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 268, 613, 764, 991 i.e. 1 largest integer that divides all the numbers equally.
GCD of 268, 613, 764, 991 is 1
GCD(268, 613, 764, 991) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 268, 613, 764, 991 is 1
GCD(268, 613, 764, 991) = 1
Given Input numbers are 268, 613, 764, 991
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 268
List of positive integer divisors of 268 that divides 268 without a remainder.
1, 2, 4, 67, 134, 268
Divisors of 613
List of positive integer divisors of 613 that divides 613 without a remainder.
1, 613
Divisors of 764
List of positive integer divisors of 764 that divides 764 without a remainder.
1, 2, 4, 191, 382, 764
Divisors of 991
List of positive integer divisors of 991 that divides 991 without a remainder.
1, 991
Greatest Common Divisior
We found the divisors of 268, 613, 764, 991 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 268, 613, 764, 991 is 1.
Therefore, GCD of numbers 268, 613, 764, 991 is 1
Given Input Data is 268, 613, 764, 991
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 268 is 2 x 2 x 67
Prime Factorization of 613 is 613
Prime Factorization of 764 is 2 x 2 x 191
Prime Factorization of 991 is 991
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(268, 613) = 164284
GCD(268, 613) = ( 268 x 613 ) / 164284
GCD(268, 613) = 164284 / 164284
GCD(268, 613) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 764
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 764) = 764
GCD(1, 764) = ( 1 x 764 ) / 764
GCD(1, 764) = 764 / 764
GCD(1, 764) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 991
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 991) = 991
GCD(1, 991) = ( 1 x 991 ) / 991
GCD(1, 991) = 991 / 991
GCD(1, 991) = 1
GCD of 268, 613, 764, 991 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 268, 613, 764, 991?
GCD of 268, 613, 764, 991 is 1
2. Where do I get the detailed procedure to find GCD of 268, 613, 764, 991?
You can find a detailed procedure to find GCD of 268, 613, 764, 991 on our page.
3. How to find GCD of 268, 613, 764, 991 on a calculator?
You can find the GCD of 268, 613, 764, 991 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.