GCD of 736, 300, 194 Calculator

Given Input numbers are 736, 300, 194

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 300

List of positive integer divisors of 300 that divides 300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 194

List of positive integer divisors of 194 that divides 194 without a remainder.

1, 2, 97, 194

Greatest Common Divisior

We found the divisors of 736, 300, 194 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 736, 300, 194 is 2.

Therefore, GCD of numbers 736, 300, 194 is 2

Given Input Data is 736, 300, 194

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 300 is 2 x 2 x 3 x 5 x 5

Prime Factorization of 194 is 2 x 97

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, 300) = 55200

GCD(736, 300) = ( 736 x 300 ) / 55200

GCD(736, 300) = 220800 / 55200

GCD(736, 300) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 194

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

LCM(4, 194) = 388

GCD(4, 194) = ( 4 x 194 ) / 388

GCD(4, 194) = 776 / 388

GCD(4, 194) = 2

GCD of 736, 300, 194 is 2

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• GCD of 947, 454, 814
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1. What is the GCD of 736, 300, 194?

GCD of 736, 300, 194 is 2

2. Where do I get the detailed procedure to find GCD of 736, 300, 194?

You can find a detailed procedure to find GCD of 736, 300, 194 on our page.

3. How to find GCD of 736, 300, 194 on a calculator?

You can find the GCD of 736, 300, 194 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.