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, 697, 400, 373 i.e. 1 largest integer that divides all the numbers equally.
GCD of 917, 697, 400, 373 is 1
GCD(917, 697, 400, 373) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 917, 697, 400, 373 is 1
GCD(917, 697, 400, 373) = 1
Given Input numbers are 917, 697, 400, 373
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 697
List of positive integer divisors of 697 that divides 697 without a remainder.
1, 17, 41, 697
Divisors of 400
List of positive integer divisors of 400 that divides 400 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
Divisors of 373
List of positive integer divisors of 373 that divides 373 without a remainder.
1, 373
Greatest Common Divisior
We found the divisors of 917, 697, 400, 373 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 917, 697, 400, 373 is 1.
Therefore, GCD of numbers 917, 697, 400, 373 is 1
Given Input Data is 917, 697, 400, 373
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 917 is 7 x 131
Prime Factorization of 697 is 17 x 41
Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5
Prime Factorization of 373 is 373
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, 697) = 639149
GCD(917, 697) = ( 917 x 697 ) / 639149
GCD(917, 697) = 639149 / 639149
GCD(917, 697) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 400
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 400) = 400
GCD(1, 400) = ( 1 x 400 ) / 400
GCD(1, 400) = 400 / 400
GCD(1, 400) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 373
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 373) = 373
GCD(1, 373) = ( 1 x 373 ) / 373
GCD(1, 373) = 373 / 373
GCD(1, 373) = 1
GCD of 917, 697, 400, 373 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 917, 697, 400, 373?
GCD of 917, 697, 400, 373 is 1
2. Where do I get the detailed procedure to find GCD of 917, 697, 400, 373?
You can find a detailed procedure to find GCD of 917, 697, 400, 373 on our page.
3. How to find GCD of 917, 697, 400, 373 on a calculator?
You can find the GCD of 917, 697, 400, 373 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.