GCD of 174, 380, 688 Calculator

Given Input numbers are 174, 380, 688

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

Divisors of 174

List of positive integer divisors of 174 that divides 174 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174

Divisors of 380

List of positive integer divisors of 380 that divides 380 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

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

Greatest Common Divisior

We found the divisors of 174, 380, 688 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 174, 380, 688 is 2.

Therefore, GCD of numbers 174, 380, 688 is 2

Given Input Data is 174, 380, 688

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

Prime Factorization of 174 is 2 x 3 x 29

Prime Factorization of 380 is 2 x 2 x 5 x 19

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

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(174, 380) = 33060

GCD(174, 380) = ( 174 x 380 ) / 33060

GCD(174, 380) = 66120 / 33060

GCD(174, 380) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 688

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

LCM(2, 688) = 688

GCD(2, 688) = ( 2 x 688 ) / 688

GCD(2, 688) = 1376 / 688

GCD(2, 688) = 2

GCD of 174, 380, 688 is 2

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1. What is the GCD of 174, 380, 688?

GCD of 174, 380, 688 is 2

2. Where do I get the detailed procedure to find GCD of 174, 380, 688?

You can find a detailed procedure to find GCD of 174, 380, 688 on our page.

3. How to find GCD of 174, 380, 688 on a calculator?

You can find the GCD of 174, 380, 688 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.