GCD of 270, 856, 472, 496 Calculator

Given Input numbers are 270, 856, 472, 496

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

Divisors of 270

List of positive integer divisors of 270 that divides 270 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 856

List of positive integer divisors of 856 that divides 856 without a remainder.

1, 2, 4, 8, 107, 214, 428, 856

Divisors of 472

List of positive integer divisors of 472 that divides 472 without a remainder.

1, 2, 4, 8, 59, 118, 236, 472

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 270, 856, 472, 496 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 270, 856, 472, 496 is 2.

Therefore, GCD of numbers 270, 856, 472, 496 is 2

Given Input Data is 270, 856, 472, 496

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

Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5

Prime Factorization of 856 is 2 x 2 x 2 x 107

Prime Factorization of 472 is 2 x 2 x 2 x 59

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

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(270, 856) = 115560

GCD(270, 856) = ( 270 x 856 ) / 115560

GCD(270, 856) = 231120 / 115560

GCD(270, 856) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 472

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

LCM(2, 472) = 472

GCD(2, 472) = ( 2 x 472 ) / 472

GCD(2, 472) = 944 / 472

GCD(2, 472) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 496

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

LCM(2, 496) = 496

GCD(2, 496) = ( 2 x 496 ) / 496

GCD(2, 496) = 992 / 496

GCD(2, 496) = 2

GCD of 270, 856, 472, 496 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 962, 118, 366, 269
• GCD of 684, 187, 802, 869
• GCD of 331, 191, 624, 114
• GCD of 279, 917, 454, 986
• GCD of 649, 235, 182, 943

1. What is the GCD of 270, 856, 472, 496?

GCD of 270, 856, 472, 496 is 2

2. Where do I get the detailed procedure to find GCD of 270, 856, 472, 496?

You can find a detailed procedure to find GCD of 270, 856, 472, 496 on our page.

3. How to find GCD of 270, 856, 472, 496 on a calculator?

You can find the GCD of 270, 856, 472, 496 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.