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 72, 212, 883, 656 i.e. 1 largest integer that divides all the numbers equally.
GCD of 72, 212, 883, 656 is 1
GCD(72, 212, 883, 656) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 72, 212, 883, 656 is 1
GCD(72, 212, 883, 656) = 1
Given Input numbers are 72, 212, 883, 656
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 72
List of positive integer divisors of 72 that divides 72 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
Divisors of 212
List of positive integer divisors of 212 that divides 212 without a remainder.
1, 2, 4, 53, 106, 212
Divisors of 883
List of positive integer divisors of 883 that divides 883 without a remainder.
1, 883
Divisors of 656
List of positive integer divisors of 656 that divides 656 without a remainder.
1, 2, 4, 8, 16, 41, 82, 164, 328, 656
Greatest Common Divisior
We found the divisors of 72, 212, 883, 656 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 72, 212, 883, 656 is 1.
Therefore, GCD of numbers 72, 212, 883, 656 is 1
Given Input Data is 72, 212, 883, 656
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3
Prime Factorization of 212 is 2 x 2 x 53
Prime Factorization of 883 is 883
Prime Factorization of 656 is 2 x 2 x 2 x 2 x 41
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(72, 212) = 3816
GCD(72, 212) = ( 72 x 212 ) / 3816
GCD(72, 212) = 15264 / 3816
GCD(72, 212) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 883
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 883) = 3532
GCD(4, 883) = ( 4 x 883 ) / 3532
GCD(4, 883) = 3532 / 3532
GCD(4, 883) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 656
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 656) = 656
GCD(1, 656) = ( 1 x 656 ) / 656
GCD(1, 656) = 656 / 656
GCD(1, 656) = 1
GCD of 72, 212, 883, 656 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 72, 212, 883, 656?
GCD of 72, 212, 883, 656 is 1
2. Where do I get the detailed procedure to find GCD of 72, 212, 883, 656?
You can find a detailed procedure to find GCD of 72, 212, 883, 656 on our page.
3. How to find GCD of 72, 212, 883, 656 on a calculator?
You can find the GCD of 72, 212, 883, 656 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.