GCD of 230, 735, 96, 197 Calculator

Given Input numbers are 230, 735, 96, 197

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

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 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 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Divisors of 197

List of positive integer divisors of 197 that divides 197 without a remainder.

1, 197

Greatest Common Divisior

We found the divisors of 230, 735, 96, 197 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 230, 735, 96, 197 is 1.

Therefore, GCD of numbers 230, 735, 96, 197 is 1

Given Input Data is 230, 735, 96, 197

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

Prime Factorization of 230 is 2 x 5 x 23

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

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 197 is 197

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(230, 735) = 33810

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

GCD(230, 735) = 169050 / 33810

GCD(230, 735) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 96

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

LCM(5, 96) = 480

GCD(5, 96) = ( 5 x 96 ) / 480

GCD(5, 96) = 480 / 480

GCD(5, 96) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 197

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

LCM(1, 197) = 197

GCD(1, 197) = ( 1 x 197 ) / 197

GCD(1, 197) = 197 / 197

GCD(1, 197) = 1

GCD of 230, 735, 96, 197 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 738, 963, 59, 983
• GCD of 200, 733, 29, 437
• GCD of 616, 449, 30, 910
• GCD of 238, 660, 95, 976
• GCD of 714, 526, 22, 737

1. What is the GCD of 230, 735, 96, 197?

GCD of 230, 735, 96, 197 is 1

2. Where do I get the detailed procedure to find GCD of 230, 735, 96, 197?

You can find a detailed procedure to find GCD of 230, 735, 96, 197 on our page.

3. How to find GCD of 230, 735, 96, 197 on a calculator?

You can find the GCD of 230, 735, 96, 197 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.