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 272, 268, 223, 137 i.e. 1 largest integer that divides all the numbers equally.
GCD of 272, 268, 223, 137 is 1
GCD(272, 268, 223, 137) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 272, 268, 223, 137 is 1
GCD(272, 268, 223, 137) = 1
Given Input numbers are 272, 268, 223, 137
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 272
List of positive integer divisors of 272 that divides 272 without a remainder.
1, 2, 4, 8, 16, 17, 34, 68, 136, 272
Divisors of 268
List of positive integer divisors of 268 that divides 268 without a remainder.
1, 2, 4, 67, 134, 268
Divisors of 223
List of positive integer divisors of 223 that divides 223 without a remainder.
1, 223
Divisors of 137
List of positive integer divisors of 137 that divides 137 without a remainder.
1, 137
Greatest Common Divisior
We found the divisors of 272, 268, 223, 137 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 272, 268, 223, 137 is 1.
Therefore, GCD of numbers 272, 268, 223, 137 is 1
Given Input Data is 272, 268, 223, 137
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17
Prime Factorization of 268 is 2 x 2 x 67
Prime Factorization of 223 is 223
Prime Factorization of 137 is 137
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(272, 268) = 18224
GCD(272, 268) = ( 272 x 268 ) / 18224
GCD(272, 268) = 72896 / 18224
GCD(272, 268) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 223
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 223) = 892
GCD(4, 223) = ( 4 x 223 ) / 892
GCD(4, 223) = 892 / 892
GCD(4, 223) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 137
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 137) = 137
GCD(1, 137) = ( 1 x 137 ) / 137
GCD(1, 137) = 137 / 137
GCD(1, 137) = 1
GCD of 272, 268, 223, 137 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 272, 268, 223, 137?
GCD of 272, 268, 223, 137 is 1
2. Where do I get the detailed procedure to find GCD of 272, 268, 223, 137?
You can find a detailed procedure to find GCD of 272, 268, 223, 137 on our page.
3. How to find GCD of 272, 268, 223, 137 on a calculator?
You can find the GCD of 272, 268, 223, 137 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.