GCD of 402, 207, 24, 644 Calculator

Given Input numbers are 402, 207, 24, 644

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

Divisors of 402

List of positive integer divisors of 402 that divides 402 without a remainder.

1, 2, 3, 6, 67, 134, 201, 402

Divisors of 207

List of positive integer divisors of 207 that divides 207 without a remainder.

1, 3, 9, 23, 69, 207

Divisors of 24

List of positive integer divisors of 24 that divides 24 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24

Divisors of 644

List of positive integer divisors of 644 that divides 644 without a remainder.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

Greatest Common Divisior

We found the divisors of 402, 207, 24, 644 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 402, 207, 24, 644 is 1.

Therefore, GCD of numbers 402, 207, 24, 644 is 1

Given Input Data is 402, 207, 24, 644

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

Prime Factorization of 402 is 2 x 3 x 67

Prime Factorization of 207 is 3 x 3 x 23

Prime Factorization of 24 is 2 x 2 x 2 x 3

Prime Factorization of 644 is 2 x 2 x 7 x 23

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(402, 207) = 27738

GCD(402, 207) = ( 402 x 207 ) / 27738

GCD(402, 207) = 83214 / 27738

GCD(402, 207) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 24

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

LCM(3, 24) = 24

GCD(3, 24) = ( 3 x 24 ) / 24

GCD(3, 24) = 72 / 24

GCD(3, 24) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 644

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

LCM(3, 644) = 1932

GCD(3, 644) = ( 3 x 644 ) / 1932

GCD(3, 644) = 1932 / 1932

GCD(3, 644) = 1

GCD of 402, 207, 24, 644 is 1

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1. What is the GCD of 402, 207, 24, 644?

GCD of 402, 207, 24, 644 is 1

2. Where do I get the detailed procedure to find GCD of 402, 207, 24, 644?

You can find a detailed procedure to find GCD of 402, 207, 24, 644 on our page.

3. How to find GCD of 402, 207, 24, 644 on a calculator?

You can find the GCD of 402, 207, 24, 644 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.