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 971, 917, 19 i.e. 1 largest integer that divides all the numbers equally.
GCD of 971, 917, 19 is 1
GCD(971, 917, 19) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 971, 917, 19 is 1
GCD(971, 917, 19) = 1
Given Input numbers are 971, 917, 19
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 971
List of positive integer divisors of 971 that divides 971 without a remainder.
1, 971
Divisors of 917
List of positive integer divisors of 917 that divides 917 without a remainder.
1, 7, 131, 917
Divisors of 19
List of positive integer divisors of 19 that divides 19 without a remainder.
1, 19
Greatest Common Divisior
We found the divisors of 971, 917, 19 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 971, 917, 19 is 1.
Therefore, GCD of numbers 971, 917, 19 is 1
Given Input Data is 971, 917, 19
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 971 is 971
Prime Factorization of 917 is 7 x 131
Prime Factorization of 19 is 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(971, 917) = 890407
GCD(971, 917) = ( 971 x 917 ) / 890407
GCD(971, 917) = 890407 / 890407
GCD(971, 917) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 19
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 19) = 19
GCD(1, 19) = ( 1 x 19 ) / 19
GCD(1, 19) = 19 / 19
GCD(1, 19) = 1
GCD of 971, 917, 19 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 971, 917, 19?
GCD of 971, 917, 19 is 1
2. Where do I get the detailed procedure to find GCD of 971, 917, 19?
You can find a detailed procedure to find GCD of 971, 917, 19 on our page.
3. How to find GCD of 971, 917, 19 on a calculator?
You can find the GCD of 971, 917, 19 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.