GCD of 399, 515, 42, 975 Calculator

Given Input numbers are 399, 515, 42, 975

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

Divisors of 399

List of positive integer divisors of 399 that divides 399 without a remainder.

1, 3, 7, 19, 21, 57, 133, 399

Divisors of 515

List of positive integer divisors of 515 that divides 515 without a remainder.

1, 5, 103, 515

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

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

Greatest Common Divisior

We found the divisors of 399, 515, 42, 975 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 399, 515, 42, 975 is 1.

Therefore, GCD of numbers 399, 515, 42, 975 is 1

Given Input Data is 399, 515, 42, 975

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

Prime Factorization of 399 is 3 x 7 x 19

Prime Factorization of 515 is 5 x 103

Prime Factorization of 42 is 2 x 3 x 7

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

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(399, 515) = 205485

GCD(399, 515) = ( 399 x 515 ) / 205485

GCD(399, 515) = 205485 / 205485

GCD(399, 515) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 42

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

LCM(1, 42) = 42

GCD(1, 42) = ( 1 x 42 ) / 42

GCD(1, 42) = 42 / 42

GCD(1, 42) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 975

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

LCM(1, 975) = 975

GCD(1, 975) = ( 1 x 975 ) / 975

GCD(1, 975) = 975 / 975

GCD(1, 975) = 1

GCD of 399, 515, 42, 975 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 115, 597, 65, 243
• GCD of 864, 495, 41, 737
• GCD of 853, 884, 44, 879
• GCD of 954, 858, 48, 609
• GCD of 254, 132, 59, 230

1. What is the GCD of 399, 515, 42, 975?

GCD of 399, 515, 42, 975 is 1

2. Where do I get the detailed procedure to find GCD of 399, 515, 42, 975?

You can find a detailed procedure to find GCD of 399, 515, 42, 975 on our page.

3. How to find GCD of 399, 515, 42, 975 on a calculator?

You can find the GCD of 399, 515, 42, 975 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.