GCD of 742, 314, 872 Calculator

Given Input numbers are 742, 314, 872

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

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

Divisors of 872

List of positive integer divisors of 872 that divides 872 without a remainder.

1, 2, 4, 8, 109, 218, 436, 872

Greatest Common Divisior

We found the divisors of 742, 314, 872 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 742, 314, 872 is 2.

Therefore, GCD of numbers 742, 314, 872 is 2

Given Input Data is 742, 314, 872

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

Prime Factorization of 742 is 2 x 7 x 53

Prime Factorization of 314 is 2 x 157

Prime Factorization of 872 is 2 x 2 x 2 x 109

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(742, 314) = 116494

GCD(742, 314) = ( 742 x 314 ) / 116494

GCD(742, 314) = 232988 / 116494

GCD(742, 314) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 872

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

LCM(2, 872) = 872

GCD(2, 872) = ( 2 x 872 ) / 872

GCD(2, 872) = 1744 / 872

GCD(2, 872) = 2

GCD of 742, 314, 872 is 2

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1. What is the GCD of 742, 314, 872?

GCD of 742, 314, 872 is 2

2. Where do I get the detailed procedure to find GCD of 742, 314, 872?

You can find a detailed procedure to find GCD of 742, 314, 872 on our page.

3. How to find GCD of 742, 314, 872 on a calculator?

You can find the GCD of 742, 314, 872 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.