GCD of 522, 759, 310, 490 Calculator

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

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• GCD of 346, 465, 770, 443
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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.