GCD of 225, 971, 92, 285 Calculator

Given Input numbers are 225, 971, 92, 285

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

Divisors of 225

List of positive integer divisors of 225 that divides 225 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225

Divisors of 971

List of positive integer divisors of 971 that divides 971 without a remainder.

1, 971

Divisors of 92

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

1, 2, 4, 23, 46, 92

Divisors of 285

List of positive integer divisors of 285 that divides 285 without a remainder.

1, 3, 5, 15, 19, 57, 95, 285

Greatest Common Divisior

We found the divisors of 225, 971, 92, 285 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 225, 971, 92, 285 is 1.

Therefore, GCD of numbers 225, 971, 92, 285 is 1

Given Input Data is 225, 971, 92, 285

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

Prime Factorization of 225 is 3 x 3 x 5 x 5

Prime Factorization of 971 is 971

Prime Factorization of 92 is 2 x 2 x 23

Prime Factorization of 285 is 3 x 5 x 19

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(225, 971) = 218475

GCD(225, 971) = ( 225 x 971 ) / 218475

GCD(225, 971) = 218475 / 218475

GCD(225, 971) = 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 285

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

LCM(1, 285) = 285

GCD(1, 285) = ( 1 x 285 ) / 285

GCD(1, 285) = 285 / 285

GCD(1, 285) = 1

GCD of 225, 971, 92, 285 is 1

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1. What is the GCD of 225, 971, 92, 285?

GCD of 225, 971, 92, 285 is 1

2. Where do I get the detailed procedure to find GCD of 225, 971, 92, 285?

You can find a detailed procedure to find GCD of 225, 971, 92, 285 on our page.

3. How to find GCD of 225, 971, 92, 285 on a calculator?

You can find the GCD of 225, 971, 92, 285 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.