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, 311, 268, 535 i.e. 1 largest integer that divides all the numbers equally.
GCD of 772, 311, 268, 535 is 1
GCD(772, 311, 268, 535) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 772, 311, 268, 535 is 1
GCD(772, 311, 268, 535) = 1
Given Input numbers are 772, 311, 268, 535
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 311
List of positive integer divisors of 311 that divides 311 without a remainder.
1, 311
Divisors of 268
List of positive integer divisors of 268 that divides 268 without a remainder.
1, 2, 4, 67, 134, 268
Divisors of 535
List of positive integer divisors of 535 that divides 535 without a remainder.
1, 5, 107, 535
Greatest Common Divisior
We found the divisors of 772, 311, 268, 535 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 772, 311, 268, 535 is 1.
Therefore, GCD of numbers 772, 311, 268, 535 is 1
Given Input Data is 772, 311, 268, 535
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 311 is 311
Prime Factorization of 268 is 2 x 2 x 67
Prime Factorization of 535 is 5 x 107
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, 311) = 240092
GCD(772, 311) = ( 772 x 311 ) / 240092
GCD(772, 311) = 240092 / 240092
GCD(772, 311) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 268
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 268) = 268
GCD(1, 268) = ( 1 x 268 ) / 268
GCD(1, 268) = 268 / 268
GCD(1, 268) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 535
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 535) = 535
GCD(1, 535) = ( 1 x 535 ) / 535
GCD(1, 535) = 535 / 535
GCD(1, 535) = 1
GCD of 772, 311, 268, 535 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 772, 311, 268, 535?
GCD of 772, 311, 268, 535 is 1
2. Where do I get the detailed procedure to find GCD of 772, 311, 268, 535?
You can find a detailed procedure to find GCD of 772, 311, 268, 535 on our page.
3. How to find GCD of 772, 311, 268, 535 on a calculator?
You can find the GCD of 772, 311, 268, 535 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.