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 340, 369, 397 i.e. 1 largest integer that divides all the numbers equally.
GCD of 340, 369, 397 is 1
GCD(340, 369, 397) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 340, 369, 397 is 1
GCD(340, 369, 397) = 1
Given Input numbers are 340, 369, 397
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 340
List of positive integer divisors of 340 that divides 340 without a remainder.
1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
Divisors of 369
List of positive integer divisors of 369 that divides 369 without a remainder.
1, 3, 9, 41, 123, 369
Divisors of 397
List of positive integer divisors of 397 that divides 397 without a remainder.
1, 397
Greatest Common Divisior
We found the divisors of 340, 369, 397 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 340, 369, 397 is 1.
Therefore, GCD of numbers 340, 369, 397 is 1
Given Input Data is 340, 369, 397
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 340 is 2 x 2 x 5 x 17
Prime Factorization of 369 is 3 x 3 x 41
Prime Factorization of 397 is 397
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(340, 369) = 125460
GCD(340, 369) = ( 340 x 369 ) / 125460
GCD(340, 369) = 125460 / 125460
GCD(340, 369) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 397
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 397) = 397
GCD(1, 397) = ( 1 x 397 ) / 397
GCD(1, 397) = 397 / 397
GCD(1, 397) = 1
GCD of 340, 369, 397 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 340, 369, 397?
GCD of 340, 369, 397 is 1
2. Where do I get the detailed procedure to find GCD of 340, 369, 397?
You can find a detailed procedure to find GCD of 340, 369, 397 on our page.
3. How to find GCD of 340, 369, 397 on a calculator?
You can find the GCD of 340, 369, 397 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.