GCD of 149, 952, 162, 872 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 149, 952, 162, 872 i.e. 1 largest integer that divides all the numbers equally.

GCD of 149, 952, 162, 872 is 1

GCD(149, 952, 162, 872) = 1

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

GCD of

GCD of numbers 149, 952, 162, 872 is 1

GCD(149, 952, 162, 872) = 1

GCD of 149,952,162,872 Calculator

GCDof 149,952,162,872 is 1

Given Input numbers are 149, 952, 162, 872

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

Divisors of 149

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

1, 149

Divisors of 952

List of positive integer divisors of 952 that divides 952 without a remainder.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

Divisors of 162

List of positive integer divisors of 162 that divides 162 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

Divisors of 872

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

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

Greatest Common Divisior

We found the divisors of 149, 952, 162, 872 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 149, 952, 162, 872 is 1.

Therefore, GCD of numbers 149, 952, 162, 872 is 1

Finding GCD of 149, 952, 162, 872 using Prime Factorization

Given Input Data is 149, 952, 162, 872

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

Prime Factorization of 149 is 149

Prime Factorization of 952 is 2 x 2 x 2 x 7 x 17

Prime Factorization of 162 is 2 x 3 x 3 x 3 x 3

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

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

Finding GCD of 149, 952, 162, 872 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(149, 952) = 141848

GCD(149, 952) = ( 149 x 952 ) / 141848

GCD(149, 952) = 141848 / 141848

GCD(149, 952) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 162

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

LCM(1, 162) = 162

GCD(1, 162) = ( 1 x 162 ) / 162

GCD(1, 162) = 162 / 162

GCD(1, 162) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 872

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

LCM(1, 872) = 872

GCD(1, 872) = ( 1 x 872 ) / 872

GCD(1, 872) = 872 / 872

GCD(1, 872) = 1

GCD of 149, 952, 162, 872 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 149, 952, 162, 872

1. What is the GCD of 149, 952, 162, 872?

GCD of 149, 952, 162, 872 is 1


2. Where do I get the detailed procedure to find GCD of 149, 952, 162, 872?

You can find a detailed procedure to find GCD of 149, 952, 162, 872 on our page.


3. How to find GCD of 149, 952, 162, 872 on a calculator?

You can find the GCD of 149, 952, 162, 872 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.