GCD of 348, 876, 564, 216 Calculator

Given Input numbers are 348, 876, 564, 216

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

Divisors of 348

List of positive integer divisors of 348 that divides 348 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 876

List of positive integer divisors of 876 that divides 876 without a remainder.

1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

Divisors of 564

List of positive integer divisors of 564 that divides 564 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 216

List of positive integer divisors of 216 that divides 216 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Greatest Common Divisior

We found the divisors of 348, 876, 564, 216 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 348, 876, 564, 216 is 12.

Therefore, GCD of numbers 348, 876, 564, 216 is 12

Given Input Data is 348, 876, 564, 216

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

Prime Factorization of 348 is 2 x 2 x 3 x 29

Prime Factorization of 876 is 2 x 2 x 3 x 73

Prime Factorization of 564 is 2 x 2 x 3 x 47

Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3

Highest common occurrences in the given inputs are 2² x 3¹

Multiplying them we get the GCD as 12

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(348, 876) = 25404

GCD(348, 876) = ( 348 x 876 ) / 25404

GCD(348, 876) = 304848 / 25404

GCD(348, 876) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 564

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

LCM(12, 564) = 564

GCD(12, 564) = ( 12 x 564 ) / 564

GCD(12, 564) = 6768 / 564

GCD(12, 564) = 12

Step3:

Here we consider the GCD from the above i.e. 12 as first number and the next as 216

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

LCM(12, 216) = 216

GCD(12, 216) = ( 12 x 216 ) / 216

GCD(12, 216) = 2592 / 216

GCD(12, 216) = 12

GCD of 348, 876, 564, 216 is 12

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1. What is the GCD of 348, 876, 564, 216?

GCD of 348, 876, 564, 216 is 12

2. Where do I get the detailed procedure to find GCD of 348, 876, 564, 216?

You can find a detailed procedure to find GCD of 348, 876, 564, 216 on our page.

3. How to find GCD of 348, 876, 564, 216 on a calculator?

You can find the GCD of 348, 876, 564, 216 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.