GCD of 339, 639, 746, 442 Calculator

Given Input numbers are 339, 639, 746, 442

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

Divisors of 339

List of positive integer divisors of 339 that divides 339 without a remainder.

1, 3, 113, 339

Divisors of 639

List of positive integer divisors of 639 that divides 639 without a remainder.

1, 3, 9, 71, 213, 639

Divisors of 746

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

1, 2, 373, 746

Divisors of 442

List of positive integer divisors of 442 that divides 442 without a remainder.

1, 2, 13, 17, 26, 34, 221, 442

Greatest Common Divisior

We found the divisors of 339, 639, 746, 442 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 339, 639, 746, 442 is 1.

Therefore, GCD of numbers 339, 639, 746, 442 is 1

Given Input Data is 339, 639, 746, 442

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

Prime Factorization of 339 is 3 x 113

Prime Factorization of 639 is 3 x 3 x 71

Prime Factorization of 746 is 2 x 373

Prime Factorization of 442 is 2 x 13 x 17

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(339, 639) = 72207

GCD(339, 639) = ( 339 x 639 ) / 72207

GCD(339, 639) = 216621 / 72207

GCD(339, 639) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 746

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

LCM(3, 746) = 2238

GCD(3, 746) = ( 3 x 746 ) / 2238

GCD(3, 746) = 2238 / 2238

GCD(3, 746) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 442

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

LCM(1, 442) = 442

GCD(1, 442) = ( 1 x 442 ) / 442

GCD(1, 442) = 442 / 442

GCD(1, 442) = 1

GCD of 339, 639, 746, 442 is 1

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1. What is the GCD of 339, 639, 746, 442?

GCD of 339, 639, 746, 442 is 1

2. Where do I get the detailed procedure to find GCD of 339, 639, 746, 442?

You can find a detailed procedure to find GCD of 339, 639, 746, 442 on our page.

3. How to find GCD of 339, 639, 746, 442 on a calculator?

You can find the GCD of 339, 639, 746, 442 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.