846

GCD(1, 846) = ( 1 x 846 ) / 846

GCD(1, 846) = 846 / 846

GCD(1, 846) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 918

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

LCM(1, 918) = 918

GCD(1, 918) = ( 1 x 918 ) / 918

GCD(1, 918) = 918 / 918

GCD(1, 918) = 1

GCD of 971, 769, 846, 918 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 971, 769, 846, 918

1. What is the GCD of 971, 769, 846, 918?

GCD of 971, 769, 846, 918 is 1


2. Where do I get the detailed procedure to find GCD of 971, 769, 846, 918?

You can find a detailed procedure to find GCD of 971, 769, 846, 918 on our page.


3. How to find GCD of 971, 769, 846, 918 on a calculator?

You can find the GCD of 971, 769, 846, 918 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.