GCD of 736, 549, 294 Calculator

Given Input numbers are 736, 549, 294

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 549

List of positive integer divisors of 549 that divides 549 without a remainder.

1, 3, 9, 61, 183, 549

Divisors of 294

List of positive integer divisors of 294 that divides 294 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Greatest Common Divisior

We found the divisors of 736, 549, 294 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 736, 549, 294 is 1.

Therefore, GCD of numbers 736, 549, 294 is 1

Given Input Data is 736, 549, 294

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 549 is 3 x 3 x 61

Prime Factorization of 294 is 2 x 3 x 7 x 7

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(736, 549) = 404064

GCD(736, 549) = ( 736 x 549 ) / 404064

GCD(736, 549) = 404064 / 404064

GCD(736, 549) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 294

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

LCM(1, 294) = 294

GCD(1, 294) = ( 1 x 294 ) / 294

GCD(1, 294) = 294 / 294

GCD(1, 294) = 1

GCD of 736, 549, 294 is 1

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1. What is the GCD of 736, 549, 294?

GCD of 736, 549, 294 is 1

2. Where do I get the detailed procedure to find GCD of 736, 549, 294?

You can find a detailed procedure to find GCD of 736, 549, 294 on our page.

3. How to find GCD of 736, 549, 294 on a calculator?

You can find the GCD of 736, 549, 294 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.