GCD of 252, 188, 297, 319 Calculator

Given Input numbers are 252, 188, 297, 319

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

Divisors of 252

List of positive integer divisors of 252 that divides 252 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Divisors of 188

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

1, 2, 4, 47, 94, 188

Divisors of 297

List of positive integer divisors of 297 that divides 297 without a remainder.

1, 3, 9, 11, 27, 33, 99, 297

Divisors of 319

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

1, 11, 29, 319

Greatest Common Divisior

We found the divisors of 252, 188, 297, 319 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 252, 188, 297, 319 is 1.

Therefore, GCD of numbers 252, 188, 297, 319 is 1

Given Input Data is 252, 188, 297, 319

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

Prime Factorization of 252 is 2 x 2 x 3 x 3 x 7

Prime Factorization of 188 is 2 x 2 x 47

Prime Factorization of 297 is 3 x 3 x 3 x 11

Prime Factorization of 319 is 11 x 29

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(252, 188) = 11844

GCD(252, 188) = ( 252 x 188 ) / 11844

GCD(252, 188) = 47376 / 11844

GCD(252, 188) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 297

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

LCM(4, 297) = 1188

GCD(4, 297) = ( 4 x 297 ) / 1188

GCD(4, 297) = 1188 / 1188

GCD(4, 297) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 319

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

LCM(1, 319) = 319

GCD(1, 319) = ( 1 x 319 ) / 319

GCD(1, 319) = 319 / 319

GCD(1, 319) = 1

GCD of 252, 188, 297, 319 is 1

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• GCD of 381, 217, 568, 617
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1. What is the GCD of 252, 188, 297, 319?

GCD of 252, 188, 297, 319 is 1

2. Where do I get the detailed procedure to find GCD of 252, 188, 297, 319?

You can find a detailed procedure to find GCD of 252, 188, 297, 319 on our page.

3. How to find GCD of 252, 188, 297, 319 on a calculator?

You can find the GCD of 252, 188, 297, 319 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.