GCD of 814, 736, 100, 496 Calculator

Given Input numbers are 814, 736, 100, 496

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

Divisors of 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

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

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 496

List of positive integer divisors of 496 that divides 496 without a remainder.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Greatest Common Divisior

We found the divisors of 814, 736, 100, 496 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 814, 736, 100, 496 is 2.

Therefore, GCD of numbers 814, 736, 100, 496 is 2

Given Input Data is 814, 736, 100, 496

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

Prime Factorization of 814 is 2 x 11 x 37

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

Prime Factorization of 100 is 2 x 2 x 5 x 5

Prime Factorization of 496 is 2 x 2 x 2 x 2 x 31

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(814, 736) = 299552

GCD(814, 736) = ( 814 x 736 ) / 299552

GCD(814, 736) = 599104 / 299552

GCD(814, 736) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 100

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

LCM(2, 100) = 100

GCD(2, 100) = ( 2 x 100 ) / 100

GCD(2, 100) = 200 / 100

GCD(2, 100) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 496

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

LCM(2, 496) = 496

GCD(2, 496) = ( 2 x 496 ) / 496

GCD(2, 496) = 992 / 496

GCD(2, 496) = 2

GCD of 814, 736, 100, 496 is 2

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1. What is the GCD of 814, 736, 100, 496?

GCD of 814, 736, 100, 496 is 2

2. Where do I get the detailed procedure to find GCD of 814, 736, 100, 496?

You can find a detailed procedure to find GCD of 814, 736, 100, 496 on our page.

3. How to find GCD of 814, 736, 100, 496 on a calculator?

You can find the GCD of 814, 736, 100, 496 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.