GCD of 736, 508, 48, 121 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 736, 508, 48, 121 i.e. 1 largest integer that divides all the numbers equally.

GCD of 736, 508, 48, 121 is 1

GCD(736, 508, 48, 121) = 1

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

GCD of

GCD of numbers 736, 508, 48, 121 is 1

GCD(736, 508, 48, 121) = 1

GCD of 736,508,48,121 Calculator

GCDof 736,508,48,121 is 1

Given Input numbers are 736, 508, 48, 121

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

Divisors of 736

List of positive integer divisors of 736 that divides 736 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Divisors of 508

List of positive integer divisors of 508 that divides 508 without a remainder.

1, 2, 4, 127, 254, 508

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 121

List of positive integer divisors of 121 that divides 121 without a remainder.

1, 11, 121

Greatest Common Divisior

We found the divisors of 736, 508, 48, 121 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 736, 508, 48, 121 is 1.

Therefore, GCD of numbers 736, 508, 48, 121 is 1

Finding GCD of 736, 508, 48, 121 using Prime Factorization

Given Input Data is 736, 508, 48, 121

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

Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23

Prime Factorization of 508 is 2 x 2 x 127

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Prime Factorization of 121 is 11 x 11

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

Finding GCD of 736, 508, 48, 121 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(736, 508) = 93472

GCD(736, 508) = ( 736 x 508 ) / 93472

GCD(736, 508) = 373888 / 93472

GCD(736, 508) = 4


Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 48

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

LCM(4, 48) = 48

GCD(4, 48) = ( 4 x 48 ) / 48

GCD(4, 48) = 192 / 48

GCD(4, 48) = 4


Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 121

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

LCM(4, 121) = 484

GCD(4, 121) = ( 4 x 121 ) / 484

GCD(4, 121) = 484 / 484

GCD(4, 121) = 1

GCD of 736, 508, 48, 121 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 736, 508, 48, 121

1. What is the GCD of 736, 508, 48, 121?

GCD of 736, 508, 48, 121 is 1


2. Where do I get the detailed procedure to find GCD of 736, 508, 48, 121?

You can find a detailed procedure to find GCD of 736, 508, 48, 121 on our page.


3. How to find GCD of 736, 508, 48, 121 on a calculator?

You can find the GCD of 736, 508, 48, 121 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.