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, 813, 734, 152 i.e. 1 largest integer that divides all the numbers equally.
GCD of 272, 813, 734, 152 is 1
GCD(272, 813, 734, 152) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 272, 813, 734, 152 is 1
GCD(272, 813, 734, 152) = 1
Given Input numbers are 272, 813, 734, 152
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 813
List of positive integer divisors of 813 that divides 813 without a remainder.
1, 3, 271, 813
Divisors of 734
List of positive integer divisors of 734 that divides 734 without a remainder.
1, 2, 367, 734
Divisors of 152
List of positive integer divisors of 152 that divides 152 without a remainder.
1, 2, 4, 8, 19, 38, 76, 152
Greatest Common Divisior
We found the divisors of 272, 813, 734, 152 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 272, 813, 734, 152 is 1.
Therefore, GCD of numbers 272, 813, 734, 152 is 1
Given Input Data is 272, 813, 734, 152
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 813 is 3 x 271
Prime Factorization of 734 is 2 x 367
Prime Factorization of 152 is 2 x 2 x 2 x 19
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, 813) = 221136
GCD(272, 813) = ( 272 x 813 ) / 221136
GCD(272, 813) = 221136 / 221136
GCD(272, 813) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 734
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 734) = 734
GCD(1, 734) = ( 1 x 734 ) / 734
GCD(1, 734) = 734 / 734
GCD(1, 734) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 152
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 152) = 152
GCD(1, 152) = ( 1 x 152 ) / 152
GCD(1, 152) = 152 / 152
GCD(1, 152) = 1
GCD of 272, 813, 734, 152 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 272, 813, 734, 152?
GCD of 272, 813, 734, 152 is 1
2. Where do I get the detailed procedure to find GCD of 272, 813, 734, 152?
You can find a detailed procedure to find GCD of 272, 813, 734, 152 on our page.
3. How to find GCD of 272, 813, 734, 152 on a calculator?
You can find the GCD of 272, 813, 734, 152 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.