GCD of 149, 924, 91, 725 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, 924, 91, 725 i.e. 1 largest integer that divides all the numbers equally.

GCD of 149, 924, 91, 725 is 1

GCD(149, 924, 91, 725) = 1

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

GCD of

GCD of numbers 149, 924, 91, 725 is 1

GCD(149, 924, 91, 725) = 1

GCD of 149,924,91,725 Calculator

GCDof 149,924,91,725 is 1

Given Input numbers are 149, 924, 91, 725

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 924

List of positive integer divisors of 924 that divides 924 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

Divisors of 91

List of positive integer divisors of 91 that divides 91 without a remainder.

1, 7, 13, 91

Divisors of 725

List of positive integer divisors of 725 that divides 725 without a remainder.

1, 5, 25, 29, 145, 725

Greatest Common Divisior

We found the divisors of 149, 924, 91, 725 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 149, 924, 91, 725 is 1.

Therefore, GCD of numbers 149, 924, 91, 725 is 1

Finding GCD of 149, 924, 91, 725 using Prime Factorization

Given Input Data is 149, 924, 91, 725

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

Prime Factorization of 149 is 149

Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11

Prime Factorization of 91 is 7 x 13

Prime Factorization of 725 is 5 x 5 x 29

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

Finding GCD of 149, 924, 91, 725 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, 924) = 137676

GCD(149, 924) = ( 149 x 924 ) / 137676

GCD(149, 924) = 137676 / 137676

GCD(149, 924) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 91

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

LCM(1, 91) = 91

GCD(1, 91) = ( 1 x 91 ) / 91

GCD(1, 91) = 91 / 91

GCD(1, 91) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 725

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

LCM(1, 725) = 725

GCD(1, 725) = ( 1 x 725 ) / 725

GCD(1, 725) = 725 / 725

GCD(1, 725) = 1

GCD of 149, 924, 91, 725 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 149, 924, 91, 725

1. What is the GCD of 149, 924, 91, 725?

GCD of 149, 924, 91, 725 is 1


2. Where do I get the detailed procedure to find GCD of 149, 924, 91, 725?

You can find a detailed procedure to find GCD of 149, 924, 91, 725 on our page.


3. How to find GCD of 149, 924, 91, 725 on a calculator?

You can find the GCD of 149, 924, 91, 725 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.