GCD of 438, 371, 72, 132 Calculator

Given Input numbers are 438, 371, 72, 132

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

Divisors of 438

List of positive integer divisors of 438 that divides 438 without a remainder.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 371

List of positive integer divisors of 371 that divides 371 without a remainder.

1, 7, 53, 371

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

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

Divisors of 132

List of positive integer divisors of 132 that divides 132 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Greatest Common Divisior

We found the divisors of 438, 371, 72, 132 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 438, 371, 72, 132 is 1.

Therefore, GCD of numbers 438, 371, 72, 132 is 1

Given Input Data is 438, 371, 72, 132

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

Prime Factorization of 438 is 2 x 3 x 73

Prime Factorization of 371 is 7 x 53

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 132 is 2 x 2 x 3 x 11

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(438, 371) = 162498

GCD(438, 371) = ( 438 x 371 ) / 162498

GCD(438, 371) = 162498 / 162498

GCD(438, 371) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 72

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

LCM(1, 72) = 72

GCD(1, 72) = ( 1 x 72 ) / 72

GCD(1, 72) = 72 / 72

GCD(1, 72) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 132

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

LCM(1, 132) = 132

GCD(1, 132) = ( 1 x 132 ) / 132

GCD(1, 132) = 132 / 132

GCD(1, 132) = 1

GCD of 438, 371, 72, 132 is 1

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• GCD of 724, 829, 35, 565
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• GCD of 264, 440, 69, 286

1. What is the GCD of 438, 371, 72, 132?

GCD of 438, 371, 72, 132 is 1

2. Where do I get the detailed procedure to find GCD of 438, 371, 72, 132?

You can find a detailed procedure to find GCD of 438, 371, 72, 132 on our page.

3. How to find GCD of 438, 371, 72, 132 on a calculator?

You can find the GCD of 438, 371, 72, 132 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.