GCD of 363, 949, 124, 153 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 363, 949, 124, 153 i.e. 1 largest integer that divides all the numbers equally.

GCD of 363, 949, 124, 153 is 1

GCD(363, 949, 124, 153) = 1

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

GCD of

GCD of numbers 363, 949, 124, 153 is 1

GCD(363, 949, 124, 153) = 1

GCD of 363,949,124,153 Calculator

GCDof 363,949,124,153 is 1

Given Input numbers are 363, 949, 124, 153

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

Divisors of 363

List of positive integer divisors of 363 that divides 363 without a remainder.

1, 3, 11, 33, 121, 363

Divisors of 949

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

1, 13, 73, 949

Divisors of 124

List of positive integer divisors of 124 that divides 124 without a remainder.

1, 2, 4, 31, 62, 124

Divisors of 153

List of positive integer divisors of 153 that divides 153 without a remainder.

1, 3, 9, 17, 51, 153

Greatest Common Divisior

We found the divisors of 363, 949, 124, 153 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 363, 949, 124, 153 is 1.

Therefore, GCD of numbers 363, 949, 124, 153 is 1

Finding GCD of 363, 949, 124, 153 using Prime Factorization

Given Input Data is 363, 949, 124, 153

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

Prime Factorization of 363 is 3 x 11 x 11

Prime Factorization of 949 is 13 x 73

Prime Factorization of 124 is 2 x 2 x 31

Prime Factorization of 153 is 3 x 3 x 17

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

Finding GCD of 363, 949, 124, 153 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(363, 949) = 344487

GCD(363, 949) = ( 363 x 949 ) / 344487

GCD(363, 949) = 344487 / 344487

GCD(363, 949) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 124

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

LCM(1, 124) = 124

GCD(1, 124) = ( 1 x 124 ) / 124

GCD(1, 124) = 124 / 124

GCD(1, 124) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 153

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

LCM(1, 153) = 153

GCD(1, 153) = ( 1 x 153 ) / 153

GCD(1, 153) = 153 / 153

GCD(1, 153) = 1

GCD of 363, 949, 124, 153 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 363, 949, 124, 153

1. What is the GCD of 363, 949, 124, 153?

GCD of 363, 949, 124, 153 is 1


2. Where do I get the detailed procedure to find GCD of 363, 949, 124, 153?

You can find a detailed procedure to find GCD of 363, 949, 124, 153 on our page.


3. How to find GCD of 363, 949, 124, 153 on a calculator?

You can find the GCD of 363, 949, 124, 153 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.