GCD of 399, 564, 142, 630 Calculator

Given Input numbers are 399, 564, 142, 630

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 564

List of positive integer divisors of 564 that divides 564 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Divisors of 630

List of positive integer divisors of 630 that divides 630 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

Greatest Common Divisior

We found the divisors of 399, 564, 142, 630 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 399, 564, 142, 630 is 1.

Therefore, GCD of numbers 399, 564, 142, 630 is 1

Given Input Data is 399, 564, 142, 630

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 564 is 2 x 2 x 3 x 47

Prime Factorization of 142 is 2 x 71

Prime Factorization of 630 is 2 x 3 x 3 x 5 x 7

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, 564) = 75012

GCD(399, 564) = ( 399 x 564 ) / 75012

GCD(399, 564) = 225036 / 75012

GCD(399, 564) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 142

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

LCM(3, 142) = 426

GCD(3, 142) = ( 3 x 142 ) / 426

GCD(3, 142) = 426 / 426

GCD(3, 142) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 630

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

LCM(1, 630) = 630

GCD(1, 630) = ( 1 x 630 ) / 630

GCD(1, 630) = 630 / 630

GCD(1, 630) = 1

GCD of 399, 564, 142, 630 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 999, 346, 873, 272
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• GCD of 549, 961, 612, 210

1. What is the GCD of 399, 564, 142, 630?

GCD of 399, 564, 142, 630 is 1

2. Where do I get the detailed procedure to find GCD of 399, 564, 142, 630?

You can find a detailed procedure to find GCD of 399, 564, 142, 630 on our page.

3. How to find GCD of 399, 564, 142, 630 on a calculator?

You can find the GCD of 399, 564, 142, 630 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.