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 772, 860, 225, 568 i.e. 1 largest integer that divides all the numbers equally.
GCD of 772, 860, 225, 568 is 1
GCD(772, 860, 225, 568) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 772, 860, 225, 568 is 1
GCD(772, 860, 225, 568) = 1
Given Input numbers are 772, 860, 225, 568
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 772
List of positive integer divisors of 772 that divides 772 without a remainder.
1, 2, 4, 193, 386, 772
Divisors of 860
List of positive integer divisors of 860 that divides 860 without a remainder.
1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
Divisors of 225
List of positive integer divisors of 225 that divides 225 without a remainder.
1, 3, 5, 9, 15, 25, 45, 75, 225
Divisors of 568
List of positive integer divisors of 568 that divides 568 without a remainder.
1, 2, 4, 8, 71, 142, 284, 568
Greatest Common Divisior
We found the divisors of 772, 860, 225, 568 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 772, 860, 225, 568 is 1.
Therefore, GCD of numbers 772, 860, 225, 568 is 1
Given Input Data is 772, 860, 225, 568
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 772 is 2 x 2 x 193
Prime Factorization of 860 is 2 x 2 x 5 x 43
Prime Factorization of 225 is 3 x 3 x 5 x 5
Prime Factorization of 568 is 2 x 2 x 2 x 71
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(772, 860) = 165980
GCD(772, 860) = ( 772 x 860 ) / 165980
GCD(772, 860) = 663920 / 165980
GCD(772, 860) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 225
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 225) = 900
GCD(4, 225) = ( 4 x 225 ) / 900
GCD(4, 225) = 900 / 900
GCD(4, 225) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 568
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 568) = 568
GCD(1, 568) = ( 1 x 568 ) / 568
GCD(1, 568) = 568 / 568
GCD(1, 568) = 1
GCD of 772, 860, 225, 568 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 772, 860, 225, 568?
GCD of 772, 860, 225, 568 is 1
2. Where do I get the detailed procedure to find GCD of 772, 860, 225, 568?
You can find a detailed procedure to find GCD of 772, 860, 225, 568 on our page.
3. How to find GCD of 772, 860, 225, 568 on a calculator?
You can find the GCD of 772, 860, 225, 568 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.