GCD of 322, 546, 78, 494 Calculator

Given Input numbers are 322, 546, 78, 494

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

Divisors of 322

List of positive integer divisors of 322 that divides 322 without a remainder.

1, 2, 7, 14, 23, 46, 161, 322

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 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

Divisors of 494

List of positive integer divisors of 494 that divides 494 without a remainder.

1, 2, 13, 19, 26, 38, 247, 494

Greatest Common Divisior

We found the divisors of 322, 546, 78, 494 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 322, 546, 78, 494 is 2.

Therefore, GCD of numbers 322, 546, 78, 494 is 2

Given Input Data is 322, 546, 78, 494

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

Prime Factorization of 322 is 2 x 7 x 23

Prime Factorization of 546 is 2 x 3 x 7 x 13

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 494 is 2 x 13 x 19

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(322, 546) = 12558

GCD(322, 546) = ( 322 x 546 ) / 12558

GCD(322, 546) = 175812 / 12558

GCD(322, 546) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 78

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

LCM(14, 78) = 546

GCD(14, 78) = ( 14 x 78 ) / 546

GCD(14, 78) = 1092 / 546

GCD(14, 78) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 494

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

LCM(2, 494) = 494

GCD(2, 494) = ( 2 x 494 ) / 494

GCD(2, 494) = 988 / 494

GCD(2, 494) = 2

GCD of 322, 546, 78, 494 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 174, 273, 53, 782
• GCD of 744, 696, 99, 935
• GCD of 328, 983, 37, 394
• GCD of 507, 677, 26, 658
• GCD of 805, 670, 20, 737

1. What is the GCD of 322, 546, 78, 494?

GCD of 322, 546, 78, 494 is 2

2. Where do I get the detailed procedure to find GCD of 322, 546, 78, 494?

You can find a detailed procedure to find GCD of 322, 546, 78, 494 on our page.

3. How to find GCD of 322, 546, 78, 494 on a calculator?

You can find the GCD of 322, 546, 78, 494 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.