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 426, 238, 65, 917 i.e. 1 largest integer that divides all the numbers equally.
GCD of 426, 238, 65, 917 is 1
GCD(426, 238, 65, 917) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 426, 238, 65, 917 is 1
GCD(426, 238, 65, 917) = 1
Given Input numbers are 426, 238, 65, 917
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 426
List of positive integer divisors of 426 that divides 426 without a remainder.
1, 2, 3, 6, 71, 142, 213, 426
Divisors of 238
List of positive integer divisors of 238 that divides 238 without a remainder.
1, 2, 7, 14, 17, 34, 119, 238
Divisors of 65
List of positive integer divisors of 65 that divides 65 without a remainder.
1, 5, 13, 65
Divisors of 917
List of positive integer divisors of 917 that divides 917 without a remainder.
1, 7, 131, 917
Greatest Common Divisior
We found the divisors of 426, 238, 65, 917 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 426, 238, 65, 917 is 1.
Therefore, GCD of numbers 426, 238, 65, 917 is 1
Given Input Data is 426, 238, 65, 917
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 426 is 2 x 3 x 71
Prime Factorization of 238 is 2 x 7 x 17
Prime Factorization of 65 is 5 x 13
Prime Factorization of 917 is 7 x 131
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(426, 238) = 50694
GCD(426, 238) = ( 426 x 238 ) / 50694
GCD(426, 238) = 101388 / 50694
GCD(426, 238) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 65
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 65) = 130
GCD(2, 65) = ( 2 x 65 ) / 130
GCD(2, 65) = 130 / 130
GCD(2, 65) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 917
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 917) = 917
GCD(1, 917) = ( 1 x 917 ) / 917
GCD(1, 917) = 917 / 917
GCD(1, 917) = 1
GCD of 426, 238, 65, 917 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 426, 238, 65, 917?
GCD of 426, 238, 65, 917 is 1
2. Where do I get the detailed procedure to find GCD of 426, 238, 65, 917?
You can find a detailed procedure to find GCD of 426, 238, 65, 917 on our page.
3. How to find GCD of 426, 238, 65, 917 on a calculator?
You can find the GCD of 426, 238, 65, 917 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.