GCD of 47, 121, 661, 116 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 47, 121, 661, 116 i.e. 1 largest integer that divides all the numbers equally.

GCD of 47, 121, 661, 116 is 1

GCD(47, 121, 661, 116) = 1

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

GCD of

GCD of numbers 47, 121, 661, 116 is 1

GCD(47, 121, 661, 116) = 1

GCD of 47,121,661,116 Calculator

GCDof 47,121,661,116 is 1

Given Input numbers are 47, 121, 661, 116

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

Divisors of 47

List of positive integer divisors of 47 that divides 47 without a remainder.

1, 47

Divisors of 121

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

1, 11, 121

Divisors of 661

List of positive integer divisors of 661 that divides 661 without a remainder.

1, 661

Divisors of 116

List of positive integer divisors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

Greatest Common Divisior

We found the divisors of 47, 121, 661, 116 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 47, 121, 661, 116 is 1.

Therefore, GCD of numbers 47, 121, 661, 116 is 1

Finding GCD of 47, 121, 661, 116 using Prime Factorization

Given Input Data is 47, 121, 661, 116

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

Prime Factorization of 47 is 47

Prime Factorization of 121 is 11 x 11

Prime Factorization of 661 is 661

Prime Factorization of 116 is 2 x 2 x 29

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

Finding GCD of 47, 121, 661, 116 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(47, 121) = 5687

GCD(47, 121) = ( 47 x 121 ) / 5687

GCD(47, 121) = 5687 / 5687

GCD(47, 121) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 661

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

LCM(1, 661) = 661

GCD(1, 661) = ( 1 x 661 ) / 661

GCD(1, 661) = 661 / 661

GCD(1, 661) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 116

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

LCM(1, 116) = 116

GCD(1, 116) = ( 1 x 116 ) / 116

GCD(1, 116) = 116 / 116

GCD(1, 116) = 1

GCD of 47, 121, 661, 116 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 47, 121, 661, 116

1. What is the GCD of 47, 121, 661, 116?

GCD of 47, 121, 661, 116 is 1


2. Where do I get the detailed procedure to find GCD of 47, 121, 661, 116?

You can find a detailed procedure to find GCD of 47, 121, 661, 116 on our page.


3. How to find GCD of 47, 121, 661, 116 on a calculator?

You can find the GCD of 47, 121, 661, 116 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.