GCD of 281, 264, 612, 120 Calculator

Given Input numbers are 281, 264, 612, 120

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

Divisors of 281

List of positive integer divisors of 281 that divides 281 without a remainder.

1, 281

Divisors of 264

List of positive integer divisors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 612

List of positive integer divisors of 612 that divides 612 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

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

Greatest Common Divisior

We found the divisors of 281, 264, 612, 120 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 281, 264, 612, 120 is 1.

Therefore, GCD of numbers 281, 264, 612, 120 is 1

Given Input Data is 281, 264, 612, 120

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

Prime Factorization of 281 is 281

Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11

Prime Factorization of 612 is 2 x 2 x 3 x 3 x 17

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

The above numbers do not have any common prime factor. So GCD is 1

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(281, 264) = 74184

GCD(281, 264) = ( 281 x 264 ) / 74184

GCD(281, 264) = 74184 / 74184

GCD(281, 264) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 612

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

LCM(1, 612) = 612

GCD(1, 612) = ( 1 x 612 ) / 612

GCD(1, 612) = 612 / 612

GCD(1, 612) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 120

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

LCM(1, 120) = 120

GCD(1, 120) = ( 1 x 120 ) / 120

GCD(1, 120) = 120 / 120

GCD(1, 120) = 1

GCD of 281, 264, 612, 120 is 1

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1. What is the GCD of 281, 264, 612, 120?

GCD of 281, 264, 612, 120 is 1

2. Where do I get the detailed procedure to find GCD of 281, 264, 612, 120?

You can find a detailed procedure to find GCD of 281, 264, 612, 120 on our page.

3. How to find GCD of 281, 264, 612, 120 on a calculator?

You can find the GCD of 281, 264, 612, 120 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.