GCD of 894, 350, 744 Calculator

Given Input numbers are 894, 350, 744

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

Divisors of 894

List of positive integer divisors of 894 that divides 894 without a remainder.

1, 2, 3, 6, 149, 298, 447, 894

Divisors of 350

List of positive integer divisors of 350 that divides 350 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Divisors of 744

List of positive integer divisors of 744 that divides 744 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Greatest Common Divisior

We found the divisors of 894, 350, 744 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 894, 350, 744 is 2.

Therefore, GCD of numbers 894, 350, 744 is 2

Given Input Data is 894, 350, 744

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

Prime Factorization of 894 is 2 x 3 x 149

Prime Factorization of 350 is 2 x 5 x 5 x 7

Prime Factorization of 744 is 2 x 2 x 2 x 3 x 31

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(894, 350) = 156450

GCD(894, 350) = ( 894 x 350 ) / 156450

GCD(894, 350) = 312900 / 156450

GCD(894, 350) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 744

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

LCM(2, 744) = 744

GCD(2, 744) = ( 2 x 744 ) / 744

GCD(2, 744) = 1488 / 744

GCD(2, 744) = 2

GCD of 894, 350, 744 is 2

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1. What is the GCD of 894, 350, 744?

GCD of 894, 350, 744 is 2

2. Where do I get the detailed procedure to find GCD of 894, 350, 744?

You can find a detailed procedure to find GCD of 894, 350, 744 on our page.

3. How to find GCD of 894, 350, 744 on a calculator?

You can find the GCD of 894, 350, 744 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.