GCD of 638, 712, 36, 630 Calculator

Given Input numbers are 638, 712, 36, 630

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

Divisors of 638

List of positive integer divisors of 638 that divides 638 without a remainder.

1, 2, 11, 22, 29, 58, 319, 638

Divisors of 712

List of positive integer divisors of 712 that divides 712 without a remainder.

1, 2, 4, 8, 89, 178, 356, 712

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

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 638, 712, 36, 630 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 638, 712, 36, 630 is 2.

Therefore, GCD of numbers 638, 712, 36, 630 is 2

Given Input Data is 638, 712, 36, 630

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

Prime Factorization of 638 is 2 x 11 x 29

Prime Factorization of 712 is 2 x 2 x 2 x 89

Prime Factorization of 36 is 2 x 2 x 3 x 3

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

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(638, 712) = 227128

GCD(638, 712) = ( 638 x 712 ) / 227128

GCD(638, 712) = 454256 / 227128

GCD(638, 712) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 36

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

LCM(2, 36) = 36

GCD(2, 36) = ( 2 x 36 ) / 36

GCD(2, 36) = 72 / 36

GCD(2, 36) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 630

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

LCM(2, 630) = 630

GCD(2, 630) = ( 2 x 630 ) / 630

GCD(2, 630) = 1260 / 630

GCD(2, 630) = 2

GCD of 638, 712, 36, 630 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 393, 894, 27, 846
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• GCD of 980, 288, 26, 429

1. What is the GCD of 638, 712, 36, 630?

GCD of 638, 712, 36, 630 is 2

2. Where do I get the detailed procedure to find GCD of 638, 712, 36, 630?

You can find a detailed procedure to find GCD of 638, 712, 36, 630 on our page.

3. How to find GCD of 638, 712, 36, 630 on a calculator?

You can find the GCD of 638, 712, 36, 630 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.