GCD of 156, 698, 971 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 156, 698, 971 i.e. 1 largest integer that divides all the numbers equally.

GCD of 156, 698, 971 is 1

GCD(156, 698, 971) = 1

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

GCD of

GCD of numbers 156, 698, 971 is 1

GCD(156, 698, 971) = 1

GCD of 156,698,971 Calculator

GCDof 156,698,971 is 1

Given Input numbers are 156, 698, 971

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

Divisors of 156

List of positive integer divisors of 156 that divides 156 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

Divisors of 698

List of positive integer divisors of 698 that divides 698 without a remainder.

1, 2, 349, 698

Divisors of 971

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

1, 971

Greatest Common Divisior

We found the divisors of 156, 698, 971 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 156, 698, 971 is 1.

Therefore, GCD of numbers 156, 698, 971 is 1

Finding GCD of 156, 698, 971 using Prime Factorization

Given Input Data is 156, 698, 971

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

Prime Factorization of 156 is 2 x 2 x 3 x 13

Prime Factorization of 698 is 2 x 349

Prime Factorization of 971 is 971

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

Finding GCD of 156, 698, 971 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(156, 698) = 54444

GCD(156, 698) = ( 156 x 698 ) / 54444

GCD(156, 698) = 108888 / 54444

GCD(156, 698) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 971

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

LCM(2, 971) = 1942

GCD(2, 971) = ( 2 x 971 ) / 1942

GCD(2, 971) = 1942 / 1942

GCD(2, 971) = 1

GCD of 156, 698, 971 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 156, 698, 971

1. What is the GCD of 156, 698, 971?

GCD of 156, 698, 971 is 1


2. Where do I get the detailed procedure to find GCD of 156, 698, 971?

You can find a detailed procedure to find GCD of 156, 698, 971 on our page.


3. How to find GCD of 156, 698, 971 on a calculator?

You can find the GCD of 156, 698, 971 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.