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, 955, 43, 728 i.e. 1 largest integer that divides all the numbers equally.
GCD of 917, 955, 43, 728 is 1
GCD(917, 955, 43, 728) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 917, 955, 43, 728 is 1
GCD(917, 955, 43, 728) = 1
Given Input numbers are 917, 955, 43, 728
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 955
List of positive integer divisors of 955 that divides 955 without a remainder.
1, 5, 191, 955
Divisors of 43
List of positive integer divisors of 43 that divides 43 without a remainder.
1, 43
Divisors of 728
List of positive integer divisors of 728 that divides 728 without a remainder.
1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
Greatest Common Divisior
We found the divisors of 917, 955, 43, 728 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 917, 955, 43, 728 is 1.
Therefore, GCD of numbers 917, 955, 43, 728 is 1
Given Input Data is 917, 955, 43, 728
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 917 is 7 x 131
Prime Factorization of 955 is 5 x 191
Prime Factorization of 43 is 43
Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13
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, 955) = 875735
GCD(917, 955) = ( 917 x 955 ) / 875735
GCD(917, 955) = 875735 / 875735
GCD(917, 955) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 43
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 43) = 43
GCD(1, 43) = ( 1 x 43 ) / 43
GCD(1, 43) = 43 / 43
GCD(1, 43) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 728
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 728) = 728
GCD(1, 728) = ( 1 x 728 ) / 728
GCD(1, 728) = 728 / 728
GCD(1, 728) = 1
GCD of 917, 955, 43, 728 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 917, 955, 43, 728?
GCD of 917, 955, 43, 728 is 1
2. Where do I get the detailed procedure to find GCD of 917, 955, 43, 728?
You can find a detailed procedure to find GCD of 917, 955, 43, 728 on our page.
3. How to find GCD of 917, 955, 43, 728 on a calculator?
You can find the GCD of 917, 955, 43, 728 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.