GCD of 872, 711, 149 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 872, 711, 149 i.e. 1 largest integer that divides all the numbers equally.

GCD of 872, 711, 149 is 1

GCD(872, 711, 149) = 1

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

GCD of

GCD of numbers 872, 711, 149 is 1

GCD(872, 711, 149) = 1

GCD of 872,711,149 Calculator

GCDof 872,711,149 is 1

Given Input numbers are 872, 711, 149

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

Divisors of 872

List of positive integer divisors of 872 that divides 872 without a remainder.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 711

List of positive integer divisors of 711 that divides 711 without a remainder.

1, 3, 9, 79, 237, 711

Divisors of 149

List of positive integer divisors of 149 that divides 149 without a remainder.

1, 149

Greatest Common Divisior

We found the divisors of 872, 711, 149 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 872, 711, 149 is 1.

Therefore, GCD of numbers 872, 711, 149 is 1

Finding GCD of 872, 711, 149 using Prime Factorization

Given Input Data is 872, 711, 149

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

Prime Factorization of 872 is 2 x 2 x 2 x 109

Prime Factorization of 711 is 3 x 3 x 79

Prime Factorization of 149 is 149

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

Finding GCD of 872, 711, 149 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(872, 711) = 619992

GCD(872, 711) = ( 872 x 711 ) / 619992

GCD(872, 711) = 619992 / 619992

GCD(872, 711) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 149

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

LCM(1, 149) = 149

GCD(1, 149) = ( 1 x 149 ) / 149

GCD(1, 149) = 149 / 149

GCD(1, 149) = 1

GCD of 872, 711, 149 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 872, 711, 149

1. What is the GCD of 872, 711, 149?

GCD of 872, 711, 149 is 1


2. Where do I get the detailed procedure to find GCD of 872, 711, 149?

You can find a detailed procedure to find GCD of 872, 711, 149 on our page.


3. How to find GCD of 872, 711, 149 on a calculator?

You can find the GCD of 872, 711, 149 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.