GCD of 126, 188, 319, 272 Calculator

Given Input numbers are 126, 188, 319, 272

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

Divisors of 126

List of positive integer divisors of 126 that divides 126 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Divisors of 188

List of positive integer divisors of 188 that divides 188 without a remainder.

1, 2, 4, 47, 94, 188

Divisors of 319

List of positive integer divisors of 319 that divides 319 without a remainder.

1, 11, 29, 319

Divisors of 272

List of positive integer divisors of 272 that divides 272 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Greatest Common Divisior

We found the divisors of 126, 188, 319, 272 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 126, 188, 319, 272 is 1.

Therefore, GCD of numbers 126, 188, 319, 272 is 1

Given Input Data is 126, 188, 319, 272

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

Prime Factorization of 126 is 2 x 3 x 3 x 7

Prime Factorization of 188 is 2 x 2 x 47

Prime Factorization of 319 is 11 x 29

Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17

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(126, 188) = 11844

GCD(126, 188) = ( 126 x 188 ) / 11844

GCD(126, 188) = 23688 / 11844

GCD(126, 188) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 319

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

LCM(2, 319) = 638

GCD(2, 319) = ( 2 x 319 ) / 638

GCD(2, 319) = 638 / 638

GCD(2, 319) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 272

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

LCM(1, 272) = 272

GCD(1, 272) = ( 1 x 272 ) / 272

GCD(1, 272) = 272 / 272

GCD(1, 272) = 1

GCD of 126, 188, 319, 272 is 1

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1. What is the GCD of 126, 188, 319, 272?

GCD of 126, 188, 319, 272 is 1

2. Where do I get the detailed procedure to find GCD of 126, 188, 319, 272?

You can find a detailed procedure to find GCD of 126, 188, 319, 272 on our page.

3. How to find GCD of 126, 188, 319, 272 on a calculator?

You can find the GCD of 126, 188, 319, 272 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.