GCD of 735, 230, 28, 203 Calculator

Given Input numbers are 735, 230, 28, 203

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 230

List of positive integer divisors of 230 that divides 230 without a remainder.

1, 2, 5, 10, 23, 46, 115, 230

Divisors of 28

List of positive integer divisors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14, 28

Divisors of 203

List of positive integer divisors of 203 that divides 203 without a remainder.

1, 7, 29, 203

Greatest Common Divisior

We found the divisors of 735, 230, 28, 203 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 735, 230, 28, 203 is 1.

Therefore, GCD of numbers 735, 230, 28, 203 is 1

Given Input Data is 735, 230, 28, 203

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 230 is 2 x 5 x 23

Prime Factorization of 28 is 2 x 2 x 7

Prime Factorization of 203 is 7 x 29

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, 230) = 33810

GCD(735, 230) = ( 735 x 230 ) / 33810

GCD(735, 230) = 169050 / 33810

GCD(735, 230) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 28

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

LCM(5, 28) = 140

GCD(5, 28) = ( 5 x 28 ) / 140

GCD(5, 28) = 140 / 140

GCD(5, 28) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 203

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

LCM(1, 203) = 203

GCD(1, 203) = ( 1 x 203 ) / 203

GCD(1, 203) = 203 / 203

GCD(1, 203) = 1

GCD of 735, 230, 28, 203 is 1

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1. What is the GCD of 735, 230, 28, 203?

GCD of 735, 230, 28, 203 is 1

2. Where do I get the detailed procedure to find GCD of 735, 230, 28, 203?

You can find a detailed procedure to find GCD of 735, 230, 28, 203 on our page.

3. How to find GCD of 735, 230, 28, 203 on a calculator?

You can find the GCD of 735, 230, 28, 203 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.