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, 951, 518, 772 i.e. 1 largest integer that divides all the numbers equally.
GCD of 72, 951, 518, 772 is 1
GCD(72, 951, 518, 772) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 72, 951, 518, 772 is 1
GCD(72, 951, 518, 772) = 1
Given Input numbers are 72, 951, 518, 772
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 951
List of positive integer divisors of 951 that divides 951 without a remainder.
1, 3, 317, 951
Divisors of 518
List of positive integer divisors of 518 that divides 518 without a remainder.
1, 2, 7, 14, 37, 74, 259, 518
Divisors of 772
List of positive integer divisors of 772 that divides 772 without a remainder.
1, 2, 4, 193, 386, 772
Greatest Common Divisior
We found the divisors of 72, 951, 518, 772 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 72, 951, 518, 772 is 1.
Therefore, GCD of numbers 72, 951, 518, 772 is 1
Given Input Data is 72, 951, 518, 772
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 951 is 3 x 317
Prime Factorization of 518 is 2 x 7 x 37
Prime Factorization of 772 is 2 x 2 x 193
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, 951) = 22824
GCD(72, 951) = ( 72 x 951 ) / 22824
GCD(72, 951) = 68472 / 22824
GCD(72, 951) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 518
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 518) = 1554
GCD(3, 518) = ( 3 x 518 ) / 1554
GCD(3, 518) = 1554 / 1554
GCD(3, 518) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 772
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 772) = 772
GCD(1, 772) = ( 1 x 772 ) / 772
GCD(1, 772) = 772 / 772
GCD(1, 772) = 1
GCD of 72, 951, 518, 772 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 72, 951, 518, 772?
GCD of 72, 951, 518, 772 is 1
2. Where do I get the detailed procedure to find GCD of 72, 951, 518, 772?
You can find a detailed procedure to find GCD of 72, 951, 518, 772 on our page.
3. How to find GCD of 72, 951, 518, 772 on a calculator?
You can find the GCD of 72, 951, 518, 772 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.