GCD of 120, 712, 468 Calculator

Given Input numbers are 120, 712, 468

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

Divisors of 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 712

List of positive integer divisors of 712 that divides 712 without a remainder.

1, 2, 4, 8, 89, 178, 356, 712

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

Greatest Common Divisior

We found the divisors of 120, 712, 468 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 120, 712, 468 is 4.

Therefore, GCD of numbers 120, 712, 468 is 4

Given Input Data is 120, 712, 468

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

Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5

Prime Factorization of 712 is 2 x 2 x 2 x 89

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

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(120, 712) = 10680

GCD(120, 712) = ( 120 x 712 ) / 10680

GCD(120, 712) = 85440 / 10680

GCD(120, 712) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 468

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

LCM(8, 468) = 936

GCD(8, 468) = ( 8 x 468 ) / 936

GCD(8, 468) = 3744 / 936

GCD(8, 468) = 4

GCD of 120, 712, 468 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 192, 584, 277
• GCD of 142, 162, 734
• GCD of 100, 728, 941
• GCD of 818, 722, 910
• GCD of 212, 764, 170

1. What is the GCD of 120, 712, 468?

GCD of 120, 712, 468 is 4

2. Where do I get the detailed procedure to find GCD of 120, 712, 468?

You can find a detailed procedure to find GCD of 120, 712, 468 on our page.

3. How to find GCD of 120, 712, 468 on a calculator?

You can find the GCD of 120, 712, 468 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.