GCD of 585, 434, 460, 125 Calculator

Given Input numbers are 585, 434, 460, 125

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 434

List of positive integer divisors of 434 that divides 434 without a remainder.

1, 2, 7, 14, 31, 62, 217, 434

Divisors of 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 125

List of positive integer divisors of 125 that divides 125 without a remainder.

1, 5, 25, 125

Greatest Common Divisior

We found the divisors of 585, 434, 460, 125 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 585, 434, 460, 125 is 1.

Therefore, GCD of numbers 585, 434, 460, 125 is 1

Given Input Data is 585, 434, 460, 125

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 434 is 2 x 7 x 31

Prime Factorization of 460 is 2 x 2 x 5 x 23

Prime Factorization of 125 is 5 x 5 x 5

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(585, 434) = 253890

GCD(585, 434) = ( 585 x 434 ) / 253890

GCD(585, 434) = 253890 / 253890

GCD(585, 434) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 460

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

LCM(1, 460) = 460

GCD(1, 460) = ( 1 x 460 ) / 460

GCD(1, 460) = 460 / 460

GCD(1, 460) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 125

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

LCM(1, 125) = 125

GCD(1, 125) = ( 1 x 125 ) / 125

GCD(1, 125) = 125 / 125

GCD(1, 125) = 1

GCD of 585, 434, 460, 125 is 1

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1. What is the GCD of 585, 434, 460, 125?

GCD of 585, 434, 460, 125 is 1

2. Where do I get the detailed procedure to find GCD of 585, 434, 460, 125?

You can find a detailed procedure to find GCD of 585, 434, 460, 125 on our page.

3. How to find GCD of 585, 434, 460, 125 on a calculator?

You can find the GCD of 585, 434, 460, 125 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.