GCD of 156, 238, 475, 738 Calculator

Given Input numbers are 156, 238, 475, 738

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 238

List of positive integer divisors of 238 that divides 238 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238

Divisors of 475

List of positive integer divisors of 475 that divides 475 without a remainder.

1, 5, 19, 25, 95, 475

Divisors of 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Greatest Common Divisior

We found the divisors of 156, 238, 475, 738 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 156, 238, 475, 738 is 1.

Therefore, GCD of numbers 156, 238, 475, 738 is 1

Given Input Data is 156, 238, 475, 738

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 238 is 2 x 7 x 17

Prime Factorization of 475 is 5 x 5 x 19

Prime Factorization of 738 is 2 x 3 x 3 x 41

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(156, 238) = 18564

GCD(156, 238) = ( 156 x 238 ) / 18564

GCD(156, 238) = 37128 / 18564

GCD(156, 238) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 475

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

LCM(2, 475) = 950

GCD(2, 475) = ( 2 x 475 ) / 950

GCD(2, 475) = 950 / 950

GCD(2, 475) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 738

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

LCM(1, 738) = 738

GCD(1, 738) = ( 1 x 738 ) / 738

GCD(1, 738) = 738 / 738

GCD(1, 738) = 1

GCD of 156, 238, 475, 738 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 530, 880, 677, 449
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• GCD of 305, 368, 126, 474

1. What is the GCD of 156, 238, 475, 738?

GCD of 156, 238, 475, 738 is 1

2. Where do I get the detailed procedure to find GCD of 156, 238, 475, 738?

You can find a detailed procedure to find GCD of 156, 238, 475, 738 on our page.

3. How to find GCD of 156, 238, 475, 738 on a calculator?

You can find the GCD of 156, 238, 475, 738 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.