GCD of 949, 391, 24, 460 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 949, 391, 24, 460 i.e. 1 largest integer that divides all the numbers equally.

GCD of 949, 391, 24, 460 is 1

GCD(949, 391, 24, 460) = 1

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

GCD of

GCD of numbers 949, 391, 24, 460 is 1

GCD(949, 391, 24, 460) = 1

GCD of 949,391,24,460 Calculator

GCDof 949,391,24,460 is 1

Given Input numbers are 949, 391, 24, 460

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

Divisors of 949

List of positive integer divisors of 949 that divides 949 without a remainder.

1, 13, 73, 949

Divisors of 391

List of positive integer divisors of 391 that divides 391 without a remainder.

1, 17, 23, 391

Divisors of 24

List of positive integer divisors of 24 that divides 24 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24

Divisors of 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Greatest Common Divisior

We found the divisors of 949, 391, 24, 460 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 949, 391, 24, 460 is 1.

Therefore, GCD of numbers 949, 391, 24, 460 is 1

Finding GCD of 949, 391, 24, 460 using Prime Factorization

Given Input Data is 949, 391, 24, 460

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

Prime Factorization of 949 is 13 x 73

Prime Factorization of 391 is 17 x 23

Prime Factorization of 24 is 2 x 2 x 2 x 3

Prime Factorization of 460 is 2 x 2 x 5 x 23

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

Finding GCD of 949, 391, 24, 460 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(949, 391) = 371059

GCD(949, 391) = ( 949 x 391 ) / 371059

GCD(949, 391) = 371059 / 371059

GCD(949, 391) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 24

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

LCM(1, 24) = 24

GCD(1, 24) = ( 1 x 24 ) / 24

GCD(1, 24) = 24 / 24

GCD(1, 24) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 460

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

LCM(1, 460) = 460

GCD(1, 460) = ( 1 x 460 ) / 460

GCD(1, 460) = 460 / 460

GCD(1, 460) = 1

GCD of 949, 391, 24, 460 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 949, 391, 24, 460

1. What is the GCD of 949, 391, 24, 460?

GCD of 949, 391, 24, 460 is 1


2. Where do I get the detailed procedure to find GCD of 949, 391, 24, 460?

You can find a detailed procedure to find GCD of 949, 391, 24, 460 on our page.


3. How to find GCD of 949, 391, 24, 460 on a calculator?

You can find the GCD of 949, 391, 24, 460 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.