GCD of 156, 696, 998 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, 696, 998 i.e. 2 largest integer that divides all the numbers equally.

GCD of 156, 696, 998 is 2

GCD(156, 696, 998) = 2

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

GCD of

GCD of numbers 156, 696, 998 is 2

GCD(156, 696, 998) = 2

GCD of 156,696,998 Calculator

GCDof 156,696,998 is 2

Given Input numbers are 156, 696, 998

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 696

List of positive integer divisors of 696 that divides 696 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 998

List of positive integer divisors of 998 that divides 998 without a remainder.

1, 2, 499, 998

Greatest Common Divisior

We found the divisors of 156, 696, 998 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 156, 696, 998 is 2.

Therefore, GCD of numbers 156, 696, 998 is 2

Finding GCD of 156, 696, 998 using Prime Factorization

Given Input Data is 156, 696, 998

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 696 is 2 x 2 x 2 x 3 x 29

Prime Factorization of 998 is 2 x 499

Highest common occurrences in the given inputs are 21

Multiplying them we get the GCD as 2

Finding GCD of 156, 696, 998 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, 696) = 9048

GCD(156, 696) = ( 156 x 696 ) / 9048

GCD(156, 696) = 108576 / 9048

GCD(156, 696) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 998

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

LCM(12, 998) = 5988

GCD(12, 998) = ( 12 x 998 ) / 5988

GCD(12, 998) = 11976 / 5988

GCD(12, 998) = 2

GCD of 156, 696, 998 is 2

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FAQs on GCD of numbers 156, 696, 998

1. What is the GCD of 156, 696, 998?

GCD of 156, 696, 998 is 2

2. Where do I get the detailed procedure to find GCD of 156, 696, 998?

You can find a detailed procedure to find GCD of 156, 696, 998 on our page.

3. How to find GCD of 156, 696, 998 on a calculator?

You can find the GCD of 156, 696, 998 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.