GCD of 38, 894, 144, 630 Calculator

Given Input numbers are 38, 894, 144, 630

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

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Divisors of 894

List of positive integer divisors of 894 that divides 894 without a remainder.

1, 2, 3, 6, 149, 298, 447, 894

Divisors of 144

List of positive integer divisors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

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 38, 894, 144, 630 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 38, 894, 144, 630 is 2.

Therefore, GCD of numbers 38, 894, 144, 630 is 2

Given Input Data is 38, 894, 144, 630

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

Prime Factorization of 38 is 2 x 19

Prime Factorization of 894 is 2 x 3 x 149

Prime Factorization of 144 is 2 x 2 x 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(38, 894) = 16986

GCD(38, 894) = ( 38 x 894 ) / 16986

GCD(38, 894) = 33972 / 16986

GCD(38, 894) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 144

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

LCM(2, 144) = 144

GCD(2, 144) = ( 2 x 144 ) / 144

GCD(2, 144) = 288 / 144

GCD(2, 144) = 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 38, 894, 144, 630 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 85, 993, 139, 642
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• GCD of 29, 852, 441, 545
• GCD of 19, 831, 114, 837

1. What is the GCD of 38, 894, 144, 630?

GCD of 38, 894, 144, 630 is 2

2. Where do I get the detailed procedure to find GCD of 38, 894, 144, 630?

You can find a detailed procedure to find GCD of 38, 894, 144, 630 on our page.

3. How to find GCD of 38, 894, 144, 630 on a calculator?

You can find the GCD of 38, 894, 144, 630 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.