GCD of 466, 686, 628 Calculator

Given Input numbers are 466, 686, 628

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

Divisors of 466

List of positive integer divisors of 466 that divides 466 without a remainder.

1, 2, 233, 466

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 628

List of positive integer divisors of 628 that divides 628 without a remainder.

1, 2, 4, 157, 314, 628

Greatest Common Divisior

We found the divisors of 466, 686, 628 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 466, 686, 628 is 2.

Therefore, GCD of numbers 466, 686, 628 is 2

Given Input Data is 466, 686, 628

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

Prime Factorization of 466 is 2 x 233

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

Prime Factorization of 628 is 2 x 2 x 157

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(466, 686) = 159838

GCD(466, 686) = ( 466 x 686 ) / 159838

GCD(466, 686) = 319676 / 159838

GCD(466, 686) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 628

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

LCM(2, 628) = 628

GCD(2, 628) = ( 2 x 628 ) / 628

GCD(2, 628) = 1256 / 628

GCD(2, 628) = 2

GCD of 466, 686, 628 is 2

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1. What is the GCD of 466, 686, 628?

GCD of 466, 686, 628 is 2

2. Where do I get the detailed procedure to find GCD of 466, 686, 628?

You can find a detailed procedure to find GCD of 466, 686, 628 on our page.

3. How to find GCD of 466, 686, 628 on a calculator?

You can find the GCD of 466, 686, 628 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.