GCD of 740, 796, 432, 636 Calculator

Given Input numbers are 740, 796, 432, 636

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

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 796

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

1, 2, 4, 199, 398, 796

Divisors of 432

List of positive integer divisors of 432 that divides 432 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

Divisors of 636

List of positive integer divisors of 636 that divides 636 without a remainder.

1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

Greatest Common Divisior

We found the divisors of 740, 796, 432, 636 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 740, 796, 432, 636 is 4.

Therefore, GCD of numbers 740, 796, 432, 636 is 4

Given Input Data is 740, 796, 432, 636

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

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

Prime Factorization of 796 is 2 x 2 x 199

Prime Factorization of 432 is 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 636 is 2 x 2 x 3 x 53

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(740, 796) = 147260

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

GCD(740, 796) = 589040 / 147260

GCD(740, 796) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 432

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

LCM(4, 432) = 432

GCD(4, 432) = ( 4 x 432 ) / 432

GCD(4, 432) = 1728 / 432

GCD(4, 432) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 636

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

LCM(4, 636) = 636

GCD(4, 636) = ( 4 x 636 ) / 636

GCD(4, 636) = 2544 / 636

GCD(4, 636) = 4

GCD of 740, 796, 432, 636 is 4

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1. What is the GCD of 740, 796, 432, 636?

GCD of 740, 796, 432, 636 is 4

2. Where do I get the detailed procedure to find GCD of 740, 796, 432, 636?

You can find a detailed procedure to find GCD of 740, 796, 432, 636 on our page.

3. How to find GCD of 740, 796, 432, 636 on a calculator?

You can find the GCD of 740, 796, 432, 636 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.