GCD of 384, 422, 726, 156 Calculator

Given Input numbers are 384, 422, 726, 156

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

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

Divisors of 422

List of positive integer divisors of 422 that divides 422 without a remainder.

1, 2, 211, 422

Divisors of 726

List of positive integer divisors of 726 that divides 726 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

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

Greatest Common Divisior

We found the divisors of 384, 422, 726, 156 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 384, 422, 726, 156 is 2.

Therefore, GCD of numbers 384, 422, 726, 156 is 2

Given Input Data is 384, 422, 726, 156

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

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

Prime Factorization of 422 is 2 x 211

Prime Factorization of 726 is 2 x 3 x 11 x 11

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

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(384, 422) = 81024

GCD(384, 422) = ( 384 x 422 ) / 81024

GCD(384, 422) = 162048 / 81024

GCD(384, 422) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 726

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

LCM(2, 726) = 726

GCD(2, 726) = ( 2 x 726 ) / 726

GCD(2, 726) = 1452 / 726

GCD(2, 726) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 156

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

LCM(2, 156) = 156

GCD(2, 156) = ( 2 x 156 ) / 156

GCD(2, 156) = 312 / 156

GCD(2, 156) = 2

GCD of 384, 422, 726, 156 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 227, 201, 256, 830
• GCD of 289, 908, 423, 786
• GCD of 660, 394, 321, 158
• GCD of 303, 734, 799, 124
• GCD of 755, 573, 449, 889

1. What is the GCD of 384, 422, 726, 156?

GCD of 384, 422, 726, 156 is 2

2. Where do I get the detailed procedure to find GCD of 384, 422, 726, 156?

You can find a detailed procedure to find GCD of 384, 422, 726, 156 on our page.

3. How to find GCD of 384, 422, 726, 156 on a calculator?

You can find the GCD of 384, 422, 726, 156 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.