GCD of 585, 600, 430, 675 Calculator

Given Input numbers are 585, 600, 430, 675

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

Divisors of 585

List of positive integer divisors of 585 that divides 585 without a remainder.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Divisors of 600

List of positive integer divisors of 600 that divides 600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 430

List of positive integer divisors of 430 that divides 430 without a remainder.

1, 2, 5, 10, 43, 86, 215, 430

Divisors of 675

List of positive integer divisors of 675 that divides 675 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Greatest Common Divisior

We found the divisors of 585, 600, 430, 675 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 585, 600, 430, 675 is 5.

Therefore, GCD of numbers 585, 600, 430, 675 is 5

Given Input Data is 585, 600, 430, 675

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

Prime Factorization of 585 is 3 x 3 x 5 x 13

Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5

Prime Factorization of 430 is 2 x 5 x 43

Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5

Highest common occurrences in the given inputs are 5¹

Multiplying them we get the GCD as 5

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(585, 600) = 23400

GCD(585, 600) = ( 585 x 600 ) / 23400

GCD(585, 600) = 351000 / 23400

GCD(585, 600) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 430

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

LCM(15, 430) = 1290

GCD(15, 430) = ( 15 x 430 ) / 1290

GCD(15, 430) = 6450 / 1290

GCD(15, 430) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 675

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

LCM(5, 675) = 675

GCD(5, 675) = ( 5 x 675 ) / 675

GCD(5, 675) = 3375 / 675

GCD(5, 675) = 5

GCD of 585, 600, 430, 675 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 241, 939, 434, 956
• GCD of 431, 319, 803, 200
• GCD of 667, 372, 263, 225
• GCD of 844, 268, 297, 188
• GCD of 160, 401, 464, 599

1. What is the GCD of 585, 600, 430, 675?

GCD of 585, 600, 430, 675 is 5

2. Where do I get the detailed procedure to find GCD of 585, 600, 430, 675?

You can find a detailed procedure to find GCD of 585, 600, 430, 675 on our page.

3. How to find GCD of 585, 600, 430, 675 on a calculator?

You can find the GCD of 585, 600, 430, 675 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.