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 297, 971, 595, 617 i.e. 1 largest integer that divides all the numbers equally.
GCD of 297, 971, 595, 617 is 1
GCD(297, 971, 595, 617) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 297, 971, 595, 617 is 1
GCD(297, 971, 595, 617) = 1
Given Input numbers are 297, 971, 595, 617
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 297
List of positive integer divisors of 297 that divides 297 without a remainder.
1, 3, 9, 11, 27, 33, 99, 297
Divisors of 971
List of positive integer divisors of 971 that divides 971 without a remainder.
1, 971
Divisors of 595
List of positive integer divisors of 595 that divides 595 without a remainder.
1, 5, 7, 17, 35, 85, 119, 595
Divisors of 617
List of positive integer divisors of 617 that divides 617 without a remainder.
1, 617
Greatest Common Divisior
We found the divisors of 297, 971, 595, 617 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 297, 971, 595, 617 is 1.
Therefore, GCD of numbers 297, 971, 595, 617 is 1
Given Input Data is 297, 971, 595, 617
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 297 is 3 x 3 x 3 x 11
Prime Factorization of 971 is 971
Prime Factorization of 595 is 5 x 7 x 17
Prime Factorization of 617 is 617
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(297, 971) = 288387
GCD(297, 971) = ( 297 x 971 ) / 288387
GCD(297, 971) = 288387 / 288387
GCD(297, 971) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 595
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 595) = 595
GCD(1, 595) = ( 1 x 595 ) / 595
GCD(1, 595) = 595 / 595
GCD(1, 595) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 617
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 617) = 617
GCD(1, 617) = ( 1 x 617 ) / 617
GCD(1, 617) = 617 / 617
GCD(1, 617) = 1
GCD of 297, 971, 595, 617 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 297, 971, 595, 617?
GCD of 297, 971, 595, 617 is 1
2. Where do I get the detailed procedure to find GCD of 297, 971, 595, 617?
You can find a detailed procedure to find GCD of 297, 971, 595, 617 on our page.
3. How to find GCD of 297, 971, 595, 617 on a calculator?
You can find the GCD of 297, 971, 595, 617 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.