GCD of 238, 765, 80, 311 Calculator

Given Input numbers are 238, 765, 80, 311

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

Divisors of 238

List of positive integer divisors of 238 that divides 238 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238

Divisors of 765

List of positive integer divisors of 765 that divides 765 without a remainder.

1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

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 311

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

1, 311

Greatest Common Divisior

We found the divisors of 238, 765, 80, 311 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 238, 765, 80, 311 is 1.

Therefore, GCD of numbers 238, 765, 80, 311 is 1

Given Input Data is 238, 765, 80, 311

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

Prime Factorization of 238 is 2 x 7 x 17

Prime Factorization of 765 is 3 x 3 x 5 x 17

Prime Factorization of 80 is 2 x 2 x 2 x 2 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(238, 765) = 10710

GCD(238, 765) = ( 238 x 765 ) / 10710

GCD(238, 765) = 182070 / 10710

GCD(238, 765) = 17

Step2:

Here we consider the GCD from the above i.e. 17 as first number and the next as 80

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

LCM(17, 80) = 1360

GCD(17, 80) = ( 17 x 80 ) / 1360

GCD(17, 80) = 1360 / 1360

GCD(17, 80) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 311

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

LCM(1, 311) = 311

GCD(1, 311) = ( 1 x 311 ) / 311

GCD(1, 311) = 311 / 311

GCD(1, 311) = 1

GCD of 238, 765, 80, 311 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 810, 993, 34, 997
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• GCD of 807, 575, 47, 549

1. What is the GCD of 238, 765, 80, 311?

GCD of 238, 765, 80, 311 is 1

2. Where do I get the detailed procedure to find GCD of 238, 765, 80, 311?

You can find a detailed procedure to find GCD of 238, 765, 80, 311 on our page.

3. How to find GCD of 238, 765, 80, 311 on a calculator?

You can find the GCD of 238, 765, 80, 311 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.