GCD of 872, 768, 228, 708 Calculator

Given Input numbers are 872, 768, 228, 708

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 768

List of positive integer divisors of 768 that divides 768 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Divisors of 228

List of positive integer divisors of 228 that divides 228 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

Divisors of 708

List of positive integer divisors of 708 that divides 708 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Greatest Common Divisior

We found the divisors of 872, 768, 228, 708 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 872, 768, 228, 708 is 4.

Therefore, GCD of numbers 872, 768, 228, 708 is 4

Given Input Data is 872, 768, 228, 708

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 768 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 228 is 2 x 2 x 3 x 19

Prime Factorization of 708 is 2 x 2 x 3 x 59

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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, 768) = 83712

GCD(872, 768) = ( 872 x 768 ) / 83712

GCD(872, 768) = 669696 / 83712

GCD(872, 768) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 228

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

LCM(8, 228) = 456

GCD(8, 228) = ( 8 x 228 ) / 456

GCD(8, 228) = 1824 / 456

GCD(8, 228) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 708

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

LCM(4, 708) = 708

GCD(4, 708) = ( 4 x 708 ) / 708

GCD(4, 708) = 2832 / 708

GCD(4, 708) = 4

GCD of 872, 768, 228, 708 is 4

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• GCD of 561, 364, 804, 561
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1. What is the GCD of 872, 768, 228, 708?

GCD of 872, 768, 228, 708 is 4

2. Where do I get the detailed procedure to find GCD of 872, 768, 228, 708?

You can find a detailed procedure to find GCD of 872, 768, 228, 708 on our page.

3. How to find GCD of 872, 768, 228, 708 on a calculator?

You can find the GCD of 872, 768, 228, 708 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.