GCD of 686, 526, 282 Calculator

Given Input numbers are 686, 526, 282

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

Divisors of 686

List of positive integer divisors of 686 that divides 686 without a remainder.

1, 2, 7, 14, 49, 98, 343, 686

Divisors of 526

List of positive integer divisors of 526 that divides 526 without a remainder.

1, 2, 263, 526

Divisors of 282

List of positive integer divisors of 282 that divides 282 without a remainder.

1, 2, 3, 6, 47, 94, 141, 282

Greatest Common Divisior

We found the divisors of 686, 526, 282 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 686, 526, 282 is 2.

Therefore, GCD of numbers 686, 526, 282 is 2

Given Input Data is 686, 526, 282

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

Prime Factorization of 686 is 2 x 7 x 7 x 7

Prime Factorization of 526 is 2 x 263

Prime Factorization of 282 is 2 x 3 x 47

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(686, 526) = 180418

GCD(686, 526) = ( 686 x 526 ) / 180418

GCD(686, 526) = 360836 / 180418

GCD(686, 526) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 282

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

LCM(2, 282) = 282

GCD(2, 282) = ( 2 x 282 ) / 282

GCD(2, 282) = 564 / 282

GCD(2, 282) = 2

GCD of 686, 526, 282 is 2

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1. What is the GCD of 686, 526, 282?

GCD of 686, 526, 282 is 2

2. Where do I get the detailed procedure to find GCD of 686, 526, 282?

You can find a detailed procedure to find GCD of 686, 526, 282 on our page.

3. How to find GCD of 686, 526, 282 on a calculator?

You can find the GCD of 686, 526, 282 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.