GCD of 114, 816, 297, 642 Calculator

Given Input numbers are 114, 816, 297, 642

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

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

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

Divisors of 297

List of positive integer divisors of 297 that divides 297 without a remainder.

1, 3, 9, 11, 27, 33, 99, 297

Divisors of 642

List of positive integer divisors of 642 that divides 642 without a remainder.

1, 2, 3, 6, 107, 214, 321, 642

Greatest Common Divisior

We found the divisors of 114, 816, 297, 642 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 114, 816, 297, 642 is 3.

Therefore, GCD of numbers 114, 816, 297, 642 is 3

Given Input Data is 114, 816, 297, 642

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

Prime Factorization of 114 is 2 x 3 x 19

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

Prime Factorization of 297 is 3 x 3 x 3 x 11

Prime Factorization of 642 is 2 x 3 x 107

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(114, 816) = 15504

GCD(114, 816) = ( 114 x 816 ) / 15504

GCD(114, 816) = 93024 / 15504

GCD(114, 816) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 297

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

LCM(6, 297) = 594

GCD(6, 297) = ( 6 x 297 ) / 594

GCD(6, 297) = 1782 / 594

GCD(6, 297) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 642

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

LCM(3, 642) = 642

GCD(3, 642) = ( 3 x 642 ) / 642

GCD(3, 642) = 1926 / 642

GCD(3, 642) = 3

GCD of 114, 816, 297, 642 is 3

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1. What is the GCD of 114, 816, 297, 642?

GCD of 114, 816, 297, 642 is 3

2. Where do I get the detailed procedure to find GCD of 114, 816, 297, 642?

You can find a detailed procedure to find GCD of 114, 816, 297, 642 on our page.

3. How to find GCD of 114, 816, 297, 642 on a calculator?

You can find the GCD of 114, 816, 297, 642 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.