GCD of 422, 746, 597, 648 Calculator

Given Input numbers are 422, 746, 597, 648

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

Divisors of 422

List of positive integer divisors of 422 that divides 422 without a remainder.

1, 2, 211, 422

Divisors of 746

List of positive integer divisors of 746 that divides 746 without a remainder.

1, 2, 373, 746

Divisors of 597

List of positive integer divisors of 597 that divides 597 without a remainder.

1, 3, 199, 597

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 422, 746, 597, 648 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 422, 746, 597, 648 is 1.

Therefore, GCD of numbers 422, 746, 597, 648 is 1

Given Input Data is 422, 746, 597, 648

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

Prime Factorization of 422 is 2 x 211

Prime Factorization of 746 is 2 x 373

Prime Factorization of 597 is 3 x 199

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(422, 746) = 157406

GCD(422, 746) = ( 422 x 746 ) / 157406

GCD(422, 746) = 314812 / 157406

GCD(422, 746) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 597

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

LCM(2, 597) = 1194

GCD(2, 597) = ( 2 x 597 ) / 1194

GCD(2, 597) = 1194 / 1194

GCD(2, 597) = 1

Step3:

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 422, 746, 597, 648 is 1

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1. What is the GCD of 422, 746, 597, 648?

GCD of 422, 746, 597, 648 is 1

2. Where do I get the detailed procedure to find GCD of 422, 746, 597, 648?

You can find a detailed procedure to find GCD of 422, 746, 597, 648 on our page.

3. How to find GCD of 422, 746, 597, 648 on a calculator?

You can find the GCD of 422, 746, 597, 648 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.