GCD of 278, 684, 69 Calculator

Given Input numbers are 278, 684, 69

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

Divisors of 278

List of positive integer divisors of 278 that divides 278 without a remainder.

1, 2, 139, 278

Divisors of 684

List of positive integer divisors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

Greatest Common Divisior

We found the divisors of 278, 684, 69 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 278, 684, 69 is 1.

Therefore, GCD of numbers 278, 684, 69 is 1

Given Input Data is 278, 684, 69

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

Prime Factorization of 278 is 2 x 139

Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19

Prime Factorization of 69 is 3 x 23

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(278, 684) = 95076

GCD(278, 684) = ( 278 x 684 ) / 95076

GCD(278, 684) = 190152 / 95076

GCD(278, 684) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 69

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

LCM(2, 69) = 138

GCD(2, 69) = ( 2 x 69 ) / 138

GCD(2, 69) = 138 / 138

GCD(2, 69) = 1

GCD of 278, 684, 69 is 1

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1. What is the GCD of 278, 684, 69?

GCD of 278, 684, 69 is 1

2. Where do I get the detailed procedure to find GCD of 278, 684, 69?

You can find a detailed procedure to find GCD of 278, 684, 69 on our page.

3. How to find GCD of 278, 684, 69 on a calculator?

You can find the GCD of 278, 684, 69 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.