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 397, 135, 88 i.e. 1 largest integer that divides all the numbers equally.
GCD of 397, 135, 88 is 1
GCD(397, 135, 88) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 397, 135, 88 is 1
GCD(397, 135, 88) = 1
Given Input numbers are 397, 135, 88
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 397
List of positive integer divisors of 397 that divides 397 without a remainder.
1, 397
Divisors of 135
List of positive integer divisors of 135 that divides 135 without a remainder.
1, 3, 5, 9, 15, 27, 45, 135
Divisors of 88
List of positive integer divisors of 88 that divides 88 without a remainder.
1, 2, 4, 8, 11, 22, 44, 88
Greatest Common Divisior
We found the divisors of 397, 135, 88 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 397, 135, 88 is 1.
Therefore, GCD of numbers 397, 135, 88 is 1
Given Input Data is 397, 135, 88
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 397 is 397
Prime Factorization of 135 is 3 x 3 x 3 x 5
Prime Factorization of 88 is 2 x 2 x 2 x 11
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(397, 135) = 53595
GCD(397, 135) = ( 397 x 135 ) / 53595
GCD(397, 135) = 53595 / 53595
GCD(397, 135) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 88
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 88) = 88
GCD(1, 88) = ( 1 x 88 ) / 88
GCD(1, 88) = 88 / 88
GCD(1, 88) = 1
GCD of 397, 135, 88 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 397, 135, 88?
GCD of 397, 135, 88 is 1
2. Where do I get the detailed procedure to find GCD of 397, 135, 88?
You can find a detailed procedure to find GCD of 397, 135, 88 on our page.
3. How to find GCD of 397, 135, 88 on a calculator?
You can find the GCD of 397, 135, 88 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.