GCD of 867, 280, 314 Calculator

Given Input numbers are 867, 280, 314

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

Divisors of 867

List of positive integer divisors of 867 that divides 867 without a remainder.

1, 3, 17, 51, 289, 867

Divisors of 280

List of positive integer divisors of 280 that divides 280 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

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 867, 280, 314 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 867, 280, 314 is 1.

Therefore, GCD of numbers 867, 280, 314 is 1

Given Input Data is 867, 280, 314

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

Prime Factorization of 867 is 3 x 17 x 17

Prime Factorization of 280 is 2 x 2 x 2 x 5 x 7

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(867, 280) = 242760

GCD(867, 280) = ( 867 x 280 ) / 242760

GCD(867, 280) = 242760 / 242760

GCD(867, 280) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 314

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

LCM(1, 314) = 314

GCD(1, 314) = ( 1 x 314 ) / 314

GCD(1, 314) = 314 / 314

GCD(1, 314) = 1

GCD of 867, 280, 314 is 1

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1. What is the GCD of 867, 280, 314?

GCD of 867, 280, 314 is 1

2. Where do I get the detailed procedure to find GCD of 867, 280, 314?

You can find a detailed procedure to find GCD of 867, 280, 314 on our page.

3. How to find GCD of 867, 280, 314 on a calculator?

You can find the GCD of 867, 280, 314 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.