GCD of 189, 882, 24, 314 Calculator

Given Input numbers are 189, 882, 24, 314

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

Divisors of 189

List of positive integer divisors of 189 that divides 189 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 882

List of positive integer divisors of 882 that divides 882 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

Divisors of 24

List of positive integer divisors of 24 that divides 24 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24

Divisors of 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

Greatest Common Divisior

We found the divisors of 189, 882, 24, 314 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 189, 882, 24, 314 is 1.

Therefore, GCD of numbers 189, 882, 24, 314 is 1

Given Input Data is 189, 882, 24, 314

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

Prime Factorization of 189 is 3 x 3 x 3 x 7

Prime Factorization of 882 is 2 x 3 x 3 x 7 x 7

Prime Factorization of 24 is 2 x 2 x 2 x 3

Prime Factorization of 314 is 2 x 157

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(189, 882) = 2646

GCD(189, 882) = ( 189 x 882 ) / 2646

GCD(189, 882) = 166698 / 2646

GCD(189, 882) = 63

Step2:

Here we consider the GCD from the above i.e. 63 as first number and the next as 24

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

LCM(63, 24) = 504

GCD(63, 24) = ( 63 x 24 ) / 504

GCD(63, 24) = 1512 / 504

GCD(63, 24) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 314

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

LCM(3, 314) = 942

GCD(3, 314) = ( 3 x 314 ) / 942

GCD(3, 314) = 942 / 942

GCD(3, 314) = 1

GCD of 189, 882, 24, 314 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 367, 802, 66, 265
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• GCD of 322, 799, 54, 643
• GCD of 843, 850, 53, 292
• GCD of 428, 134, 63, 826

1. What is the GCD of 189, 882, 24, 314?

GCD of 189, 882, 24, 314 is 1

2. Where do I get the detailed procedure to find GCD of 189, 882, 24, 314?

You can find a detailed procedure to find GCD of 189, 882, 24, 314 on our page.

3. How to find GCD of 189, 882, 24, 314 on a calculator?

You can find the GCD of 189, 882, 24, 314 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.