GCD of 412, 736, 84, 496 Calculator

Given Input numbers are 412, 736, 84, 496

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

Divisors of 412

List of positive integer divisors of 412 that divides 412 without a remainder.

1, 2, 4, 103, 206, 412

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 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

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 412, 736, 84, 496 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 412, 736, 84, 496 is 4.

Therefore, GCD of numbers 412, 736, 84, 496 is 4

Given Input Data is 412, 736, 84, 496

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

Prime Factorization of 412 is 2 x 2 x 103

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

Prime Factorization of 84 is 2 x 2 x 3 x 7

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

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(412, 736) = 75808

GCD(412, 736) = ( 412 x 736 ) / 75808

GCD(412, 736) = 303232 / 75808

GCD(412, 736) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 84

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

LCM(4, 84) = 84

GCD(4, 84) = ( 4 x 84 ) / 84

GCD(4, 84) = 336 / 84

GCD(4, 84) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 496

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

LCM(4, 496) = 496

GCD(4, 496) = ( 4 x 496 ) / 496

GCD(4, 496) = 1984 / 496

GCD(4, 496) = 4

GCD of 412, 736, 84, 496 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 213, 361, 70, 682
• GCD of 451, 839, 53, 693
• GCD of 768, 182, 21, 658
• GCD of 941, 938, 53, 103
• GCD of 838, 722, 48, 564

1. What is the GCD of 412, 736, 84, 496?

GCD of 412, 736, 84, 496 is 4

2. Where do I get the detailed procedure to find GCD of 412, 736, 84, 496?

You can find a detailed procedure to find GCD of 412, 736, 84, 496 on our page.

3. How to find GCD of 412, 736, 84, 496 on a calculator?

You can find the GCD of 412, 736, 84, 496 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.