GCD of 738, 916, 856 Calculator

Given Input numbers are 738, 916, 856

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

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

Divisors of 916

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

1, 2, 4, 229, 458, 916

Divisors of 856

List of positive integer divisors of 856 that divides 856 without a remainder.

1, 2, 4, 8, 107, 214, 428, 856

Greatest Common Divisior

We found the divisors of 738, 916, 856 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 738, 916, 856 is 2.

Therefore, GCD of numbers 738, 916, 856 is 2

Given Input Data is 738, 916, 856

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

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

Prime Factorization of 916 is 2 x 2 x 229

Prime Factorization of 856 is 2 x 2 x 2 x 107

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(738, 916) = 338004

GCD(738, 916) = ( 738 x 916 ) / 338004

GCD(738, 916) = 676008 / 338004

GCD(738, 916) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 856

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

LCM(2, 856) = 856

GCD(2, 856) = ( 2 x 856 ) / 856

GCD(2, 856) = 1712 / 856

GCD(2, 856) = 2

GCD of 738, 916, 856 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 128, 249, 233
• GCD of 212, 470, 478
• GCD of 578, 674, 533
• GCD of 756, 369, 686
• GCD of 131, 291, 174

1. What is the GCD of 738, 916, 856?

GCD of 738, 916, 856 is 2

2. Where do I get the detailed procedure to find GCD of 738, 916, 856?

You can find a detailed procedure to find GCD of 738, 916, 856 on our page.

3. How to find GCD of 738, 916, 856 on a calculator?

You can find the GCD of 738, 916, 856 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.