GCD of 92, 647, 966, 225 Calculator

Given Input numbers are 92, 647, 966, 225

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

Divisors of 92

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

1, 2, 4, 23, 46, 92

Divisors of 647

List of positive integer divisors of 647 that divides 647 without a remainder.

1, 647

Divisors of 966

List of positive integer divisors of 966 that divides 966 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

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

Greatest Common Divisior

We found the divisors of 92, 647, 966, 225 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 92, 647, 966, 225 is 1.

Therefore, GCD of numbers 92, 647, 966, 225 is 1

Given Input Data is 92, 647, 966, 225

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

Prime Factorization of 92 is 2 x 2 x 23

Prime Factorization of 647 is 647

Prime Factorization of 966 is 2 x 3 x 7 x 23

Prime Factorization of 225 is 3 x 3 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(92, 647) = 59524

GCD(92, 647) = ( 92 x 647 ) / 59524

GCD(92, 647) = 59524 / 59524

GCD(92, 647) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 966

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

LCM(1, 966) = 966

GCD(1, 966) = ( 1 x 966 ) / 966

GCD(1, 966) = 966 / 966

GCD(1, 966) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 225

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

LCM(1, 225) = 225

GCD(1, 225) = ( 1 x 225 ) / 225

GCD(1, 225) = 225 / 225

GCD(1, 225) = 1

GCD of 92, 647, 966, 225 is 1

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1. What is the GCD of 92, 647, 966, 225?

GCD of 92, 647, 966, 225 is 1

2. Where do I get the detailed procedure to find GCD of 92, 647, 966, 225?

You can find a detailed procedure to find GCD of 92, 647, 966, 225 on our page.

3. How to find GCD of 92, 647, 966, 225 on a calculator?

You can find the GCD of 92, 647, 966, 225 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.