GCD of 744, 678, 491, 234 Calculator

Given Input numbers are 744, 678, 491, 234

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 678

List of positive integer divisors of 678 that divides 678 without a remainder.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 491

List of positive integer divisors of 491 that divides 491 without a remainder.

1, 491

Divisors of 234

List of positive integer divisors of 234 that divides 234 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

Greatest Common Divisior

We found the divisors of 744, 678, 491, 234 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 744, 678, 491, 234 is 1.

Therefore, GCD of numbers 744, 678, 491, 234 is 1

Given Input Data is 744, 678, 491, 234

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 678 is 2 x 3 x 113

Prime Factorization of 491 is 491

Prime Factorization of 234 is 2 x 3 x 3 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, 678) = 84072

GCD(744, 678) = ( 744 x 678 ) / 84072

GCD(744, 678) = 504432 / 84072

GCD(744, 678) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 491

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

LCM(6, 491) = 2946

GCD(6, 491) = ( 6 x 491 ) / 2946

GCD(6, 491) = 2946 / 2946

GCD(6, 491) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 234

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

LCM(1, 234) = 234

GCD(1, 234) = ( 1 x 234 ) / 234

GCD(1, 234) = 234 / 234

GCD(1, 234) = 1

GCD of 744, 678, 491, 234 is 1

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1. What is the GCD of 744, 678, 491, 234?

GCD of 744, 678, 491, 234 is 1

2. Where do I get the detailed procedure to find GCD of 744, 678, 491, 234?

You can find a detailed procedure to find GCD of 744, 678, 491, 234 on our page.

3. How to find GCD of 744, 678, 491, 234 on a calculator?

You can find the GCD of 744, 678, 491, 234 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.