GCD of 468, 714, 18, 112 Calculator

Given Input numbers are 468, 714, 18, 112

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

Divisors of 468

List of positive integer divisors of 468 that divides 468 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Divisors of 714

List of positive integer divisors of 714 that divides 714 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

Divisors of 112

List of positive integer divisors of 112 that divides 112 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Greatest Common Divisior

We found the divisors of 468, 714, 18, 112 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 468, 714, 18, 112 is 2.

Therefore, GCD of numbers 468, 714, 18, 112 is 2

Given Input Data is 468, 714, 18, 112

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

Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13

Prime Factorization of 714 is 2 x 3 x 7 x 17

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7

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(468, 714) = 55692

GCD(468, 714) = ( 468 x 714 ) / 55692

GCD(468, 714) = 334152 / 55692

GCD(468, 714) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 18

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

LCM(6, 18) = 18

GCD(6, 18) = ( 6 x 18 ) / 18

GCD(6, 18) = 108 / 18

GCD(6, 18) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 112

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

LCM(6, 112) = 336

GCD(6, 112) = ( 6 x 112 ) / 336

GCD(6, 112) = 672 / 336

GCD(6, 112) = 2

GCD of 468, 714, 18, 112 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 967, 163, 38, 712
• GCD of 977, 791, 97, 393
• GCD of 450, 522, 38, 645
• GCD of 305, 543, 52, 327
• GCD of 858, 447, 51, 134

1. What is the GCD of 468, 714, 18, 112?

GCD of 468, 714, 18, 112 is 2

2. Where do I get the detailed procedure to find GCD of 468, 714, 18, 112?

You can find a detailed procedure to find GCD of 468, 714, 18, 112 on our page.

3. How to find GCD of 468, 714, 18, 112 on a calculator?

You can find the GCD of 468, 714, 18, 112 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.