GCD of 272, 868, 34, 264 Calculator

Given Input numbers are 272, 868, 34, 264

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 868

List of positive integer divisors of 868 that divides 868 without a remainder.

1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

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

Greatest Common Divisior

We found the divisors of 272, 868, 34, 264 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 272, 868, 34, 264 is 2.

Therefore, GCD of numbers 272, 868, 34, 264 is 2

Given Input Data is 272, 868, 34, 264

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 868 is 2 x 2 x 7 x 31

Prime Factorization of 34 is 2 x 17

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

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, 868) = 59024

GCD(272, 868) = ( 272 x 868 ) / 59024

GCD(272, 868) = 236096 / 59024

GCD(272, 868) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 34

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

LCM(4, 34) = 68

GCD(4, 34) = ( 4 x 34 ) / 68

GCD(4, 34) = 136 / 68

GCD(4, 34) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 264

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

LCM(2, 264) = 264

GCD(2, 264) = ( 2 x 264 ) / 264

GCD(2, 264) = 528 / 264

GCD(2, 264) = 2

GCD of 272, 868, 34, 264 is 2

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1. What is the GCD of 272, 868, 34, 264?

GCD of 272, 868, 34, 264 is 2

2. Where do I get the detailed procedure to find GCD of 272, 868, 34, 264?

You can find a detailed procedure to find GCD of 272, 868, 34, 264 on our page.

3. How to find GCD of 272, 868, 34, 264 on a calculator?

You can find the GCD of 272, 868, 34, 264 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.