GCD of 903, 147, 582, 906 Calculator

Given Input numbers are 903, 147, 582, 906

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

Divisors of 903

List of positive integer divisors of 903 that divides 903 without a remainder.

1, 3, 7, 21, 43, 129, 301, 903

Divisors of 147

List of positive integer divisors of 147 that divides 147 without a remainder.

1, 3, 7, 21, 49, 147

Divisors of 582

List of positive integer divisors of 582 that divides 582 without a remainder.

1, 2, 3, 6, 97, 194, 291, 582

Divisors of 906

List of positive integer divisors of 906 that divides 906 without a remainder.

1, 2, 3, 6, 151, 302, 453, 906

Greatest Common Divisior

We found the divisors of 903, 147, 582, 906 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 903, 147, 582, 906 is 3.

Therefore, GCD of numbers 903, 147, 582, 906 is 3

Given Input Data is 903, 147, 582, 906

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

Prime Factorization of 903 is 3 x 7 x 43

Prime Factorization of 147 is 3 x 7 x 7

Prime Factorization of 582 is 2 x 3 x 97

Prime Factorization of 906 is 2 x 3 x 151

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(903, 147) = 6321

GCD(903, 147) = ( 903 x 147 ) / 6321

GCD(903, 147) = 132741 / 6321

GCD(903, 147) = 21

Step2:

Here we consider the GCD from the above i.e. 21 as first number and the next as 582

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

LCM(21, 582) = 4074

GCD(21, 582) = ( 21 x 582 ) / 4074

GCD(21, 582) = 12222 / 4074

GCD(21, 582) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 906

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

LCM(3, 906) = 906

GCD(3, 906) = ( 3 x 906 ) / 906

GCD(3, 906) = 2718 / 906

GCD(3, 906) = 3

GCD of 903, 147, 582, 906 is 3

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1. What is the GCD of 903, 147, 582, 906?

GCD of 903, 147, 582, 906 is 3

2. Where do I get the detailed procedure to find GCD of 903, 147, 582, 906?

You can find a detailed procedure to find GCD of 903, 147, 582, 906 on our page.

3. How to find GCD of 903, 147, 582, 906 on a calculator?

You can find the GCD of 903, 147, 582, 906 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.