GCD of 184, 744, 493, 680 Calculator

Given Input numbers are 184, 744, 493, 680

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

Divisors of 184

List of positive integer divisors of 184 that divides 184 without a remainder.

1, 2, 4, 8, 23, 46, 92, 184

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 493

List of positive integer divisors of 493 that divides 493 without a remainder.

1, 17, 29, 493

Divisors of 680

List of positive integer divisors of 680 that divides 680 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Greatest Common Divisior

We found the divisors of 184, 744, 493, 680 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 184, 744, 493, 680 is 1.

Therefore, GCD of numbers 184, 744, 493, 680 is 1

Given Input Data is 184, 744, 493, 680

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

Prime Factorization of 184 is 2 x 2 x 2 x 23

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

Prime Factorization of 493 is 17 x 29

Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17

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(184, 744) = 17112

GCD(184, 744) = ( 184 x 744 ) / 17112

GCD(184, 744) = 136896 / 17112

GCD(184, 744) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 493

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

LCM(8, 493) = 3944

GCD(8, 493) = ( 8 x 493 ) / 3944

GCD(8, 493) = 3944 / 3944

GCD(8, 493) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 680

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

LCM(1, 680) = 680

GCD(1, 680) = ( 1 x 680 ) / 680

GCD(1, 680) = 680 / 680

GCD(1, 680) = 1

GCD of 184, 744, 493, 680 is 1

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• GCD of 304, 802, 874, 516
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1. What is the GCD of 184, 744, 493, 680?

GCD of 184, 744, 493, 680 is 1

2. Where do I get the detailed procedure to find GCD of 184, 744, 493, 680?

You can find a detailed procedure to find GCD of 184, 744, 493, 680 on our page.

3. How to find GCD of 184, 744, 493, 680 on a calculator?

You can find the GCD of 184, 744, 493, 680 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.