GCD of 143, 149, 54, 190 Calculator

Given Input numbers are 143, 149, 54, 190

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

Divisors of 143

List of positive integer divisors of 143 that divides 143 without a remainder.

1, 11, 13, 143

Divisors of 149

List of positive integer divisors of 149 that divides 149 without a remainder.

1, 149

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

Divisors of 190

List of positive integer divisors of 190 that divides 190 without a remainder.

1, 2, 5, 10, 19, 38, 95, 190

Greatest Common Divisior

We found the divisors of 143, 149, 54, 190 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 143, 149, 54, 190 is 1.

Therefore, GCD of numbers 143, 149, 54, 190 is 1

Given Input Data is 143, 149, 54, 190

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

Prime Factorization of 143 is 11 x 13

Prime Factorization of 149 is 149

Prime Factorization of 54 is 2 x 3 x 3 x 3

Prime Factorization of 190 is 2 x 5 x 19

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(143, 149) = 21307

GCD(143, 149) = ( 143 x 149 ) / 21307

GCD(143, 149) = 21307 / 21307

GCD(143, 149) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 54

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

LCM(1, 54) = 54

GCD(1, 54) = ( 1 x 54 ) / 54

GCD(1, 54) = 54 / 54

GCD(1, 54) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 190

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

LCM(1, 190) = 190

GCD(1, 190) = ( 1 x 190 ) / 190

GCD(1, 190) = 190 / 190

GCD(1, 190) = 1

GCD of 143, 149, 54, 190 is 1

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1. What is the GCD of 143, 149, 54, 190?

GCD of 143, 149, 54, 190 is 1

2. Where do I get the detailed procedure to find GCD of 143, 149, 54, 190?

You can find a detailed procedure to find GCD of 143, 149, 54, 190 on our page.

3. How to find GCD of 143, 149, 54, 190 on a calculator?

You can find the GCD of 143, 149, 54, 190 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.