GCD of 125, 578, 18, 312 Calculator

Given Input numbers are 125, 578, 18, 312

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

Divisors of 125

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

1, 5, 25, 125

Divisors of 578

List of positive integer divisors of 578 that divides 578 without a remainder.

1, 2, 17, 34, 289, 578

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

Divisors of 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Greatest Common Divisior

We found the divisors of 125, 578, 18, 312 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 125, 578, 18, 312 is 1.

Therefore, GCD of numbers 125, 578, 18, 312 is 1

Given Input Data is 125, 578, 18, 312

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

Prime Factorization of 125 is 5 x 5 x 5

Prime Factorization of 578 is 2 x 17 x 17

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

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(125, 578) = 72250

GCD(125, 578) = ( 125 x 578 ) / 72250

GCD(125, 578) = 72250 / 72250

GCD(125, 578) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 18

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

LCM(1, 18) = 18

GCD(1, 18) = ( 1 x 18 ) / 18

GCD(1, 18) = 18 / 18

GCD(1, 18) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 312

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

LCM(1, 312) = 312

GCD(1, 312) = ( 1 x 312 ) / 312

GCD(1, 312) = 312 / 312

GCD(1, 312) = 1

GCD of 125, 578, 18, 312 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 852, 963, 82, 254
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• GCD of 213, 247, 43, 793

1. What is the GCD of 125, 578, 18, 312?

GCD of 125, 578, 18, 312 is 1

2. Where do I get the detailed procedure to find GCD of 125, 578, 18, 312?

You can find a detailed procedure to find GCD of 125, 578, 18, 312 on our page.

3. How to find GCD of 125, 578, 18, 312 on a calculator?

You can find the GCD of 125, 578, 18, 312 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.