GCD of 184, 408, 118, 743 Calculator

Given Input numbers are 184, 408, 118, 743

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 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 118

List of positive integer divisors of 118 that divides 118 without a remainder.

1, 2, 59, 118

Divisors of 743

List of positive integer divisors of 743 that divides 743 without a remainder.

1, 743

Greatest Common Divisior

We found the divisors of 184, 408, 118, 743 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 184, 408, 118, 743 is 1.

Therefore, GCD of numbers 184, 408, 118, 743 is 1

Given Input Data is 184, 408, 118, 743

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 408 is 2 x 2 x 2 x 3 x 17

Prime Factorization of 118 is 2 x 59

Prime Factorization of 743 is 743

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, 408) = 9384

GCD(184, 408) = ( 184 x 408 ) / 9384

GCD(184, 408) = 75072 / 9384

GCD(184, 408) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 118

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

LCM(8, 118) = 472

GCD(8, 118) = ( 8 x 118 ) / 472

GCD(8, 118) = 944 / 472

GCD(8, 118) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 743

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

LCM(2, 743) = 1486

GCD(2, 743) = ( 2 x 743 ) / 1486

GCD(2, 743) = 1486 / 1486

GCD(2, 743) = 1

GCD of 184, 408, 118, 743 is 1

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• GCD of 111, 510, 625, 297
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1. What is the GCD of 184, 408, 118, 743?

GCD of 184, 408, 118, 743 is 1

2. Where do I get the detailed procedure to find GCD of 184, 408, 118, 743?

You can find a detailed procedure to find GCD of 184, 408, 118, 743 on our page.

3. How to find GCD of 184, 408, 118, 743 on a calculator?

You can find the GCD of 184, 408, 118, 743 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.