GCD of 575, 935, 39, 628 Calculator

Given Input numbers are 575, 935, 39, 628

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

Divisors of 575

List of positive integer divisors of 575 that divides 575 without a remainder.

1, 5, 23, 25, 115, 575

Divisors of 935

List of positive integer divisors of 935 that divides 935 without a remainder.

1, 5, 11, 17, 55, 85, 187, 935

Divisors of 39

List of positive integer divisors of 39 that divides 39 without a remainder.

1, 3, 13, 39

Divisors of 628

List of positive integer divisors of 628 that divides 628 without a remainder.

1, 2, 4, 157, 314, 628

Greatest Common Divisior

We found the divisors of 575, 935, 39, 628 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 575, 935, 39, 628 is 1.

Therefore, GCD of numbers 575, 935, 39, 628 is 1

Given Input Data is 575, 935, 39, 628

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

Prime Factorization of 575 is 5 x 5 x 23

Prime Factorization of 935 is 5 x 11 x 17

Prime Factorization of 39 is 3 x 13

Prime Factorization of 628 is 2 x 2 x 157

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(575, 935) = 107525

GCD(575, 935) = ( 575 x 935 ) / 107525

GCD(575, 935) = 537625 / 107525

GCD(575, 935) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 39

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

LCM(5, 39) = 195

GCD(5, 39) = ( 5 x 39 ) / 195

GCD(5, 39) = 195 / 195

GCD(5, 39) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 628

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

LCM(1, 628) = 628

GCD(1, 628) = ( 1 x 628 ) / 628

GCD(1, 628) = 628 / 628

GCD(1, 628) = 1

GCD of 575, 935, 39, 628 is 1

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1. What is the GCD of 575, 935, 39, 628?

GCD of 575, 935, 39, 628 is 1

2. Where do I get the detailed procedure to find GCD of 575, 935, 39, 628?

You can find a detailed procedure to find GCD of 575, 935, 39, 628 on our page.

3. How to find GCD of 575, 935, 39, 628 on a calculator?

You can find the GCD of 575, 935, 39, 628 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.