GCD of 387, 168, 726 Calculator

Given Input numbers are 387, 168, 726

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

Divisors of 387

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

1, 3, 9, 43, 129, 387

Divisors of 168

List of positive integer divisors of 168 that divides 168 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

Divisors of 726

List of positive integer divisors of 726 that divides 726 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Greatest Common Divisior

We found the divisors of 387, 168, 726 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 387, 168, 726 is 3.

Therefore, GCD of numbers 387, 168, 726 is 3

Given Input Data is 387, 168, 726

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

Prime Factorization of 387 is 3 x 3 x 43

Prime Factorization of 168 is 2 x 2 x 2 x 3 x 7

Prime Factorization of 726 is 2 x 3 x 11 x 11

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(387, 168) = 21672

GCD(387, 168) = ( 387 x 168 ) / 21672

GCD(387, 168) = 65016 / 21672

GCD(387, 168) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 726

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

LCM(3, 726) = 726

GCD(3, 726) = ( 3 x 726 ) / 726

GCD(3, 726) = 2178 / 726

GCD(3, 726) = 3

GCD of 387, 168, 726 is 3

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1. What is the GCD of 387, 168, 726?

GCD of 387, 168, 726 is 3

2. Where do I get the detailed procedure to find GCD of 387, 168, 726?

You can find a detailed procedure to find GCD of 387, 168, 726 on our page.

3. How to find GCD of 387, 168, 726 on a calculator?

You can find the GCD of 387, 168, 726 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.