GCD of 496, 436, 86, 556 Calculator

Given Input numbers are 496, 436, 86, 556

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

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

Divisors of 436

List of positive integer divisors of 436 that divides 436 without a remainder.

1, 2, 4, 109, 218, 436

Divisors of 86

List of positive integer divisors of 86 that divides 86 without a remainder.

1, 2, 43, 86

Divisors of 556

List of positive integer divisors of 556 that divides 556 without a remainder.

1, 2, 4, 139, 278, 556

Greatest Common Divisior

We found the divisors of 496, 436, 86, 556 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 496, 436, 86, 556 is 2.

Therefore, GCD of numbers 496, 436, 86, 556 is 2

Given Input Data is 496, 436, 86, 556

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

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

Prime Factorization of 436 is 2 x 2 x 109

Prime Factorization of 86 is 2 x 43

Prime Factorization of 556 is 2 x 2 x 139

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(496, 436) = 54064

GCD(496, 436) = ( 496 x 436 ) / 54064

GCD(496, 436) = 216256 / 54064

GCD(496, 436) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 86

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

LCM(4, 86) = 172

GCD(4, 86) = ( 4 x 86 ) / 172

GCD(4, 86) = 344 / 172

GCD(4, 86) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 556

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

LCM(2, 556) = 556

GCD(2, 556) = ( 2 x 556 ) / 556

GCD(2, 556) = 1112 / 556

GCD(2, 556) = 2

GCD of 496, 436, 86, 556 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 446, 532, 33, 832
• GCD of 786, 567, 80, 354
• GCD of 133, 863, 23, 749
• GCD of 248, 377, 56, 837
• GCD of 224, 638, 61, 449

1. What is the GCD of 496, 436, 86, 556?

GCD of 496, 436, 86, 556 is 2

2. Where do I get the detailed procedure to find GCD of 496, 436, 86, 556?

You can find a detailed procedure to find GCD of 496, 436, 86, 556 on our page.

3. How to find GCD of 496, 436, 86, 556 on a calculator?

You can find the GCD of 496, 436, 86, 556 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.