GCD of 675, 344, 50, 645 Calculator

Given Input numbers are 675, 344, 50, 645

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

Divisors of 675

List of positive integer divisors of 675 that divides 675 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

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 50

List of positive integer divisors of 50 that divides 50 without a remainder.

1, 2, 5, 10, 25, 50

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 675, 344, 50, 645 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 675, 344, 50, 645 is 1.

Therefore, GCD of numbers 675, 344, 50, 645 is 1

Given Input Data is 675, 344, 50, 645

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

Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5

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

Prime Factorization of 50 is 2 x 5 x 5

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(675, 344) = 232200

GCD(675, 344) = ( 675 x 344 ) / 232200

GCD(675, 344) = 232200 / 232200

GCD(675, 344) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 50

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

LCM(1, 50) = 50

GCD(1, 50) = ( 1 x 50 ) / 50

GCD(1, 50) = 50 / 50

GCD(1, 50) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 645

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

LCM(1, 645) = 645

GCD(1, 645) = ( 1 x 645 ) / 645

GCD(1, 645) = 645 / 645

GCD(1, 645) = 1

GCD of 675, 344, 50, 645 is 1

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1. What is the GCD of 675, 344, 50, 645?

GCD of 675, 344, 50, 645 is 1

2. Where do I get the detailed procedure to find GCD of 675, 344, 50, 645?

You can find a detailed procedure to find GCD of 675, 344, 50, 645 on our page.

3. How to find GCD of 675, 344, 50, 645 on a calculator?

You can find the GCD of 675, 344, 50, 645 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.