GCD of 368, 376, 180, 311 Calculator

Given Input numbers are 368, 376, 180, 311

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

Divisors of 368

List of positive integer divisors of 368 that divides 368 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

Divisors of 376

List of positive integer divisors of 376 that divides 376 without a remainder.

1, 2, 4, 8, 47, 94, 188, 376

Divisors of 180

List of positive integer divisors of 180 that divides 180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 311

List of positive integer divisors of 311 that divides 311 without a remainder.

1, 311

Greatest Common Divisior

We found the divisors of 368, 376, 180, 311 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 368, 376, 180, 311 is 1.

Therefore, GCD of numbers 368, 376, 180, 311 is 1

Given Input Data is 368, 376, 180, 311

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

Prime Factorization of 368 is 2 x 2 x 2 x 2 x 23

Prime Factorization of 376 is 2 x 2 x 2 x 47

Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5

Prime Factorization of 311 is 311

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(368, 376) = 17296

GCD(368, 376) = ( 368 x 376 ) / 17296

GCD(368, 376) = 138368 / 17296

GCD(368, 376) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 180

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

LCM(8, 180) = 360

GCD(8, 180) = ( 8 x 180 ) / 360

GCD(8, 180) = 1440 / 360

GCD(8, 180) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 311

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

LCM(4, 311) = 1244

GCD(4, 311) = ( 4 x 311 ) / 1244

GCD(4, 311) = 1244 / 1244

GCD(4, 311) = 1

GCD of 368, 376, 180, 311 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 273, 359, 684, 308
• GCD of 221, 502, 311, 757
• GCD of 231, 222, 828, 547
• GCD of 743, 840, 974, 306
• GCD of 205, 305, 713, 116

1. What is the GCD of 368, 376, 180, 311?

GCD of 368, 376, 180, 311 is 1

2. Where do I get the detailed procedure to find GCD of 368, 376, 180, 311?

You can find a detailed procedure to find GCD of 368, 376, 180, 311 on our page.

3. How to find GCD of 368, 376, 180, 311 on a calculator?

You can find the GCD of 368, 376, 180, 311 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.