GCD of 438, 616, 114 Calculator

Given Input numbers are 438, 616, 114

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

Divisors of 438

List of positive integer divisors of 438 that divides 438 without a remainder.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 616

List of positive integer divisors of 616 that divides 616 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Divisors of 114

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

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

Greatest Common Divisior

We found the divisors of 438, 616, 114 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 438, 616, 114 is 2.

Therefore, GCD of numbers 438, 616, 114 is 2

Given Input Data is 438, 616, 114

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

Prime Factorization of 438 is 2 x 3 x 73

Prime Factorization of 616 is 2 x 2 x 2 x 7 x 11

Prime Factorization of 114 is 2 x 3 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(438, 616) = 134904

GCD(438, 616) = ( 438 x 616 ) / 134904

GCD(438, 616) = 269808 / 134904

GCD(438, 616) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 114

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

LCM(2, 114) = 114

GCD(2, 114) = ( 2 x 114 ) / 114

GCD(2, 114) = 228 / 114

GCD(2, 114) = 2

GCD of 438, 616, 114 is 2

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1. What is the GCD of 438, 616, 114?

GCD of 438, 616, 114 is 2

2. Where do I get the detailed procedure to find GCD of 438, 616, 114?

You can find a detailed procedure to find GCD of 438, 616, 114 on our page.

3. How to find GCD of 438, 616, 114 on a calculator?

You can find the GCD of 438, 616, 114 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.