GCD of 735, 527, 793, 473 Calculator

Given Input numbers are 735, 527, 793, 473

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

Divisors of 735

List of positive integer divisors of 735 that divides 735 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 527

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

1, 17, 31, 527

Divisors of 793

List of positive integer divisors of 793 that divides 793 without a remainder.

1, 13, 61, 793

Divisors of 473

List of positive integer divisors of 473 that divides 473 without a remainder.

1, 11, 43, 473

Greatest Common Divisior

We found the divisors of 735, 527, 793, 473 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 735, 527, 793, 473 is 1.

Therefore, GCD of numbers 735, 527, 793, 473 is 1

Given Input Data is 735, 527, 793, 473

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

Prime Factorization of 735 is 3 x 5 x 7 x 7

Prime Factorization of 527 is 17 x 31

Prime Factorization of 793 is 13 x 61

Prime Factorization of 473 is 11 x 43

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(735, 527) = 387345

GCD(735, 527) = ( 735 x 527 ) / 387345

GCD(735, 527) = 387345 / 387345

GCD(735, 527) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 793

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

LCM(1, 793) = 793

GCD(1, 793) = ( 1 x 793 ) / 793

GCD(1, 793) = 793 / 793

GCD(1, 793) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 473

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

LCM(1, 473) = 473

GCD(1, 473) = ( 1 x 473 ) / 473

GCD(1, 473) = 473 / 473

GCD(1, 473) = 1

GCD of 735, 527, 793, 473 is 1

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1. What is the GCD of 735, 527, 793, 473?

GCD of 735, 527, 793, 473 is 1

2. Where do I get the detailed procedure to find GCD of 735, 527, 793, 473?

You can find a detailed procedure to find GCD of 735, 527, 793, 473 on our page.

3. How to find GCD of 735, 527, 793, 473 on a calculator?

You can find the GCD of 735, 527, 793, 473 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.