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 917, 340, 53 i.e. 1 largest integer that divides all the numbers equally.
GCD of 917, 340, 53 is 1
GCD(917, 340, 53) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 917, 340, 53 is 1
GCD(917, 340, 53) = 1
Given Input numbers are 917, 340, 53
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 917
List of positive integer divisors of 917 that divides 917 without a remainder.
1, 7, 131, 917
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 53
List of positive integer divisors of 53 that divides 53 without a remainder.
1, 53
Greatest Common Divisior
We found the divisors of 917, 340, 53 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 917, 340, 53 is 1.
Therefore, GCD of numbers 917, 340, 53 is 1
Given Input Data is 917, 340, 53
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 917 is 7 x 131
Prime Factorization of 340 is 2 x 2 x 5 x 17
Prime Factorization of 53 is 53
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(917, 340) = 311780
GCD(917, 340) = ( 917 x 340 ) / 311780
GCD(917, 340) = 311780 / 311780
GCD(917, 340) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 53
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 53) = 53
GCD(1, 53) = ( 1 x 53 ) / 53
GCD(1, 53) = 53 / 53
GCD(1, 53) = 1
GCD of 917, 340, 53 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 917, 340, 53?
GCD of 917, 340, 53 is 1
2. Where do I get the detailed procedure to find GCD of 917, 340, 53?
You can find a detailed procedure to find GCD of 917, 340, 53 on our page.
3. How to find GCD of 917, 340, 53 on a calculator?
You can find the GCD of 917, 340, 53 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.