GCD of 688, 626, 60 Calculator

Given Input numbers are 688, 626, 60

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

Divisors of 688

List of positive integer divisors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 626

List of positive integer divisors of 626 that divides 626 without a remainder.

1, 2, 313, 626

Divisors of 60

List of positive integer divisors of 60 that divides 60 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Greatest Common Divisior

We found the divisors of 688, 626, 60 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 688, 626, 60 is 2.

Therefore, GCD of numbers 688, 626, 60 is 2

Given Input Data is 688, 626, 60

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

Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43

Prime Factorization of 626 is 2 x 313

Prime Factorization of 60 is 2 x 2 x 3 x 5

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(688, 626) = 215344

GCD(688, 626) = ( 688 x 626 ) / 215344

GCD(688, 626) = 430688 / 215344

GCD(688, 626) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 60

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

LCM(2, 60) = 60

GCD(2, 60) = ( 2 x 60 ) / 60

GCD(2, 60) = 120 / 60

GCD(2, 60) = 2

GCD of 688, 626, 60 is 2

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1. What is the GCD of 688, 626, 60?

GCD of 688, 626, 60 is 2

2. Where do I get the detailed procedure to find GCD of 688, 626, 60?

You can find a detailed procedure to find GCD of 688, 626, 60 on our page.

3. How to find GCD of 688, 626, 60 on a calculator?

You can find the GCD of 688, 626, 60 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.