GCD of 812, 524, 759, 302 Calculator

Given Input numbers are 812, 524, 759, 302

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 812

List of positive integer divisors of 812 that divides 812 without a remainder.

1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

Divisors of 524

List of positive integer divisors of 524 that divides 524 without a remainder.

1, 2, 4, 131, 262, 524

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 302

List of positive integer divisors of 302 that divides 302 without a remainder.

1, 2, 151, 302

Greatest Common Divisior

We found the divisors of 812, 524, 759, 302 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 812, 524, 759, 302 is 1.

Therefore, GCD of numbers 812, 524, 759, 302 is 1

Given Input Data is 812, 524, 759, 302

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 812 is 2 x 2 x 7 x 29

Prime Factorization of 524 is 2 x 2 x 131

Prime Factorization of 759 is 3 x 11 x 23

Prime Factorization of 302 is 2 x 151

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(812, 524) = 106372

GCD(812, 524) = ( 812 x 524 ) / 106372

GCD(812, 524) = 425488 / 106372

GCD(812, 524) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 759

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(4, 759) = 3036

GCD(4, 759) = ( 4 x 759 ) / 3036

GCD(4, 759) = 3036 / 3036

GCD(4, 759) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 302

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 302) = 302

GCD(1, 302) = ( 1 x 302 ) / 302

GCD(1, 302) = 302 / 302

GCD(1, 302) = 1

GCD of 812, 524, 759, 302 is 1

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1. What is the GCD of 812, 524, 759, 302?

GCD of 812, 524, 759, 302 is 1

2. Where do I get the detailed procedure to find GCD of 812, 524, 759, 302?

You can find a detailed procedure to find GCD of 812, 524, 759, 302 on our page.

3. How to find GCD of 812, 524, 759, 302 on a calculator?

You can find the GCD of 812, 524, 759, 302 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.