GCD of 354, 720, 808, 492 Calculator

Given Input numbers are 354, 720, 808, 492

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

Divisors of 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 720

List of positive integer divisors of 720 that divides 720 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 808

List of positive integer divisors of 808 that divides 808 without a remainder.

1, 2, 4, 8, 101, 202, 404, 808

Divisors of 492

List of positive integer divisors of 492 that divides 492 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Greatest Common Divisior

We found the divisors of 354, 720, 808, 492 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 354, 720, 808, 492 is 2.

Therefore, GCD of numbers 354, 720, 808, 492 is 2

Given Input Data is 354, 720, 808, 492

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

Prime Factorization of 354 is 2 x 3 x 59

Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 808 is 2 x 2 x 2 x 101

Prime Factorization of 492 is 2 x 2 x 3 x 41

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(354, 720) = 42480

GCD(354, 720) = ( 354 x 720 ) / 42480

GCD(354, 720) = 254880 / 42480

GCD(354, 720) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 808

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

LCM(6, 808) = 2424

GCD(6, 808) = ( 6 x 808 ) / 2424

GCD(6, 808) = 4848 / 2424

GCD(6, 808) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 492

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

LCM(2, 492) = 492

GCD(2, 492) = ( 2 x 492 ) / 492

GCD(2, 492) = 984 / 492

GCD(2, 492) = 2

GCD of 354, 720, 808, 492 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 923, 778, 560, 581
• GCD of 498, 707, 814, 153
• GCD of 703, 401, 885, 619
• GCD of 359, 224, 728, 153
• GCD of 648, 540, 759, 352

1. What is the GCD of 354, 720, 808, 492?

GCD of 354, 720, 808, 492 is 2

2. Where do I get the detailed procedure to find GCD of 354, 720, 808, 492?

You can find a detailed procedure to find GCD of 354, 720, 808, 492 on our page.

3. How to find GCD of 354, 720, 808, 492 on a calculator?

You can find the GCD of 354, 720, 808, 492 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.