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, 674, 89, 511 i.e. 1 largest integer that divides all the numbers equally.
GCD of 422, 674, 89, 511 is 1
GCD(422, 674, 89, 511) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 422, 674, 89, 511 is 1
GCD(422, 674, 89, 511) = 1
Given Input numbers are 422, 674, 89, 511
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 674
List of positive integer divisors of 674 that divides 674 without a remainder.
1, 2, 337, 674
Divisors of 89
List of positive integer divisors of 89 that divides 89 without a remainder.
1, 89
Divisors of 511
List of positive integer divisors of 511 that divides 511 without a remainder.
1, 7, 73, 511
Greatest Common Divisior
We found the divisors of 422, 674, 89, 511 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 422, 674, 89, 511 is 1.
Therefore, GCD of numbers 422, 674, 89, 511 is 1
Given Input Data is 422, 674, 89, 511
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 422 is 2 x 211
Prime Factorization of 674 is 2 x 337
Prime Factorization of 89 is 89
Prime Factorization of 511 is 7 x 73
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, 674) = 142214
GCD(422, 674) = ( 422 x 674 ) / 142214
GCD(422, 674) = 284428 / 142214
GCD(422, 674) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 89
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 89) = 178
GCD(2, 89) = ( 2 x 89 ) / 178
GCD(2, 89) = 178 / 178
GCD(2, 89) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 511
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 511) = 511
GCD(1, 511) = ( 1 x 511 ) / 511
GCD(1, 511) = 511 / 511
GCD(1, 511) = 1
GCD of 422, 674, 89, 511 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 422, 674, 89, 511?
GCD of 422, 674, 89, 511 is 1
2. Where do I get the detailed procedure to find GCD of 422, 674, 89, 511?
You can find a detailed procedure to find GCD of 422, 674, 89, 511 on our page.
3. How to find GCD of 422, 674, 89, 511 on a calculator?
You can find the GCD of 422, 674, 89, 511 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.