GCD of 742, 844, 308 Calculator

Given Input numbers are 742, 844, 308

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 844

List of positive integer divisors of 844 that divides 844 without a remainder.

1, 2, 4, 211, 422, 844

Divisors of 308

List of positive integer divisors of 308 that divides 308 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Greatest Common Divisior

We found the divisors of 742, 844, 308 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 742, 844, 308 is 2.

Therefore, GCD of numbers 742, 844, 308 is 2

Given Input Data is 742, 844, 308

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 844 is 2 x 2 x 211

Prime Factorization of 308 is 2 x 2 x 7 x 11

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, 844) = 313124

GCD(742, 844) = ( 742 x 844 ) / 313124

GCD(742, 844) = 626248 / 313124

GCD(742, 844) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 308

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

LCM(2, 308) = 308

GCD(2, 308) = ( 2 x 308 ) / 308

GCD(2, 308) = 616 / 308

GCD(2, 308) = 2

GCD of 742, 844, 308 is 2

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1. What is the GCD of 742, 844, 308?

GCD of 742, 844, 308 is 2

2. Where do I get the detailed procedure to find GCD of 742, 844, 308?

You can find a detailed procedure to find GCD of 742, 844, 308 on our page.

3. How to find GCD of 742, 844, 308 on a calculator?

You can find the GCD of 742, 844, 308 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.