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 numbers 47, 208, 950, 132 is 1
GCD(47, 208, 950, 132) = 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
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
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
Here are some samples of GCD of Numbers calculations.
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.