GCD of 240, 542, 326, 456 Calculator

Given Input numbers are 240, 542, 326, 456

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

Divisors of 240

List of positive integer divisors of 240 that divides 240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Divisors of 542

List of positive integer divisors of 542 that divides 542 without a remainder.

1, 2, 271, 542

Divisors of 326

List of positive integer divisors of 326 that divides 326 without a remainder.

1, 2, 163, 326

Divisors of 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Greatest Common Divisior

We found the divisors of 240, 542, 326, 456 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 240, 542, 326, 456 is 2.

Therefore, GCD of numbers 240, 542, 326, 456 is 2

Given Input Data is 240, 542, 326, 456

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

Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 542 is 2 x 271

Prime Factorization of 326 is 2 x 163

Prime Factorization of 456 is 2 x 2 x 2 x 3 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(240, 542) = 65040

GCD(240, 542) = ( 240 x 542 ) / 65040

GCD(240, 542) = 130080 / 65040

GCD(240, 542) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 326

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

LCM(2, 326) = 326

GCD(2, 326) = ( 2 x 326 ) / 326

GCD(2, 326) = 652 / 326

GCD(2, 326) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 456

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

LCM(2, 456) = 456

GCD(2, 456) = ( 2 x 456 ) / 456

GCD(2, 456) = 912 / 456

GCD(2, 456) = 2

GCD of 240, 542, 326, 456 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 985, 558, 981, 333
• GCD of 592, 925, 307, 204
• GCD of 726, 406, 856, 836
• GCD of 584, 976, 646, 621
• GCD of 173, 434, 978, 816

1. What is the GCD of 240, 542, 326, 456?

GCD of 240, 542, 326, 456 is 2

2. Where do I get the detailed procedure to find GCD of 240, 542, 326, 456?

You can find a detailed procedure to find GCD of 240, 542, 326, 456 on our page.

3. How to find GCD of 240, 542, 326, 456 on a calculator?

You can find the GCD of 240, 542, 326, 456 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.