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 522, 759, 310, 490 i.e. 1 largest integer that divides all the numbers equally.
GCD of 522, 759, 310, 490 is 1
GCD(522, 759, 310, 490) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 522, 759, 310, 490 is 1
GCD(522, 759, 310, 490) = 1
Given Input numbers are 522, 759, 310, 490
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 522
List of positive integer divisors of 522 that divides 522 without a remainder.
1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
Divisors of 759
List of positive integer divisors of 759 that divides 759 without a remainder.
1, 3, 11, 23, 33, 69, 253, 759
Divisors of 310
List of positive integer divisors of 310 that divides 310 without a remainder.
1, 2, 5, 10, 31, 62, 155, 310
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
Greatest Common Divisior
We found the divisors of 522, 759, 310, 490 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 522, 759, 310, 490 is 1.
Therefore, GCD of numbers 522, 759, 310, 490 is 1
Given Input Data is 522, 759, 310, 490
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 522 is 2 x 3 x 3 x 29
Prime Factorization of 759 is 3 x 11 x 23
Prime Factorization of 310 is 2 x 5 x 31
Prime Factorization of 490 is 2 x 5 x 7 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(522, 759) = 132066
GCD(522, 759) = ( 522 x 759 ) / 132066
GCD(522, 759) = 396198 / 132066
GCD(522, 759) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 310
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 310) = 930
GCD(3, 310) = ( 3 x 310 ) / 930
GCD(3, 310) = 930 / 930
GCD(3, 310) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 490
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 490) = 490
GCD(1, 490) = ( 1 x 490 ) / 490
GCD(1, 490) = 490 / 490
GCD(1, 490) = 1
GCD of 522, 759, 310, 490 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 522, 759, 310, 490?
GCD of 522, 759, 310, 490 is 1
2. Where do I get the detailed procedure to find GCD of 522, 759, 310, 490?
You can find a detailed procedure to find GCD of 522, 759, 310, 490 on our page.
3. How to find GCD of 522, 759, 310, 490 on a calculator?
You can find the GCD of 522, 759, 310, 490 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.