GCD of 906, 780, 47, 704 Calculator

Given Input numbers are 906, 780, 47, 704

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

Divisors of 906

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

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

Divisors of 780

List of positive integer divisors of 780 that divides 780 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 47

List of positive integer divisors of 47 that divides 47 without a remainder.

1, 47

Divisors of 704

List of positive integer divisors of 704 that divides 704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Greatest Common Divisior

We found the divisors of 906, 780, 47, 704 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 906, 780, 47, 704 is 1.

Therefore, GCD of numbers 906, 780, 47, 704 is 1

Given Input Data is 906, 780, 47, 704

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

Prime Factorization of 906 is 2 x 3 x 151

Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13

Prime Factorization of 47 is 47

Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11

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(906, 780) = 117780

GCD(906, 780) = ( 906 x 780 ) / 117780

GCD(906, 780) = 706680 / 117780

GCD(906, 780) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 47

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

LCM(6, 47) = 282

GCD(6, 47) = ( 6 x 47 ) / 282

GCD(6, 47) = 282 / 282

GCD(6, 47) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 704

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

LCM(1, 704) = 704

GCD(1, 704) = ( 1 x 704 ) / 704

GCD(1, 704) = 704 / 704

GCD(1, 704) = 1

GCD of 906, 780, 47, 704 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 547, 877, 55, 532
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• GCD of 501, 532, 82, 488
• GCD of 466, 633, 66, 367
• GCD of 639, 736, 48, 814

1. What is the GCD of 906, 780, 47, 704?

GCD of 906, 780, 47, 704 is 1

2. Where do I get the detailed procedure to find GCD of 906, 780, 47, 704?

You can find a detailed procedure to find GCD of 906, 780, 47, 704 on our page.

3. How to find GCD of 906, 780, 47, 704 on a calculator?

You can find the GCD of 906, 780, 47, 704 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.