GCD of 472, 562, 686 Calculator

Given Input numbers are 472, 562, 686

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

Divisors of 472

List of positive integer divisors of 472 that divides 472 without a remainder.

1, 2, 4, 8, 59, 118, 236, 472

Divisors of 562

List of positive integer divisors of 562 that divides 562 without a remainder.

1, 2, 281, 562

Divisors of 686

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

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

Greatest Common Divisior

We found the divisors of 472, 562, 686 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 472, 562, 686 is 2.

Therefore, GCD of numbers 472, 562, 686 is 2

Given Input Data is 472, 562, 686

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

Prime Factorization of 472 is 2 x 2 x 2 x 59

Prime Factorization of 562 is 2 x 281

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

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(472, 562) = 132632

GCD(472, 562) = ( 472 x 562 ) / 132632

GCD(472, 562) = 265264 / 132632

GCD(472, 562) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 686

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

LCM(2, 686) = 686

GCD(2, 686) = ( 2 x 686 ) / 686

GCD(2, 686) = 1372 / 686

GCD(2, 686) = 2

GCD of 472, 562, 686 is 2

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1. What is the GCD of 472, 562, 686?

GCD of 472, 562, 686 is 2

2. Where do I get the detailed procedure to find GCD of 472, 562, 686?

You can find a detailed procedure to find GCD of 472, 562, 686 on our page.

3. How to find GCD of 472, 562, 686 on a calculator?

You can find the GCD of 472, 562, 686 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.