GCD of 126, 291, 219, 816 Calculator

Given Input numbers are 126, 291, 219, 816

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

Divisors of 126

List of positive integer divisors of 126 that divides 126 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Divisors of 291

List of positive integer divisors of 291 that divides 291 without a remainder.

1, 3, 97, 291

Divisors of 219

List of positive integer divisors of 219 that divides 219 without a remainder.

1, 3, 73, 219

Divisors of 816

List of positive integer divisors of 816 that divides 816 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

Greatest Common Divisior

We found the divisors of 126, 291, 219, 816 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 126, 291, 219, 816 is 3.

Therefore, GCD of numbers 126, 291, 219, 816 is 3

Given Input Data is 126, 291, 219, 816

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

Prime Factorization of 126 is 2 x 3 x 3 x 7

Prime Factorization of 291 is 3 x 97

Prime Factorization of 219 is 3 x 73

Prime Factorization of 816 is 2 x 2 x 2 x 2 x 3 x 17

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(126, 291) = 12222

GCD(126, 291) = ( 126 x 291 ) / 12222

GCD(126, 291) = 36666 / 12222

GCD(126, 291) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 219

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

LCM(3, 219) = 219

GCD(3, 219) = ( 3 x 219 ) / 219

GCD(3, 219) = 657 / 219

GCD(3, 219) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 816

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

LCM(3, 816) = 816

GCD(3, 816) = ( 3 x 816 ) / 816

GCD(3, 816) = 2448 / 816

GCD(3, 816) = 3

GCD of 126, 291, 219, 816 is 3

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1. What is the GCD of 126, 291, 219, 816?

GCD of 126, 291, 219, 816 is 3

2. Where do I get the detailed procedure to find GCD of 126, 291, 219, 816?

You can find a detailed procedure to find GCD of 126, 291, 219, 816 on our page.

3. How to find GCD of 126, 291, 219, 816 on a calculator?

You can find the GCD of 126, 291, 219, 816 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.