GCD of 796, 740, 512, 740 Calculator

Given Input numbers are 796, 740, 512, 740

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

Divisors of 796

List of positive integer divisors of 796 that divides 796 without a remainder.

1, 2, 4, 199, 398, 796

Divisors of 740

List of positive integer divisors of 740 that divides 740 without a remainder.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Divisors of 512

List of positive integer divisors of 512 that divides 512 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

Divisors of 740

List of positive integer divisors of 740 that divides 740 without a remainder.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Greatest Common Divisior

We found the divisors of 796, 740, 512, 740 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 796, 740, 512, 740 is 4.

Therefore, GCD of numbers 796, 740, 512, 740 is 4

Given Input Data is 796, 740, 512, 740

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

Prime Factorization of 796 is 2 x 2 x 199

Prime Factorization of 740 is 2 x 2 x 5 x 37

Prime Factorization of 512 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 740 is 2 x 2 x 5 x 37

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(796, 740) = 147260

GCD(796, 740) = ( 796 x 740 ) / 147260

GCD(796, 740) = 589040 / 147260

GCD(796, 740) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 512

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

LCM(4, 512) = 512

GCD(4, 512) = ( 4 x 512 ) / 512

GCD(4, 512) = 2048 / 512

GCD(4, 512) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 740

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

LCM(4, 740) = 740

GCD(4, 740) = ( 4 x 740 ) / 740

GCD(4, 740) = 2960 / 740

GCD(4, 740) = 4

GCD of 796, 740, 512, 740 is 4

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1. What is the GCD of 796, 740, 512, 740?

GCD of 796, 740, 512, 740 is 4

2. Where do I get the detailed procedure to find GCD of 796, 740, 512, 740?

You can find a detailed procedure to find GCD of 796, 740, 512, 740 on our page.

3. How to find GCD of 796, 740, 512, 740 on a calculator?

You can find the GCD of 796, 740, 512, 740 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.