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, 735, 22, 335 i.e. 1 largest integer that divides all the numbers equally.
GCD of 268, 735, 22, 335 is 1
GCD(268, 735, 22, 335) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 268, 735, 22, 335 is 1
GCD(268, 735, 22, 335) = 1
Given Input numbers are 268, 735, 22, 335
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 735
List of positive integer divisors of 735 that divides 735 without a remainder.
1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
Divisors of 22
List of positive integer divisors of 22 that divides 22 without a remainder.
1, 2, 11, 22
Divisors of 335
List of positive integer divisors of 335 that divides 335 without a remainder.
1, 5, 67, 335
Greatest Common Divisior
We found the divisors of 268, 735, 22, 335 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 268, 735, 22, 335 is 1.
Therefore, GCD of numbers 268, 735, 22, 335 is 1
Given Input Data is 268, 735, 22, 335
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 735 is 3 x 5 x 7 x 7
Prime Factorization of 22 is 2 x 11
Prime Factorization of 335 is 5 x 67
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, 735) = 196980
GCD(268, 735) = ( 268 x 735 ) / 196980
GCD(268, 735) = 196980 / 196980
GCD(268, 735) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 22
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 22) = 22
GCD(1, 22) = ( 1 x 22 ) / 22
GCD(1, 22) = 22 / 22
GCD(1, 22) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 335
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 335) = 335
GCD(1, 335) = ( 1 x 335 ) / 335
GCD(1, 335) = 335 / 335
GCD(1, 335) = 1
GCD of 268, 735, 22, 335 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 268, 735, 22, 335?
GCD of 268, 735, 22, 335 is 1
2. Where do I get the detailed procedure to find GCD of 268, 735, 22, 335?
You can find a detailed procedure to find GCD of 268, 735, 22, 335 on our page.
3. How to find GCD of 268, 735, 22, 335 on a calculator?
You can find the GCD of 268, 735, 22, 335 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.