GCD of 50, 743, 152, 949 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 50, 743, 152, 949 i.e. 1 largest integer that divides all the numbers equally.

GCD of 50, 743, 152, 949 is 1

GCD(50, 743, 152, 949) = 1

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

GCD of

GCD of numbers 50, 743, 152, 949 is 1

GCD(50, 743, 152, 949) = 1

GCD of 50,743,152,949 Calculator

GCDof 50,743,152,949 is 1

Given Input numbers are 50, 743, 152, 949

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

Divisors of 50

List of positive integer divisors of 50 that divides 50 without a remainder.

1, 2, 5, 10, 25, 50

Divisors of 743

List of positive integer divisors of 743 that divides 743 without a remainder.

1, 743

Divisors of 152

List of positive integer divisors of 152 that divides 152 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152

Divisors of 949

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

1, 13, 73, 949

Greatest Common Divisior

We found the divisors of 50, 743, 152, 949 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 50, 743, 152, 949 is 1.

Therefore, GCD of numbers 50, 743, 152, 949 is 1

Finding GCD of 50, 743, 152, 949 using Prime Factorization

Given Input Data is 50, 743, 152, 949

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

Prime Factorization of 50 is 2 x 5 x 5

Prime Factorization of 743 is 743

Prime Factorization of 152 is 2 x 2 x 2 x 19

Prime Factorization of 949 is 13 x 73

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

Finding GCD of 50, 743, 152, 949 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(50, 743) = 37150

GCD(50, 743) = ( 50 x 743 ) / 37150

GCD(50, 743) = 37150 / 37150

GCD(50, 743) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 152

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

LCM(1, 152) = 152

GCD(1, 152) = ( 1 x 152 ) / 152

GCD(1, 152) = 152 / 152

GCD(1, 152) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 949

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

LCM(1, 949) = 949

GCD(1, 949) = ( 1 x 949 ) / 949

GCD(1, 949) = 949 / 949

GCD(1, 949) = 1

GCD of 50, 743, 152, 949 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 50, 743, 152, 949

1. What is the GCD of 50, 743, 152, 949?

GCD of 50, 743, 152, 949 is 1


2. Where do I get the detailed procedure to find GCD of 50, 743, 152, 949?

You can find a detailed procedure to find GCD of 50, 743, 152, 949 on our page.


3. How to find GCD of 50, 743, 152, 949 on a calculator?

You can find the GCD of 50, 743, 152, 949 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.