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 530, 289, 690, 558 i.e. 1 largest integer that divides all the numbers equally.
GCD of 530, 289, 690, 558 is 1
GCD(530, 289, 690, 558) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 530, 289, 690, 558 is 1
GCD(530, 289, 690, 558) = 1
Given Input numbers are 530, 289, 690, 558
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 530
List of positive integer divisors of 530 that divides 530 without a remainder.
1, 2, 5, 10, 53, 106, 265, 530
Divisors of 289
List of positive integer divisors of 289 that divides 289 without a remainder.
1, 17, 289
Divisors of 690
List of positive integer divisors of 690 that divides 690 without a remainder.
1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
Divisors of 558
List of positive integer divisors of 558 that divides 558 without a remainder.
1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
Greatest Common Divisior
We found the divisors of 530, 289, 690, 558 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 530, 289, 690, 558 is 1.
Therefore, GCD of numbers 530, 289, 690, 558 is 1
Given Input Data is 530, 289, 690, 558
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 530 is 2 x 5 x 53
Prime Factorization of 289 is 17 x 17
Prime Factorization of 690 is 2 x 3 x 5 x 23
Prime Factorization of 558 is 2 x 3 x 3 x 31
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(530, 289) = 153170
GCD(530, 289) = ( 530 x 289 ) / 153170
GCD(530, 289) = 153170 / 153170
GCD(530, 289) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 690
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 690) = 690
GCD(1, 690) = ( 1 x 690 ) / 690
GCD(1, 690) = 690 / 690
GCD(1, 690) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 558
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 558) = 558
GCD(1, 558) = ( 1 x 558 ) / 558
GCD(1, 558) = 558 / 558
GCD(1, 558) = 1
GCD of 530, 289, 690, 558 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 530, 289, 690, 558?
GCD of 530, 289, 690, 558 is 1
2. Where do I get the detailed procedure to find GCD of 530, 289, 690, 558?
You can find a detailed procedure to find GCD of 530, 289, 690, 558 on our page.
3. How to find GCD of 530, 289, 690, 558 on a calculator?
You can find the GCD of 530, 289, 690, 558 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.