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 355, 498, 568, 530 i.e. 1 largest integer that divides all the numbers equally.
GCD of 355, 498, 568, 530 is 1
GCD(355, 498, 568, 530) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 355, 498, 568, 530 is 1
GCD(355, 498, 568, 530) = 1
Given Input numbers are 355, 498, 568, 530
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 355
List of positive integer divisors of 355 that divides 355 without a remainder.
1, 5, 71, 355
Divisors of 498
List of positive integer divisors of 498 that divides 498 without a remainder.
1, 2, 3, 6, 83, 166, 249, 498
Divisors of 568
List of positive integer divisors of 568 that divides 568 without a remainder.
1, 2, 4, 8, 71, 142, 284, 568
Divisors of 530
List of positive integer divisors of 530 that divides 530 without a remainder.
1, 2, 5, 10, 53, 106, 265, 530
Greatest Common Divisior
We found the divisors of 355, 498, 568, 530 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 355, 498, 568, 530 is 1.
Therefore, GCD of numbers 355, 498, 568, 530 is 1
Given Input Data is 355, 498, 568, 530
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 355 is 5 x 71
Prime Factorization of 498 is 2 x 3 x 83
Prime Factorization of 568 is 2 x 2 x 2 x 71
Prime Factorization of 530 is 2 x 5 x 53
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(355, 498) = 176790
GCD(355, 498) = ( 355 x 498 ) / 176790
GCD(355, 498) = 176790 / 176790
GCD(355, 498) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 568
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 568) = 568
GCD(1, 568) = ( 1 x 568 ) / 568
GCD(1, 568) = 568 / 568
GCD(1, 568) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 530
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 530) = 530
GCD(1, 530) = ( 1 x 530 ) / 530
GCD(1, 530) = 530 / 530
GCD(1, 530) = 1
GCD of 355, 498, 568, 530 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 355, 498, 568, 530?
GCD of 355, 498, 568, 530 is 1
2. Where do I get the detailed procedure to find GCD of 355, 498, 568, 530?
You can find a detailed procedure to find GCD of 355, 498, 568, 530 on our page.
3. How to find GCD of 355, 498, 568, 530 on a calculator?
You can find the GCD of 355, 498, 568, 530 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.