GCD of 612, 488, 390, 110 Calculator

Given Input numbers are 612, 488, 390, 110

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

Divisors of 612

List of positive integer divisors of 612 that divides 612 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Divisors of 488

List of positive integer divisors of 488 that divides 488 without a remainder.

1, 2, 4, 8, 61, 122, 244, 488

Divisors of 390

List of positive integer divisors of 390 that divides 390 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 110

List of positive integer divisors of 110 that divides 110 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110

Greatest Common Divisior

We found the divisors of 612, 488, 390, 110 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 612, 488, 390, 110 is 2.

Therefore, GCD of numbers 612, 488, 390, 110 is 2

Given Input Data is 612, 488, 390, 110

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

Prime Factorization of 612 is 2 x 2 x 3 x 3 x 17

Prime Factorization of 488 is 2 x 2 x 2 x 61

Prime Factorization of 390 is 2 x 3 x 5 x 13

Prime Factorization of 110 is 2 x 5 x 11

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(612, 488) = 74664

GCD(612, 488) = ( 612 x 488 ) / 74664

GCD(612, 488) = 298656 / 74664

GCD(612, 488) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 390

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

LCM(4, 390) = 780

GCD(4, 390) = ( 4 x 390 ) / 780

GCD(4, 390) = 1560 / 780

GCD(4, 390) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 110

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

LCM(2, 110) = 110

GCD(2, 110) = ( 2 x 110 ) / 110

GCD(2, 110) = 220 / 110

GCD(2, 110) = 2

GCD of 612, 488, 390, 110 is 2

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1. What is the GCD of 612, 488, 390, 110?

GCD of 612, 488, 390, 110 is 2

2. Where do I get the detailed procedure to find GCD of 612, 488, 390, 110?

You can find a detailed procedure to find GCD of 612, 488, 390, 110 on our page.

3. How to find GCD of 612, 488, 390, 110 on a calculator?

You can find the GCD of 612, 488, 390, 110 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.