GCD of 785, 527, 47, 961 Calculator

Given Input numbers are 785, 527, 47, 961

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

Divisors of 785

List of positive integer divisors of 785 that divides 785 without a remainder.

1, 5, 157, 785

Divisors of 527

List of positive integer divisors of 527 that divides 527 without a remainder.

1, 17, 31, 527

Divisors of 47

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

1, 47

Divisors of 961

List of positive integer divisors of 961 that divides 961 without a remainder.

1, 31, 961

Greatest Common Divisior

We found the divisors of 785, 527, 47, 961 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 785, 527, 47, 961 is 1.

Therefore, GCD of numbers 785, 527, 47, 961 is 1

Given Input Data is 785, 527, 47, 961

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

Prime Factorization of 785 is 5 x 157

Prime Factorization of 527 is 17 x 31

Prime Factorization of 47 is 47

Prime Factorization of 961 is 31 x 31

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(785, 527) = 413695

GCD(785, 527) = ( 785 x 527 ) / 413695

GCD(785, 527) = 413695 / 413695

GCD(785, 527) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 47

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

LCM(1, 47) = 47

GCD(1, 47) = ( 1 x 47 ) / 47

GCD(1, 47) = 47 / 47

GCD(1, 47) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 961

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

LCM(1, 961) = 961

GCD(1, 961) = ( 1 x 961 ) / 961

GCD(1, 961) = 961 / 961

GCD(1, 961) = 1

GCD of 785, 527, 47, 961 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 181, 668, 14, 529
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1. What is the GCD of 785, 527, 47, 961?

GCD of 785, 527, 47, 961 is 1

2. Where do I get the detailed procedure to find GCD of 785, 527, 47, 961?

You can find a detailed procedure to find GCD of 785, 527, 47, 961 on our page.

3. How to find GCD of 785, 527, 47, 961 on a calculator?

You can find the GCD of 785, 527, 47, 961 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.