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, 370, 76, 497 i.e. 1 largest integer that divides all the numbers equally.
GCD of 422, 370, 76, 497 is 1
GCD(422, 370, 76, 497) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 422, 370, 76, 497 is 1
GCD(422, 370, 76, 497) = 1
Given Input numbers are 422, 370, 76, 497
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 370
List of positive integer divisors of 370 that divides 370 without a remainder.
1, 2, 5, 10, 37, 74, 185, 370
Divisors of 76
List of positive integer divisors of 76 that divides 76 without a remainder.
1, 2, 4, 19, 38, 76
Divisors of 497
List of positive integer divisors of 497 that divides 497 without a remainder.
1, 7, 71, 497
Greatest Common Divisior
We found the divisors of 422, 370, 76, 497 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 422, 370, 76, 497 is 1.
Therefore, GCD of numbers 422, 370, 76, 497 is 1
Given Input Data is 422, 370, 76, 497
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 422 is 2 x 211
Prime Factorization of 370 is 2 x 5 x 37
Prime Factorization of 76 is 2 x 2 x 19
Prime Factorization of 497 is 7 x 71
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, 370) = 78070
GCD(422, 370) = ( 422 x 370 ) / 78070
GCD(422, 370) = 156140 / 78070
GCD(422, 370) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 76
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 76) = 76
GCD(2, 76) = ( 2 x 76 ) / 76
GCD(2, 76) = 152 / 76
GCD(2, 76) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 497
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 497) = 994
GCD(2, 497) = ( 2 x 497 ) / 994
GCD(2, 497) = 994 / 994
GCD(2, 497) = 1
GCD of 422, 370, 76, 497 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 422, 370, 76, 497?
GCD of 422, 370, 76, 497 is 1
2. Where do I get the detailed procedure to find GCD of 422, 370, 76, 497?
You can find a detailed procedure to find GCD of 422, 370, 76, 497 on our page.
3. How to find GCD of 422, 370, 76, 497 on a calculator?
You can find the GCD of 422, 370, 76, 497 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.