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, 791, 63, 218 i.e. 1 largest integer that divides all the numbers equally.
GCD of 268, 791, 63, 218 is 1
GCD(268, 791, 63, 218) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 268, 791, 63, 218 is 1
GCD(268, 791, 63, 218) = 1
Given Input numbers are 268, 791, 63, 218
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 791
List of positive integer divisors of 791 that divides 791 without a remainder.
1, 7, 113, 791
Divisors of 63
List of positive integer divisors of 63 that divides 63 without a remainder.
1, 3, 7, 9, 21, 63
Divisors of 218
List of positive integer divisors of 218 that divides 218 without a remainder.
1, 2, 109, 218
Greatest Common Divisior
We found the divisors of 268, 791, 63, 218 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 268, 791, 63, 218 is 1.
Therefore, GCD of numbers 268, 791, 63, 218 is 1
Given Input Data is 268, 791, 63, 218
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 791 is 7 x 113
Prime Factorization of 63 is 3 x 3 x 7
Prime Factorization of 218 is 2 x 109
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, 791) = 211988
GCD(268, 791) = ( 268 x 791 ) / 211988
GCD(268, 791) = 211988 / 211988
GCD(268, 791) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 63
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 63) = 63
GCD(1, 63) = ( 1 x 63 ) / 63
GCD(1, 63) = 63 / 63
GCD(1, 63) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 218
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 218) = 218
GCD(1, 218) = ( 1 x 218 ) / 218
GCD(1, 218) = 218 / 218
GCD(1, 218) = 1
GCD of 268, 791, 63, 218 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 268, 791, 63, 218?
GCD of 268, 791, 63, 218 is 1
2. Where do I get the detailed procedure to find GCD of 268, 791, 63, 218?
You can find a detailed procedure to find GCD of 268, 791, 63, 218 on our page.
3. How to find GCD of 268, 791, 63, 218 on a calculator?
You can find the GCD of 268, 791, 63, 218 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.