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, 632, 942, 816 i.e. 1 largest integer that divides all the numbers equally.
GCD of 917, 632, 942, 816 is 1
GCD(917, 632, 942, 816) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 917, 632, 942, 816 is 1
GCD(917, 632, 942, 816) = 1
Given Input numbers are 917, 632, 942, 816
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 632
List of positive integer divisors of 632 that divides 632 without a remainder.
1, 2, 4, 8, 79, 158, 316, 632
Divisors of 942
List of positive integer divisors of 942 that divides 942 without a remainder.
1, 2, 3, 6, 157, 314, 471, 942
Divisors of 816
List of positive integer divisors of 816 that divides 816 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
Greatest Common Divisior
We found the divisors of 917, 632, 942, 816 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 917, 632, 942, 816 is 1.
Therefore, GCD of numbers 917, 632, 942, 816 is 1
Given Input Data is 917, 632, 942, 816
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 917 is 7 x 131
Prime Factorization of 632 is 2 x 2 x 2 x 79
Prime Factorization of 942 is 2 x 3 x 157
Prime Factorization of 816 is 2 x 2 x 2 x 2 x 3 x 17
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, 632) = 579544
GCD(917, 632) = ( 917 x 632 ) / 579544
GCD(917, 632) = 579544 / 579544
GCD(917, 632) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 942
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 942) = 942
GCD(1, 942) = ( 1 x 942 ) / 942
GCD(1, 942) = 942 / 942
GCD(1, 942) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 816
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 816) = 816
GCD(1, 816) = ( 1 x 816 ) / 816
GCD(1, 816) = 816 / 816
GCD(1, 816) = 1
GCD of 917, 632, 942, 816 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 917, 632, 942, 816?
GCD of 917, 632, 942, 816 is 1
2. Where do I get the detailed procedure to find GCD of 917, 632, 942, 816?
You can find a detailed procedure to find GCD of 917, 632, 942, 816 on our page.
3. How to find GCD of 917, 632, 942, 816 on a calculator?
You can find the GCD of 917, 632, 942, 816 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.