GCD of 272, 872, 522, 114 Calculator

Given Input numbers are 272, 872, 522, 114

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

Divisors of 272

List of positive integer divisors of 272 that divides 272 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Divisors of 872

List of positive integer divisors of 872 that divides 872 without a remainder.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 522

List of positive integer divisors of 522 that divides 522 without a remainder.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Greatest Common Divisior

We found the divisors of 272, 872, 522, 114 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 272, 872, 522, 114 is 2.

Therefore, GCD of numbers 272, 872, 522, 114 is 2

Given Input Data is 272, 872, 522, 114

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

Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17

Prime Factorization of 872 is 2 x 2 x 2 x 109

Prime Factorization of 522 is 2 x 3 x 3 x 29

Prime Factorization of 114 is 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(272, 872) = 29648

GCD(272, 872) = ( 272 x 872 ) / 29648

GCD(272, 872) = 237184 / 29648

GCD(272, 872) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 522

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

LCM(8, 522) = 2088

GCD(8, 522) = ( 8 x 522 ) / 2088

GCD(8, 522) = 4176 / 2088

GCD(8, 522) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 114

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

LCM(2, 114) = 114

GCD(2, 114) = ( 2 x 114 ) / 114

GCD(2, 114) = 228 / 114

GCD(2, 114) = 2

GCD of 272, 872, 522, 114 is 2

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1. What is the GCD of 272, 872, 522, 114?

GCD of 272, 872, 522, 114 is 2

2. Where do I get the detailed procedure to find GCD of 272, 872, 522, 114?

You can find a detailed procedure to find GCD of 272, 872, 522, 114 on our page.

3. How to find GCD of 272, 872, 522, 114 on a calculator?

You can find the GCD of 272, 872, 522, 114 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.