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 422, 425, 85, 746 i.e. 1 largest integer that divides all the numbers equally.
GCD of 422, 425, 85, 746 is 1
GCD(422, 425, 85, 746) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 422, 425, 85, 746 is 1
GCD(422, 425, 85, 746) = 1
Given Input numbers are 422, 425, 85, 746
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 422
List of positive integer divisors of 422 that divides 422 without a remainder.
1, 2, 211, 422
Divisors of 425
List of positive integer divisors of 425 that divides 425 without a remainder.
1, 5, 17, 25, 85, 425
Divisors of 85
List of positive integer divisors of 85 that divides 85 without a remainder.
1, 5, 17, 85
Divisors of 746
List of positive integer divisors of 746 that divides 746 without a remainder.
1, 2, 373, 746
Greatest Common Divisior
We found the divisors of 422, 425, 85, 746 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 422, 425, 85, 746 is 1.
Therefore, GCD of numbers 422, 425, 85, 746 is 1
Given Input Data is 422, 425, 85, 746
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 422 is 2 x 211
Prime Factorization of 425 is 5 x 5 x 17
Prime Factorization of 85 is 5 x 17
Prime Factorization of 746 is 2 x 373
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(422, 425) = 179350
GCD(422, 425) = ( 422 x 425 ) / 179350
GCD(422, 425) = 179350 / 179350
GCD(422, 425) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 85
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 85) = 85
GCD(1, 85) = ( 1 x 85 ) / 85
GCD(1, 85) = 85 / 85
GCD(1, 85) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 746
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 746) = 746
GCD(1, 746) = ( 1 x 746 ) / 746
GCD(1, 746) = 746 / 746
GCD(1, 746) = 1
GCD of 422, 425, 85, 746 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 422, 425, 85, 746?
GCD of 422, 425, 85, 746 is 1
2. Where do I get the detailed procedure to find GCD of 422, 425, 85, 746?
You can find a detailed procedure to find GCD of 422, 425, 85, 746 on our page.
3. How to find GCD of 422, 425, 85, 746 on a calculator?
You can find the GCD of 422, 425, 85, 746 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.