GCD of 642, 387, 120 Calculator

Given Input numbers are 642, 387, 120

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

Divisors of 642

List of positive integer divisors of 642 that divides 642 without a remainder.

1, 2, 3, 6, 107, 214, 321, 642

Divisors of 387

List of positive integer divisors of 387 that divides 387 without a remainder.

1, 3, 9, 43, 129, 387

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

Greatest Common Divisior

We found the divisors of 642, 387, 120 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 642, 387, 120 is 3.

Therefore, GCD of numbers 642, 387, 120 is 3

Given Input Data is 642, 387, 120

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

Prime Factorization of 642 is 2 x 3 x 107

Prime Factorization of 387 is 3 x 3 x 43

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

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(642, 387) = 82818

GCD(642, 387) = ( 642 x 387 ) / 82818

GCD(642, 387) = 248454 / 82818

GCD(642, 387) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 120

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

LCM(3, 120) = 120

GCD(3, 120) = ( 3 x 120 ) / 120

GCD(3, 120) = 360 / 120

GCD(3, 120) = 3

GCD of 642, 387, 120 is 3

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1. What is the GCD of 642, 387, 120?

GCD of 642, 387, 120 is 3

2. Where do I get the detailed procedure to find GCD of 642, 387, 120?

You can find a detailed procedure to find GCD of 642, 387, 120 on our page.

3. How to find GCD of 642, 387, 120 on a calculator?

You can find the GCD of 642, 387, 120 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.