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 596, 398, 272, 315 i.e. 1 largest integer that divides all the numbers equally.
GCD of 596, 398, 272, 315 is 1
GCD(596, 398, 272, 315) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 596, 398, 272, 315 is 1
GCD(596, 398, 272, 315) = 1
Given Input numbers are 596, 398, 272, 315
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 596
List of positive integer divisors of 596 that divides 596 without a remainder.
1, 2, 4, 149, 298, 596
Divisors of 398
List of positive integer divisors of 398 that divides 398 without a remainder.
1, 2, 199, 398
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 315
List of positive integer divisors of 315 that divides 315 without a remainder.
1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
Greatest Common Divisior
We found the divisors of 596, 398, 272, 315 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 596, 398, 272, 315 is 1.
Therefore, GCD of numbers 596, 398, 272, 315 is 1
Given Input Data is 596, 398, 272, 315
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 596 is 2 x 2 x 149
Prime Factorization of 398 is 2 x 199
Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17
Prime Factorization of 315 is 3 x 3 x 5 x 7
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(596, 398) = 118604
GCD(596, 398) = ( 596 x 398 ) / 118604
GCD(596, 398) = 237208 / 118604
GCD(596, 398) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 272
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 272) = 272
GCD(2, 272) = ( 2 x 272 ) / 272
GCD(2, 272) = 544 / 272
GCD(2, 272) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 315
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 315) = 630
GCD(2, 315) = ( 2 x 315 ) / 630
GCD(2, 315) = 630 / 630
GCD(2, 315) = 1
GCD of 596, 398, 272, 315 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 596, 398, 272, 315?
GCD of 596, 398, 272, 315 is 1
2. Where do I get the detailed procedure to find GCD of 596, 398, 272, 315?
You can find a detailed procedure to find GCD of 596, 398, 272, 315 on our page.
3. How to find GCD of 596, 398, 272, 315 on a calculator?
You can find the GCD of 596, 398, 272, 315 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.