GCD of 279, 914, 685 Calculator

Given Input numbers are 279, 914, 685

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

Divisors of 279

List of positive integer divisors of 279 that divides 279 without a remainder.

1, 3, 9, 31, 93, 279

Divisors of 914

List of positive integer divisors of 914 that divides 914 without a remainder.

1, 2, 457, 914

Divisors of 685

List of positive integer divisors of 685 that divides 685 without a remainder.

1, 5, 137, 685

Greatest Common Divisior

We found the divisors of 279, 914, 685 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 279, 914, 685 is 1.

Therefore, GCD of numbers 279, 914, 685 is 1

Given Input Data is 279, 914, 685

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

Prime Factorization of 279 is 3 x 3 x 31

Prime Factorization of 914 is 2 x 457

Prime Factorization of 685 is 5 x 137

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(279, 914) = 255006

GCD(279, 914) = ( 279 x 914 ) / 255006

GCD(279, 914) = 255006 / 255006

GCD(279, 914) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 685

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

LCM(1, 685) = 685

GCD(1, 685) = ( 1 x 685 ) / 685

GCD(1, 685) = 685 / 685

GCD(1, 685) = 1

GCD of 279, 914, 685 is 1

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1. What is the GCD of 279, 914, 685?

GCD of 279, 914, 685 is 1

2. Where do I get the detailed procedure to find GCD of 279, 914, 685?

You can find a detailed procedure to find GCD of 279, 914, 685 on our page.

3. How to find GCD of 279, 914, 685 on a calculator?

You can find the GCD of 279, 914, 685 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.