GCD of 744, 656, 71, 454 Calculator

Given Input numbers are 744, 656, 71, 454

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 656

List of positive integer divisors of 656 that divides 656 without a remainder.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 454

List of positive integer divisors of 454 that divides 454 without a remainder.

1, 2, 227, 454

Greatest Common Divisior

We found the divisors of 744, 656, 71, 454 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 744, 656, 71, 454 is 1.

Therefore, GCD of numbers 744, 656, 71, 454 is 1

Given Input Data is 744, 656, 71, 454

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 656 is 2 x 2 x 2 x 2 x 41

Prime Factorization of 71 is 71

Prime Factorization of 454 is 2 x 227

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, 656) = 61008

GCD(744, 656) = ( 744 x 656 ) / 61008

GCD(744, 656) = 488064 / 61008

GCD(744, 656) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 71

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

LCM(8, 71) = 568

GCD(8, 71) = ( 8 x 71 ) / 568

GCD(8, 71) = 568 / 568

GCD(8, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 454

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

LCM(1, 454) = 454

GCD(1, 454) = ( 1 x 454 ) / 454

GCD(1, 454) = 454 / 454

GCD(1, 454) = 1

GCD of 744, 656, 71, 454 is 1

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1. What is the GCD of 744, 656, 71, 454?

GCD of 744, 656, 71, 454 is 1

2. Where do I get the detailed procedure to find GCD of 744, 656, 71, 454?

You can find a detailed procedure to find GCD of 744, 656, 71, 454 on our page.

3. How to find GCD of 744, 656, 71, 454 on a calculator?

You can find the GCD of 744, 656, 71, 454 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.