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 489, 341, 422, 700 i.e. 1 largest integer that divides all the numbers equally.
GCD of 489, 341, 422, 700 is 1
GCD(489, 341, 422, 700) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 489, 341, 422, 700 is 1
GCD(489, 341, 422, 700) = 1
Given Input numbers are 489, 341, 422, 700
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 489
List of positive integer divisors of 489 that divides 489 without a remainder.
1, 3, 163, 489
Divisors of 341
List of positive integer divisors of 341 that divides 341 without a remainder.
1, 11, 31, 341
Divisors of 422
List of positive integer divisors of 422 that divides 422 without a remainder.
1, 2, 211, 422
Divisors of 700
List of positive integer divisors of 700 that divides 700 without a remainder.
1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
Greatest Common Divisior
We found the divisors of 489, 341, 422, 700 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 489, 341, 422, 700 is 1.
Therefore, GCD of numbers 489, 341, 422, 700 is 1
Given Input Data is 489, 341, 422, 700
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 489 is 3 x 163
Prime Factorization of 341 is 11 x 31
Prime Factorization of 422 is 2 x 211
Prime Factorization of 700 is 2 x 2 x 5 x 5 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(489, 341) = 166749
GCD(489, 341) = ( 489 x 341 ) / 166749
GCD(489, 341) = 166749 / 166749
GCD(489, 341) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 422
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 422) = 422
GCD(1, 422) = ( 1 x 422 ) / 422
GCD(1, 422) = 422 / 422
GCD(1, 422) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 700
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 700) = 700
GCD(1, 700) = ( 1 x 700 ) / 700
GCD(1, 700) = 700 / 700
GCD(1, 700) = 1
GCD of 489, 341, 422, 700 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 489, 341, 422, 700?
GCD of 489, 341, 422, 700 is 1
2. Where do I get the detailed procedure to find GCD of 489, 341, 422, 700?
You can find a detailed procedure to find GCD of 489, 341, 422, 700 on our page.
3. How to find GCD of 489, 341, 422, 700 on a calculator?
You can find the GCD of 489, 341, 422, 700 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.