GCD of 736, 230, 196 Calculator

Given Input numbers are 736, 230, 196

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

Divisors of 736

List of positive integer divisors of 736 that divides 736 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

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 196

List of positive integer divisors of 196 that divides 196 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196

Greatest Common Divisior

We found the divisors of 736, 230, 196 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 736, 230, 196 is 2.

Therefore, GCD of numbers 736, 230, 196 is 2

Given Input Data is 736, 230, 196

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

Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23

Prime Factorization of 230 is 2 x 5 x 23

Prime Factorization of 196 is 2 x 2 x 7 x 7

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(736, 230) = 3680

GCD(736, 230) = ( 736 x 230 ) / 3680

GCD(736, 230) = 169280 / 3680

GCD(736, 230) = 46

Step2:

Here we consider the GCD from the above i.e. 46 as first number and the next as 196

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

LCM(46, 196) = 4508

GCD(46, 196) = ( 46 x 196 ) / 4508

GCD(46, 196) = 9016 / 4508

GCD(46, 196) = 2

GCD of 736, 230, 196 is 2

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• GCD of 690, 603, 733
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1. What is the GCD of 736, 230, 196?

GCD of 736, 230, 196 is 2

2. Where do I get the detailed procedure to find GCD of 736, 230, 196?

You can find a detailed procedure to find GCD of 736, 230, 196 on our page.

3. How to find GCD of 736, 230, 196 on a calculator?

You can find the GCD of 736, 230, 196 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.