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, 193, 31, 874 i.e. 1 largest integer that divides all the numbers equally.
GCD of 268, 193, 31, 874 is 1
GCD(268, 193, 31, 874) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 268, 193, 31, 874 is 1
GCD(268, 193, 31, 874) = 1
Given Input numbers are 268, 193, 31, 874
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 193
List of positive integer divisors of 193 that divides 193 without a remainder.
1, 193
Divisors of 31
List of positive integer divisors of 31 that divides 31 without a remainder.
1, 31
Divisors of 874
List of positive integer divisors of 874 that divides 874 without a remainder.
1, 2, 19, 23, 38, 46, 437, 874
Greatest Common Divisior
We found the divisors of 268, 193, 31, 874 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 268, 193, 31, 874 is 1.
Therefore, GCD of numbers 268, 193, 31, 874 is 1
Given Input Data is 268, 193, 31, 874
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 193 is 193
Prime Factorization of 31 is 31
Prime Factorization of 874 is 2 x 19 x 23
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, 193) = 51724
GCD(268, 193) = ( 268 x 193 ) / 51724
GCD(268, 193) = 51724 / 51724
GCD(268, 193) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 31
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 31) = 31
GCD(1, 31) = ( 1 x 31 ) / 31
GCD(1, 31) = 31 / 31
GCD(1, 31) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 874
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 874) = 874
GCD(1, 874) = ( 1 x 874 ) / 874
GCD(1, 874) = 874 / 874
GCD(1, 874) = 1
GCD of 268, 193, 31, 874 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 268, 193, 31, 874?
GCD of 268, 193, 31, 874 is 1
2. Where do I get the detailed procedure to find GCD of 268, 193, 31, 874?
You can find a detailed procedure to find GCD of 268, 193, 31, 874 on our page.
3. How to find GCD of 268, 193, 31, 874 on a calculator?
You can find the GCD of 268, 193, 31, 874 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.