GCD of 156, 630, 76, 384 Calculator

Given Input numbers are 156, 630, 76, 384

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

Divisors of 156

List of positive integer divisors of 156 that divides 156 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

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

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

Divisors of 384

List of positive integer divisors of 384 that divides 384 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Greatest Common Divisior

We found the divisors of 156, 630, 76, 384 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 156, 630, 76, 384 is 2.

Therefore, GCD of numbers 156, 630, 76, 384 is 2

Given Input Data is 156, 630, 76, 384

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

Prime Factorization of 156 is 2 x 2 x 3 x 13

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

Prime Factorization of 76 is 2 x 2 x 19

Prime Factorization of 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

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(156, 630) = 16380

GCD(156, 630) = ( 156 x 630 ) / 16380

GCD(156, 630) = 98280 / 16380

GCD(156, 630) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 76

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

LCM(6, 76) = 228

GCD(6, 76) = ( 6 x 76 ) / 228

GCD(6, 76) = 456 / 228

GCD(6, 76) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 384

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

LCM(2, 384) = 384

GCD(2, 384) = ( 2 x 384 ) / 384

GCD(2, 384) = 768 / 384

GCD(2, 384) = 2

GCD of 156, 630, 76, 384 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 267, 763, 42, 542
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• GCD of 408, 304, 19, 818

1. What is the GCD of 156, 630, 76, 384?

GCD of 156, 630, 76, 384 is 2

2. Where do I get the detailed procedure to find GCD of 156, 630, 76, 384?

You can find a detailed procedure to find GCD of 156, 630, 76, 384 on our page.

3. How to find GCD of 156, 630, 76, 384 on a calculator?

You can find the GCD of 156, 630, 76, 384 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.