GCD of 334, 730, 54, 645 Calculator

Given Input numbers are 334, 730, 54, 645

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

Divisors of 334

List of positive integer divisors of 334 that divides 334 without a remainder.

1, 2, 167, 334

Divisors of 730

List of positive integer divisors of 730 that divides 730 without a remainder.

1, 2, 5, 10, 73, 146, 365, 730

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

Divisors of 645

List of positive integer divisors of 645 that divides 645 without a remainder.

1, 3, 5, 15, 43, 129, 215, 645

Greatest Common Divisior

We found the divisors of 334, 730, 54, 645 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 334, 730, 54, 645 is 1.

Therefore, GCD of numbers 334, 730, 54, 645 is 1

Given Input Data is 334, 730, 54, 645

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

Prime Factorization of 334 is 2 x 167

Prime Factorization of 730 is 2 x 5 x 73

Prime Factorization of 54 is 2 x 3 x 3 x 3

Prime Factorization of 645 is 3 x 5 x 43

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(334, 730) = 121910

GCD(334, 730) = ( 334 x 730 ) / 121910

GCD(334, 730) = 243820 / 121910

GCD(334, 730) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 54

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

LCM(2, 54) = 54

GCD(2, 54) = ( 2 x 54 ) / 54

GCD(2, 54) = 108 / 54

GCD(2, 54) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 645

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

LCM(2, 645) = 1290

GCD(2, 645) = ( 2 x 645 ) / 1290

GCD(2, 645) = 1290 / 1290

GCD(2, 645) = 1

GCD of 334, 730, 54, 645 is 1

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1. What is the GCD of 334, 730, 54, 645?

GCD of 334, 730, 54, 645 is 1

2. Where do I get the detailed procedure to find GCD of 334, 730, 54, 645?

You can find a detailed procedure to find GCD of 334, 730, 54, 645 on our page.

3. How to find GCD of 334, 730, 54, 645 on a calculator?

You can find the GCD of 334, 730, 54, 645 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.