GCD of 272, 878, 33, 344 Calculator

Given Input numbers are 272, 878, 33, 344

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 878

List of positive integer divisors of 878 that divides 878 without a remainder.

1, 2, 439, 878

Divisors of 33

List of positive integer divisors of 33 that divides 33 without a remainder.

1, 3, 11, 33

Divisors of 344

List of positive integer divisors of 344 that divides 344 without a remainder.

1, 2, 4, 8, 43, 86, 172, 344

Greatest Common Divisior

We found the divisors of 272, 878, 33, 344 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 272, 878, 33, 344 is 1.

Therefore, GCD of numbers 272, 878, 33, 344 is 1

Given Input Data is 272, 878, 33, 344

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 878 is 2 x 439

Prime Factorization of 33 is 3 x 11

Prime Factorization of 344 is 2 x 2 x 2 x 43

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(272, 878) = 119408

GCD(272, 878) = ( 272 x 878 ) / 119408

GCD(272, 878) = 238816 / 119408

GCD(272, 878) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 33

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

LCM(2, 33) = 66

GCD(2, 33) = ( 2 x 33 ) / 66

GCD(2, 33) = 66 / 66

GCD(2, 33) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 344

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

LCM(1, 344) = 344

GCD(1, 344) = ( 1 x 344 ) / 344

GCD(1, 344) = 344 / 344

GCD(1, 344) = 1

GCD of 272, 878, 33, 344 is 1

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1. What is the GCD of 272, 878, 33, 344?

GCD of 272, 878, 33, 344 is 1

2. Where do I get the detailed procedure to find GCD of 272, 878, 33, 344?

You can find a detailed procedure to find GCD of 272, 878, 33, 344 on our page.

3. How to find GCD of 272, 878, 33, 344 on a calculator?

You can find the GCD of 272, 878, 33, 344 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.