GCD of 916, 174, 738 Calculator

Given Input numbers are 916, 174, 738

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

Divisors of 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

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 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Greatest Common Divisior

We found the divisors of 916, 174, 738 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 916, 174, 738 is 2.

Therefore, GCD of numbers 916, 174, 738 is 2

Given Input Data is 916, 174, 738

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

Prime Factorization of 916 is 2 x 2 x 229

Prime Factorization of 174 is 2 x 3 x 29

Prime Factorization of 738 is 2 x 3 x 3 x 41

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(916, 174) = 79692

GCD(916, 174) = ( 916 x 174 ) / 79692

GCD(916, 174) = 159384 / 79692

GCD(916, 174) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 738

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

LCM(2, 738) = 738

GCD(2, 738) = ( 2 x 738 ) / 738

GCD(2, 738) = 1476 / 738

GCD(2, 738) = 2

GCD of 916, 174, 738 is 2

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1. What is the GCD of 916, 174, 738?

GCD of 916, 174, 738 is 2

2. Where do I get the detailed procedure to find GCD of 916, 174, 738?

You can find a detailed procedure to find GCD of 916, 174, 738 on our page.

3. How to find GCD of 916, 174, 738 on a calculator?

You can find the GCD of 916, 174, 738 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.