GCD of 872, 912, 578, 608 Calculator

Given Input numbers are 872, 912, 578, 608

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

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 912

List of positive integer divisors of 912 that divides 912 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

Divisors of 578

List of positive integer divisors of 578 that divides 578 without a remainder.

1, 2, 17, 34, 289, 578

Divisors of 608

List of positive integer divisors of 608 that divides 608 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

Greatest Common Divisior

We found the divisors of 872, 912, 578, 608 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 872, 912, 578, 608 is 2.

Therefore, GCD of numbers 872, 912, 578, 608 is 2

Given Input Data is 872, 912, 578, 608

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

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

Prime Factorization of 912 is 2 x 2 x 2 x 2 x 3 x 19

Prime Factorization of 578 is 2 x 17 x 17

Prime Factorization of 608 is 2 x 2 x 2 x 2 x 2 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(872, 912) = 99408

GCD(872, 912) = ( 872 x 912 ) / 99408

GCD(872, 912) = 795264 / 99408

GCD(872, 912) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 578

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

LCM(8, 578) = 2312

GCD(8, 578) = ( 8 x 578 ) / 2312

GCD(8, 578) = 4624 / 2312

GCD(8, 578) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 608

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

LCM(2, 608) = 608

GCD(2, 608) = ( 2 x 608 ) / 608

GCD(2, 608) = 1216 / 608

GCD(2, 608) = 2

GCD of 872, 912, 578, 608 is 2

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1. What is the GCD of 872, 912, 578, 608?

GCD of 872, 912, 578, 608 is 2

2. Where do I get the detailed procedure to find GCD of 872, 912, 578, 608?

You can find a detailed procedure to find GCD of 872, 912, 578, 608 on our page.

3. How to find GCD of 872, 912, 578, 608 on a calculator?

You can find the GCD of 872, 912, 578, 608 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.