GCD of 47, 208, 950, 132 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, 208, 950, 132 i.e. 1 largest integer that divides all the numbers equally.

GCD of 47, 208, 950, 132 is 1

GCD(47, 208, 950, 132) = 1

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

GCD of

GCD of numbers 47, 208, 950, 132 is 1

GCD(47, 208, 950, 132) = 1

GCD of 47,208,950,132 Calculator

GCDof 47,208,950,132 is 1

Given Input numbers are 47, 208, 950, 132

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 208

List of positive integer divisors of 208 that divides 208 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 950

List of positive integer divisors of 950 that divides 950 without a remainder.

1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950

Divisors of 132

List of positive integer divisors of 132 that divides 132 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Greatest Common Divisior

We found the divisors of 47, 208, 950, 132 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 47, 208, 950, 132 is 1.

Therefore, GCD of numbers 47, 208, 950, 132 is 1

Finding GCD of 47, 208, 950, 132 using Prime Factorization

Given Input Data is 47, 208, 950, 132

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

Prime Factorization of 47 is 47

Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13

Prime Factorization of 950 is 2 x 5 x 5 x 19

Prime Factorization of 132 is 2 x 2 x 3 x 11

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

Finding GCD of 47, 208, 950, 132 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, 208) = 9776

GCD(47, 208) = ( 47 x 208 ) / 9776

GCD(47, 208) = 9776 / 9776

GCD(47, 208) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 950

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

LCM(1, 950) = 950

GCD(1, 950) = ( 1 x 950 ) / 950

GCD(1, 950) = 950 / 950

GCD(1, 950) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 132

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

LCM(1, 132) = 132

GCD(1, 132) = ( 1 x 132 ) / 132

GCD(1, 132) = 132 / 132

GCD(1, 132) = 1

GCD of 47, 208, 950, 132 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 47, 208, 950, 132

1. What is the GCD of 47, 208, 950, 132?

GCD of 47, 208, 950, 132 is 1


2. Where do I get the detailed procedure to find GCD of 47, 208, 950, 132?

You can find a detailed procedure to find GCD of 47, 208, 950, 132 on our page.


3. How to find GCD of 47, 208, 950, 132 on a calculator?

You can find the GCD of 47, 208, 950, 132 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.