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, 704, 916, 620 i.e. 1 largest integer that divides all the numbers equally.
GCD of 917, 704, 916, 620 is 1
GCD(917, 704, 916, 620) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 917, 704, 916, 620 is 1
GCD(917, 704, 916, 620) = 1
Given Input numbers are 917, 704, 916, 620
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 704
List of positive integer divisors of 704 that divides 704 without a remainder.
1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
Divisors of 916
List of positive integer divisors of 916 that divides 916 without a remainder.
1, 2, 4, 229, 458, 916
Divisors of 620
List of positive integer divisors of 620 that divides 620 without a remainder.
1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
Greatest Common Divisior
We found the divisors of 917, 704, 916, 620 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 917, 704, 916, 620 is 1.
Therefore, GCD of numbers 917, 704, 916, 620 is 1
Given Input Data is 917, 704, 916, 620
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 917 is 7 x 131
Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11
Prime Factorization of 916 is 2 x 2 x 229
Prime Factorization of 620 is 2 x 2 x 5 x 31
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, 704) = 645568
GCD(917, 704) = ( 917 x 704 ) / 645568
GCD(917, 704) = 645568 / 645568
GCD(917, 704) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 916
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 916) = 916
GCD(1, 916) = ( 1 x 916 ) / 916
GCD(1, 916) = 916 / 916
GCD(1, 916) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 620
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 620) = 620
GCD(1, 620) = ( 1 x 620 ) / 620
GCD(1, 620) = 620 / 620
GCD(1, 620) = 1
GCD of 917, 704, 916, 620 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 917, 704, 916, 620?
GCD of 917, 704, 916, 620 is 1
2. Where do I get the detailed procedure to find GCD of 917, 704, 916, 620?
You can find a detailed procedure to find GCD of 917, 704, 916, 620 on our page.
3. How to find GCD of 917, 704, 916, 620 on a calculator?
You can find the GCD of 917, 704, 916, 620 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.