GCD of 744, 471, 44, 208 Calculator

Given Input numbers are 744, 471, 44, 208

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

Divisors of 744

List of positive integer divisors of 744 that divides 744 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Divisors of 471

List of positive integer divisors of 471 that divides 471 without a remainder.

1, 3, 157, 471

Divisors of 44

List of positive integer divisors of 44 that divides 44 without a remainder.

1, 2, 4, 11, 22, 44

Divisors of 208

List of positive integer divisors of 208 that divides 208 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Greatest Common Divisior

We found the divisors of 744, 471, 44, 208 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 744, 471, 44, 208 is 1.

Therefore, GCD of numbers 744, 471, 44, 208 is 1

Given Input Data is 744, 471, 44, 208

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

Prime Factorization of 744 is 2 x 2 x 2 x 3 x 31

Prime Factorization of 471 is 3 x 157

Prime Factorization of 44 is 2 x 2 x 11

Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13

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(744, 471) = 116808

GCD(744, 471) = ( 744 x 471 ) / 116808

GCD(744, 471) = 350424 / 116808

GCD(744, 471) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 44

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

LCM(3, 44) = 132

GCD(3, 44) = ( 3 x 44 ) / 132

GCD(3, 44) = 132 / 132

GCD(3, 44) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 208

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

LCM(1, 208) = 208

GCD(1, 208) = ( 1 x 208 ) / 208

GCD(1, 208) = 208 / 208

GCD(1, 208) = 1

GCD of 744, 471, 44, 208 is 1

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1. What is the GCD of 744, 471, 44, 208?

GCD of 744, 471, 44, 208 is 1

2. Where do I get the detailed procedure to find GCD of 744, 471, 44, 208?

You can find a detailed procedure to find GCD of 744, 471, 44, 208 on our page.

3. How to find GCD of 744, 471, 44, 208 on a calculator?

You can find the GCD of 744, 471, 44, 208 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.