GCD of 119, 231, 743, 186 Calculator

Given Input numbers are 119, 231, 743, 186

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

Divisors of 119

List of positive integer divisors of 119 that divides 119 without a remainder.

1, 7, 17, 119

Divisors of 231

List of positive integer divisors of 231 that divides 231 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231

Divisors of 743

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

1, 743

Divisors of 186

List of positive integer divisors of 186 that divides 186 without a remainder.

1, 2, 3, 6, 31, 62, 93, 186

Greatest Common Divisior

We found the divisors of 119, 231, 743, 186 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 119, 231, 743, 186 is 1.

Therefore, GCD of numbers 119, 231, 743, 186 is 1

Given Input Data is 119, 231, 743, 186

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

Prime Factorization of 119 is 7 x 17

Prime Factorization of 231 is 3 x 7 x 11

Prime Factorization of 743 is 743

Prime Factorization of 186 is 2 x 3 x 31

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(119, 231) = 3927

GCD(119, 231) = ( 119 x 231 ) / 3927

GCD(119, 231) = 27489 / 3927

GCD(119, 231) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 743

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

LCM(7, 743) = 5201

GCD(7, 743) = ( 7 x 743 ) / 5201

GCD(7, 743) = 5201 / 5201

GCD(7, 743) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 186

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

LCM(1, 186) = 186

GCD(1, 186) = ( 1 x 186 ) / 186

GCD(1, 186) = 186 / 186

GCD(1, 186) = 1

GCD of 119, 231, 743, 186 is 1

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1. What is the GCD of 119, 231, 743, 186?

GCD of 119, 231, 743, 186 is 1

2. Where do I get the detailed procedure to find GCD of 119, 231, 743, 186?

You can find a detailed procedure to find GCD of 119, 231, 743, 186 on our page.

3. How to find GCD of 119, 231, 743, 186 on a calculator?

You can find the GCD of 119, 231, 743, 186 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.