GCD of 496, 546, 822 Calculator

Given Input numbers are 496, 546, 822

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 546

List of positive integer divisors of 546 that divides 546 without a remainder.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

Divisors of 822

List of positive integer divisors of 822 that divides 822 without a remainder.

1, 2, 3, 6, 137, 274, 411, 822

Greatest Common Divisior

We found the divisors of 496, 546, 822 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 496, 546, 822 is 2.

Therefore, GCD of numbers 496, 546, 822 is 2

Given Input Data is 496, 546, 822

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 546 is 2 x 3 x 7 x 13

Prime Factorization of 822 is 2 x 3 x 137

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, 546) = 135408

GCD(496, 546) = ( 496 x 546 ) / 135408

GCD(496, 546) = 270816 / 135408

GCD(496, 546) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 822

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

LCM(2, 822) = 822

GCD(2, 822) = ( 2 x 822 ) / 822

GCD(2, 822) = 1644 / 822

GCD(2, 822) = 2

GCD of 496, 546, 822 is 2

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1. What is the GCD of 496, 546, 822?

GCD of 496, 546, 822 is 2

2. Where do I get the detailed procedure to find GCD of 496, 546, 822?

You can find a detailed procedure to find GCD of 496, 546, 822 on our page.

3. How to find GCD of 496, 546, 822 on a calculator?

You can find the GCD of 496, 546, 822 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.