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 490, 489, 67, 794 i.e. 1 largest integer that divides all the numbers equally.
GCD of 490, 489, 67, 794 is 1
GCD(490, 489, 67, 794) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 490, 489, 67, 794 is 1
GCD(490, 489, 67, 794) = 1
Given Input numbers are 490, 489, 67, 794
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 490
List of positive integer divisors of 490 that divides 490 without a remainder.
1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
Divisors of 489
List of positive integer divisors of 489 that divides 489 without a remainder.
1, 3, 163, 489
Divisors of 67
List of positive integer divisors of 67 that divides 67 without a remainder.
1, 67
Divisors of 794
List of positive integer divisors of 794 that divides 794 without a remainder.
1, 2, 397, 794
Greatest Common Divisior
We found the divisors of 490, 489, 67, 794 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 490, 489, 67, 794 is 1.
Therefore, GCD of numbers 490, 489, 67, 794 is 1
Given Input Data is 490, 489, 67, 794
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 490 is 2 x 5 x 7 x 7
Prime Factorization of 489 is 3 x 163
Prime Factorization of 67 is 67
Prime Factorization of 794 is 2 x 397
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(490, 489) = 239610
GCD(490, 489) = ( 490 x 489 ) / 239610
GCD(490, 489) = 239610 / 239610
GCD(490, 489) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 67
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 67) = 67
GCD(1, 67) = ( 1 x 67 ) / 67
GCD(1, 67) = 67 / 67
GCD(1, 67) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 794
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 794) = 794
GCD(1, 794) = ( 1 x 794 ) / 794
GCD(1, 794) = 794 / 794
GCD(1, 794) = 1
GCD of 490, 489, 67, 794 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 490, 489, 67, 794?
GCD of 490, 489, 67, 794 is 1
2. Where do I get the detailed procedure to find GCD of 490, 489, 67, 794?
You can find a detailed procedure to find GCD of 490, 489, 67, 794 on our page.
3. How to find GCD of 490, 489, 67, 794 on a calculator?
You can find the GCD of 490, 489, 67, 794 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.