GCD of 792, 674, 736 Calculator

Given Input numbers are 792, 674, 736

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

Divisors of 792

List of positive integer divisors of 792 that divides 792 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

Divisors of 674

List of positive integer divisors of 674 that divides 674 without a remainder.

1, 2, 337, 674

Divisors of 736

List of positive integer divisors of 736 that divides 736 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Greatest Common Divisior

We found the divisors of 792, 674, 736 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 792, 674, 736 is 2.

Therefore, GCD of numbers 792, 674, 736 is 2

Given Input Data is 792, 674, 736

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

Prime Factorization of 792 is 2 x 2 x 2 x 3 x 3 x 11

Prime Factorization of 674 is 2 x 337

Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23

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(792, 674) = 266904

GCD(792, 674) = ( 792 x 674 ) / 266904

GCD(792, 674) = 533808 / 266904

GCD(792, 674) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 736

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

LCM(2, 736) = 736

GCD(2, 736) = ( 2 x 736 ) / 736

GCD(2, 736) = 1472 / 736

GCD(2, 736) = 2

GCD of 792, 674, 736 is 2

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1. What is the GCD of 792, 674, 736?

GCD of 792, 674, 736 is 2

2. Where do I get the detailed procedure to find GCD of 792, 674, 736?

You can find a detailed procedure to find GCD of 792, 674, 736 on our page.

3. How to find GCD of 792, 674, 736 on a calculator?

You can find the GCD of 792, 674, 736 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.