GCD of 344, 645, 377, 678 Calculator

Given Input numbers are 344, 645, 377, 678

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

Divisors of 344

List of positive integer divisors of 344 that divides 344 without a remainder.

1, 2, 4, 8, 43, 86, 172, 344

Divisors of 645

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

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

Divisors of 377

List of positive integer divisors of 377 that divides 377 without a remainder.

1, 13, 29, 377

Divisors of 678

List of positive integer divisors of 678 that divides 678 without a remainder.

1, 2, 3, 6, 113, 226, 339, 678

Greatest Common Divisior

We found the divisors of 344, 645, 377, 678 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 344, 645, 377, 678 is 1.

Therefore, GCD of numbers 344, 645, 377, 678 is 1

Given Input Data is 344, 645, 377, 678

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

Prime Factorization of 344 is 2 x 2 x 2 x 43

Prime Factorization of 645 is 3 x 5 x 43

Prime Factorization of 377 is 13 x 29

Prime Factorization of 678 is 2 x 3 x 113

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(344, 645) = 5160

GCD(344, 645) = ( 344 x 645 ) / 5160

GCD(344, 645) = 221880 / 5160

GCD(344, 645) = 43

Step2:

Here we consider the GCD from the above i.e. 43 as first number and the next as 377

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

LCM(43, 377) = 16211

GCD(43, 377) = ( 43 x 377 ) / 16211

GCD(43, 377) = 16211 / 16211

GCD(43, 377) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 678

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

LCM(1, 678) = 678

GCD(1, 678) = ( 1 x 678 ) / 678

GCD(1, 678) = 678 / 678

GCD(1, 678) = 1

GCD of 344, 645, 377, 678 is 1

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1. What is the GCD of 344, 645, 377, 678?

GCD of 344, 645, 377, 678 is 1

2. Where do I get the detailed procedure to find GCD of 344, 645, 377, 678?

You can find a detailed procedure to find GCD of 344, 645, 377, 678 on our page.

3. How to find GCD of 344, 645, 377, 678 on a calculator?

You can find the GCD of 344, 645, 377, 678 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.