GCD of 325, 288, 92, 180 Calculator

Given Input numbers are 325, 288, 92, 180

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

Divisors of 325

List of positive integer divisors of 325 that divides 325 without a remainder.

1, 5, 13, 25, 65, 325

Divisors of 288

List of positive integer divisors of 288 that divides 288 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Divisors of 92

List of positive integer divisors of 92 that divides 92 without a remainder.

1, 2, 4, 23, 46, 92

Divisors of 180

List of positive integer divisors of 180 that divides 180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Greatest Common Divisior

We found the divisors of 325, 288, 92, 180 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 325, 288, 92, 180 is 1.

Therefore, GCD of numbers 325, 288, 92, 180 is 1

Given Input Data is 325, 288, 92, 180

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

Prime Factorization of 325 is 5 x 5 x 13

Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 92 is 2 x 2 x 23

Prime Factorization of 180 is 2 x 2 x 3 x 3 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(325, 288) = 93600

GCD(325, 288) = ( 325 x 288 ) / 93600

GCD(325, 288) = 93600 / 93600

GCD(325, 288) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 92

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

LCM(1, 92) = 92

GCD(1, 92) = ( 1 x 92 ) / 92

GCD(1, 92) = 92 / 92

GCD(1, 92) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 180

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

LCM(1, 180) = 180

GCD(1, 180) = ( 1 x 180 ) / 180

GCD(1, 180) = 180 / 180

GCD(1, 180) = 1

GCD of 325, 288, 92, 180 is 1

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1. What is the GCD of 325, 288, 92, 180?

GCD of 325, 288, 92, 180 is 1

2. Where do I get the detailed procedure to find GCD of 325, 288, 92, 180?

You can find a detailed procedure to find GCD of 325, 288, 92, 180 on our page.

3. How to find GCD of 325, 288, 92, 180 on a calculator?

You can find the GCD of 325, 288, 92, 180 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.