GCD of 975, 485, 39, 205 Calculator

Given Input numbers are 975, 485, 39, 205

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

Divisors of 975

List of positive integer divisors of 975 that divides 975 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 485

List of positive integer divisors of 485 that divides 485 without a remainder.

1, 5, 97, 485

Divisors of 39

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

1, 3, 13, 39

Divisors of 205

List of positive integer divisors of 205 that divides 205 without a remainder.

1, 5, 41, 205

Greatest Common Divisior

We found the divisors of 975, 485, 39, 205 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 975, 485, 39, 205 is 1.

Therefore, GCD of numbers 975, 485, 39, 205 is 1

Given Input Data is 975, 485, 39, 205

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

Prime Factorization of 975 is 3 x 5 x 5 x 13

Prime Factorization of 485 is 5 x 97

Prime Factorization of 39 is 3 x 13

Prime Factorization of 205 is 5 x 41

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(975, 485) = 94575

GCD(975, 485) = ( 975 x 485 ) / 94575

GCD(975, 485) = 472875 / 94575

GCD(975, 485) = 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 205

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

LCM(1, 205) = 205

GCD(1, 205) = ( 1 x 205 ) / 205

GCD(1, 205) = 205 / 205

GCD(1, 205) = 1

GCD of 975, 485, 39, 205 is 1

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1. What is the GCD of 975, 485, 39, 205?

GCD of 975, 485, 39, 205 is 1

2. Where do I get the detailed procedure to find GCD of 975, 485, 39, 205?

You can find a detailed procedure to find GCD of 975, 485, 39, 205 on our page.

3. How to find GCD of 975, 485, 39, 205 on a calculator?

You can find the GCD of 975, 485, 39, 205 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.