GCD of 492, 577, 648 Calculator

Given Input numbers are 492, 577, 648

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

Divisors of 492

List of positive integer divisors of 492 that divides 492 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 577

List of positive integer divisors of 577 that divides 577 without a remainder.

1, 577

Divisors of 648

List of positive integer divisors of 648 that divides 648 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Greatest Common Divisior

We found the divisors of 492, 577, 648 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 492, 577, 648 is 1.

Therefore, GCD of numbers 492, 577, 648 is 1

Given Input Data is 492, 577, 648

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

Prime Factorization of 492 is 2 x 2 x 3 x 41

Prime Factorization of 577 is 577

Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3

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(492, 577) = 283884

GCD(492, 577) = ( 492 x 577 ) / 283884

GCD(492, 577) = 283884 / 283884

GCD(492, 577) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 648

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

LCM(1, 648) = 648

GCD(1, 648) = ( 1 x 648 ) / 648

GCD(1, 648) = 648 / 648

GCD(1, 648) = 1

GCD of 492, 577, 648 is 1

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1. What is the GCD of 492, 577, 648?

GCD of 492, 577, 648 is 1

2. Where do I get the detailed procedure to find GCD of 492, 577, 648?

You can find a detailed procedure to find GCD of 492, 577, 648 on our page.

3. How to find GCD of 492, 577, 648 on a calculator?

You can find the GCD of 492, 577, 648 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.