GCD of 595, 540, 351, 828 Calculator

Given Input numbers are 595, 540, 351, 828

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

Divisors of 595

List of positive integer divisors of 595 that divides 595 without a remainder.

1, 5, 7, 17, 35, 85, 119, 595

Divisors of 540

List of positive integer divisors of 540 that divides 540 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Divisors of 351

List of positive integer divisors of 351 that divides 351 without a remainder.

1, 3, 9, 13, 27, 39, 117, 351

Divisors of 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Greatest Common Divisior

We found the divisors of 595, 540, 351, 828 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 595, 540, 351, 828 is 1.

Therefore, GCD of numbers 595, 540, 351, 828 is 1

Given Input Data is 595, 540, 351, 828

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

Prime Factorization of 595 is 5 x 7 x 17

Prime Factorization of 540 is 2 x 2 x 3 x 3 x 3 x 5

Prime Factorization of 351 is 3 x 3 x 3 x 13

Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23

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(595, 540) = 64260

GCD(595, 540) = ( 595 x 540 ) / 64260

GCD(595, 540) = 321300 / 64260

GCD(595, 540) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 351

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

LCM(5, 351) = 1755

GCD(5, 351) = ( 5 x 351 ) / 1755

GCD(5, 351) = 1755 / 1755

GCD(5, 351) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 828

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

LCM(1, 828) = 828

GCD(1, 828) = ( 1 x 828 ) / 828

GCD(1, 828) = 828 / 828

GCD(1, 828) = 1

GCD of 595, 540, 351, 828 is 1

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1. What is the GCD of 595, 540, 351, 828?

GCD of 595, 540, 351, 828 is 1

2. Where do I get the detailed procedure to find GCD of 595, 540, 351, 828?

You can find a detailed procedure to find GCD of 595, 540, 351, 828 on our page.

3. How to find GCD of 595, 540, 351, 828 on a calculator?

You can find the GCD of 595, 540, 351, 828 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.