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, 308, 151, 834 i.e. 1 largest integer that divides all the numbers equally.
GCD of 917, 308, 151, 834 is 1
GCD(917, 308, 151, 834) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 917, 308, 151, 834 is 1
GCD(917, 308, 151, 834) = 1
Given Input numbers are 917, 308, 151, 834
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 308
List of positive integer divisors of 308 that divides 308 without a remainder.
1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
Divisors of 151
List of positive integer divisors of 151 that divides 151 without a remainder.
1, 151
Divisors of 834
List of positive integer divisors of 834 that divides 834 without a remainder.
1, 2, 3, 6, 139, 278, 417, 834
Greatest Common Divisior
We found the divisors of 917, 308, 151, 834 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 917, 308, 151, 834 is 1.
Therefore, GCD of numbers 917, 308, 151, 834 is 1
Given Input Data is 917, 308, 151, 834
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 917 is 7 x 131
Prime Factorization of 308 is 2 x 2 x 7 x 11
Prime Factorization of 151 is 151
Prime Factorization of 834 is 2 x 3 x 139
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, 308) = 40348
GCD(917, 308) = ( 917 x 308 ) / 40348
GCD(917, 308) = 282436 / 40348
GCD(917, 308) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 151
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 151) = 1057
GCD(7, 151) = ( 7 x 151 ) / 1057
GCD(7, 151) = 1057 / 1057
GCD(7, 151) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 834
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 834) = 834
GCD(1, 834) = ( 1 x 834 ) / 834
GCD(1, 834) = 834 / 834
GCD(1, 834) = 1
GCD of 917, 308, 151, 834 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 917, 308, 151, 834?
GCD of 917, 308, 151, 834 is 1
2. Where do I get the detailed procedure to find GCD of 917, 308, 151, 834?
You can find a detailed procedure to find GCD of 917, 308, 151, 834 on our page.
3. How to find GCD of 917, 308, 151, 834 on a calculator?
You can find the GCD of 917, 308, 151, 834 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.