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, 404, 357 i.e. 1 largest integer that divides all the numbers equally.
GCD of 490, 404, 357 is 1
GCD(490, 404, 357) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 490, 404, 357 is 1
GCD(490, 404, 357) = 1
Given Input numbers are 490, 404, 357
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 404
List of positive integer divisors of 404 that divides 404 without a remainder.
1, 2, 4, 101, 202, 404
Divisors of 357
List of positive integer divisors of 357 that divides 357 without a remainder.
1, 3, 7, 17, 21, 51, 119, 357
Greatest Common Divisior
We found the divisors of 490, 404, 357 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 490, 404, 357 is 1.
Therefore, GCD of numbers 490, 404, 357 is 1
Given Input Data is 490, 404, 357
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 404 is 2 x 2 x 101
Prime Factorization of 357 is 3 x 7 x 17
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, 404) = 98980
GCD(490, 404) = ( 490 x 404 ) / 98980
GCD(490, 404) = 197960 / 98980
GCD(490, 404) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 357
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 357) = 714
GCD(2, 357) = ( 2 x 357 ) / 714
GCD(2, 357) = 714 / 714
GCD(2, 357) = 1
GCD of 490, 404, 357 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 490, 404, 357?
GCD of 490, 404, 357 is 1
2. Where do I get the detailed procedure to find GCD of 490, 404, 357?
You can find a detailed procedure to find GCD of 490, 404, 357 on our page.
3. How to find GCD of 490, 404, 357 on a calculator?
You can find the GCD of 490, 404, 357 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.