GCD of 521, 115, 748, 785 Calculator

Given Input numbers are 521, 115, 748, 785

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

Divisors of 521

List of positive integer divisors of 521 that divides 521 without a remainder.

1, 521

Divisors of 115

List of positive integer divisors of 115 that divides 115 without a remainder.

1, 5, 23, 115

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 785

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

1, 5, 157, 785

Greatest Common Divisior

We found the divisors of 521, 115, 748, 785 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 521, 115, 748, 785 is 1.

Therefore, GCD of numbers 521, 115, 748, 785 is 1

Given Input Data is 521, 115, 748, 785

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

Prime Factorization of 521 is 521

Prime Factorization of 115 is 5 x 23

Prime Factorization of 748 is 2 x 2 x 11 x 17

Prime Factorization of 785 is 5 x 157

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(521, 115) = 59915

GCD(521, 115) = ( 521 x 115 ) / 59915

GCD(521, 115) = 59915 / 59915

GCD(521, 115) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 748

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

LCM(1, 748) = 748

GCD(1, 748) = ( 1 x 748 ) / 748

GCD(1, 748) = 748 / 748

GCD(1, 748) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 785

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

LCM(1, 785) = 785

GCD(1, 785) = ( 1 x 785 ) / 785

GCD(1, 785) = 785 / 785

GCD(1, 785) = 1

GCD of 521, 115, 748, 785 is 1

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1. What is the GCD of 521, 115, 748, 785?

GCD of 521, 115, 748, 785 is 1

2. Where do I get the detailed procedure to find GCD of 521, 115, 748, 785?

You can find a detailed procedure to find GCD of 521, 115, 748, 785 on our page.

3. How to find GCD of 521, 115, 748, 785 on a calculator?

You can find the GCD of 521, 115, 748, 785 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.