GCD of 390, 726, 902 Calculator

Given Input numbers are 390, 726, 902

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

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 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

Divisors of 902

List of positive integer divisors of 902 that divides 902 without a remainder.

1, 2, 11, 22, 41, 82, 451, 902

Greatest Common Divisior

We found the divisors of 390, 726, 902 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 390, 726, 902 is 2.

Therefore, GCD of numbers 390, 726, 902 is 2

Given Input Data is 390, 726, 902

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

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

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

Prime Factorization of 902 is 2 x 11 x 41

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(390, 726) = 47190

GCD(390, 726) = ( 390 x 726 ) / 47190

GCD(390, 726) = 283140 / 47190

GCD(390, 726) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 902

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

LCM(6, 902) = 2706

GCD(6, 902) = ( 6 x 902 ) / 2706

GCD(6, 902) = 5412 / 2706

GCD(6, 902) = 2

GCD of 390, 726, 902 is 2

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• GCD of 141, 252, 200
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1. What is the GCD of 390, 726, 902?

GCD of 390, 726, 902 is 2

2. Where do I get the detailed procedure to find GCD of 390, 726, 902?

You can find a detailed procedure to find GCD of 390, 726, 902 on our page.

3. How to find GCD of 390, 726, 902 on a calculator?

You can find the GCD of 390, 726, 902 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.