GCD of 39, 501, 703, 906 Calculator

Given Input numbers are 39, 501, 703, 906

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

Divisors of 39

List of positive integer divisors of 39 that divides 39 without a remainder.

1, 3, 13, 39

Divisors of 501

List of positive integer divisors of 501 that divides 501 without a remainder.

1, 3, 167, 501

Divisors of 703

List of positive integer divisors of 703 that divides 703 without a remainder.

1, 19, 37, 703

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 39, 501, 703, 906 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 39, 501, 703, 906 is 1.

Therefore, GCD of numbers 39, 501, 703, 906 is 1

Given Input Data is 39, 501, 703, 906

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

Prime Factorization of 39 is 3 x 13

Prime Factorization of 501 is 3 x 167

Prime Factorization of 703 is 19 x 37

Prime Factorization of 906 is 2 x 3 x 151

The above numbers do not have any common prime factor. So GCD is 1

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(39, 501) = 6513

GCD(39, 501) = ( 39 x 501 ) / 6513

GCD(39, 501) = 19539 / 6513

GCD(39, 501) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 703

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

LCM(3, 703) = 2109

GCD(3, 703) = ( 3 x 703 ) / 2109

GCD(3, 703) = 2109 / 2109

GCD(3, 703) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 906

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

LCM(1, 906) = 906

GCD(1, 906) = ( 1 x 906 ) / 906

GCD(1, 906) = 906 / 906

GCD(1, 906) = 1

GCD of 39, 501, 703, 906 is 1

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1. What is the GCD of 39, 501, 703, 906?

GCD of 39, 501, 703, 906 is 1

2. Where do I get the detailed procedure to find GCD of 39, 501, 703, 906?

You can find a detailed procedure to find GCD of 39, 501, 703, 906 on our page.

3. How to find GCD of 39, 501, 703, 906 on a calculator?

You can find the GCD of 39, 501, 703, 906 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.