GCD of 102, 232, 80, 361 Calculator

Given Input numbers are 102, 232, 80, 361

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

Divisors of 102

List of positive integer divisors of 102 that divides 102 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102

Divisors of 232

List of positive integer divisors of 232 that divides 232 without a remainder.

1, 2, 4, 8, 29, 58, 116, 232

Divisors of 80

List of positive integer divisors of 80 that divides 80 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80

Divisors of 361

List of positive integer divisors of 361 that divides 361 without a remainder.

1, 19, 361

Greatest Common Divisior

We found the divisors of 102, 232, 80, 361 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 102, 232, 80, 361 is 1.

Therefore, GCD of numbers 102, 232, 80, 361 is 1

Given Input Data is 102, 232, 80, 361

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

Prime Factorization of 102 is 2 x 3 x 17

Prime Factorization of 232 is 2 x 2 x 2 x 29

Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5

Prime Factorization of 361 is 19 x 19

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(102, 232) = 11832

GCD(102, 232) = ( 102 x 232 ) / 11832

GCD(102, 232) = 23664 / 11832

GCD(102, 232) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 80

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

LCM(2, 80) = 80

GCD(2, 80) = ( 2 x 80 ) / 80

GCD(2, 80) = 160 / 80

GCD(2, 80) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 361

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

LCM(2, 361) = 722

GCD(2, 361) = ( 2 x 361 ) / 722

GCD(2, 361) = 722 / 722

GCD(2, 361) = 1

GCD of 102, 232, 80, 361 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 178, 405, 85, 233
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• GCD of 412, 761, 65, 779
• GCD of 566, 591, 57, 437
• GCD of 311, 836, 14, 174

1. What is the GCD of 102, 232, 80, 361?

GCD of 102, 232, 80, 361 is 1

2. Where do I get the detailed procedure to find GCD of 102, 232, 80, 361?

You can find a detailed procedure to find GCD of 102, 232, 80, 361 on our page.

3. How to find GCD of 102, 232, 80, 361 on a calculator?

You can find the GCD of 102, 232, 80, 361 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.