GCD of 256, 120, 36, 248 Calculator

Given Input numbers are 256, 120, 36, 248

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

Divisors of 256

List of positive integer divisors of 256 that divides 256 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256

Divisors of 120

List of positive integer divisors of 120 that divides 120 without a remainder.

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

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 248

List of positive integer divisors of 248 that divides 248 without a remainder.

1, 2, 4, 8, 31, 62, 124, 248

Greatest Common Divisior

We found the divisors of 256, 120, 36, 248 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 256, 120, 36, 248 is 4.

Therefore, GCD of numbers 256, 120, 36, 248 is 4

Given Input Data is 256, 120, 36, 248

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

Prime Factorization of 256 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 248 is 2 x 2 x 2 x 31

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(256, 120) = 3840

GCD(256, 120) = ( 256 x 120 ) / 3840

GCD(256, 120) = 30720 / 3840

GCD(256, 120) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 36

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

LCM(8, 36) = 72

GCD(8, 36) = ( 8 x 36 ) / 72

GCD(8, 36) = 288 / 72

GCD(8, 36) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 248

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

LCM(4, 248) = 248

GCD(4, 248) = ( 4 x 248 ) / 248

GCD(4, 248) = 992 / 248

GCD(4, 248) = 4

GCD of 256, 120, 36, 248 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 789, 955, 78, 975
• GCD of 663, 981, 37, 644
• GCD of 402, 533, 62, 379
• GCD of 626, 272, 51, 201
• GCD of 381, 397, 79, 302

1. What is the GCD of 256, 120, 36, 248?

GCD of 256, 120, 36, 248 is 4

2. Where do I get the detailed procedure to find GCD of 256, 120, 36, 248?

You can find a detailed procedure to find GCD of 256, 120, 36, 248 on our page.

3. How to find GCD of 256, 120, 36, 248 on a calculator?

You can find the GCD of 256, 120, 36, 248 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.