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, 618, 71, 392 i.e. 1 largest integer that divides all the numbers equally.
GCD of 422, 618, 71, 392 is 1
GCD(422, 618, 71, 392) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 422, 618, 71, 392 is 1
GCD(422, 618, 71, 392) = 1
Given Input numbers are 422, 618, 71, 392
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 618
List of positive integer divisors of 618 that divides 618 without a remainder.
1, 2, 3, 6, 103, 206, 309, 618
Divisors of 71
List of positive integer divisors of 71 that divides 71 without a remainder.
1, 71
Divisors of 392
List of positive integer divisors of 392 that divides 392 without a remainder.
1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
Greatest Common Divisior
We found the divisors of 422, 618, 71, 392 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 422, 618, 71, 392 is 1.
Therefore, GCD of numbers 422, 618, 71, 392 is 1
Given Input Data is 422, 618, 71, 392
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 422 is 2 x 211
Prime Factorization of 618 is 2 x 3 x 103
Prime Factorization of 71 is 71
Prime Factorization of 392 is 2 x 2 x 2 x 7 x 7
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, 618) = 130398
GCD(422, 618) = ( 422 x 618 ) / 130398
GCD(422, 618) = 260796 / 130398
GCD(422, 618) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 71
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 71) = 142
GCD(2, 71) = ( 2 x 71 ) / 142
GCD(2, 71) = 142 / 142
GCD(2, 71) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 392
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 392) = 392
GCD(1, 392) = ( 1 x 392 ) / 392
GCD(1, 392) = 392 / 392
GCD(1, 392) = 1
GCD of 422, 618, 71, 392 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 422, 618, 71, 392?
GCD of 422, 618, 71, 392 is 1
2. Where do I get the detailed procedure to find GCD of 422, 618, 71, 392?
You can find a detailed procedure to find GCD of 422, 618, 71, 392 on our page.
3. How to find GCD of 422, 618, 71, 392 on a calculator?
You can find the GCD of 422, 618, 71, 392 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.