GCD of 114, 328, 72, 614 Calculator

Given Input numbers are 114, 328, 72, 614

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 328

List of positive integer divisors of 328 that divides 328 without a remainder.

1, 2, 4, 8, 41, 82, 164, 328

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 614

List of positive integer divisors of 614 that divides 614 without a remainder.

1, 2, 307, 614

Greatest Common Divisior

We found the divisors of 114, 328, 72, 614 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 114, 328, 72, 614 is 2.

Therefore, GCD of numbers 114, 328, 72, 614 is 2

Given Input Data is 114, 328, 72, 614

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 328 is 2 x 2 x 2 x 41

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 614 is 2 x 307

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(114, 328) = 18696

GCD(114, 328) = ( 114 x 328 ) / 18696

GCD(114, 328) = 37392 / 18696

GCD(114, 328) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 72

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

LCM(2, 72) = 72

GCD(2, 72) = ( 2 x 72 ) / 72

GCD(2, 72) = 144 / 72

GCD(2, 72) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 614

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

LCM(2, 614) = 614

GCD(2, 614) = ( 2 x 614 ) / 614

GCD(2, 614) = 1228 / 614

GCD(2, 614) = 2

GCD of 114, 328, 72, 614 is 2

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• GCD of 924, 592, 41, 350
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• GCD of 393, 798, 30, 922

1. What is the GCD of 114, 328, 72, 614?

GCD of 114, 328, 72, 614 is 2

2. Where do I get the detailed procedure to find GCD of 114, 328, 72, 614?

You can find a detailed procedure to find GCD of 114, 328, 72, 614 on our page.

3. How to find GCD of 114, 328, 72, 614 on a calculator?

You can find the GCD of 114, 328, 72, 614 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.