GCD of 614, 658, 628 Calculator

Given Input numbers are 614, 658, 628

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

Divisors of 614

List of positive integer divisors of 614 that divides 614 without a remainder.

1, 2, 307, 614

Divisors of 658

List of positive integer divisors of 658 that divides 658 without a remainder.

1, 2, 7, 14, 47, 94, 329, 658

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 614, 658, 628 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 614, 658, 628 is 2.

Therefore, GCD of numbers 614, 658, 628 is 2

Given Input Data is 614, 658, 628

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

Prime Factorization of 614 is 2 x 307

Prime Factorization of 658 is 2 x 7 x 47

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(614, 658) = 202006

GCD(614, 658) = ( 614 x 658 ) / 202006

GCD(614, 658) = 404012 / 202006

GCD(614, 658) = 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 614, 658, 628 is 2

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1. What is the GCD of 614, 658, 628?

GCD of 614, 658, 628 is 2

2. Where do I get the detailed procedure to find GCD of 614, 658, 628?

You can find a detailed procedure to find GCD of 614, 658, 628 on our page.

3. How to find GCD of 614, 658, 628 on a calculator?

You can find the GCD of 614, 658, 628 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.