GCD of 458, 180, 448, 139 Calculator

Given Input numbers are 458, 180, 448, 139

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

Divisors of 458

List of positive integer divisors of 458 that divides 458 without a remainder.

1, 2, 229, 458

Divisors of 180

List of positive integer divisors of 180 that divides 180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 448

List of positive integer divisors of 448 that divides 448 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

Divisors of 139

List of positive integer divisors of 139 that divides 139 without a remainder.

1, 139

Greatest Common Divisior

We found the divisors of 458, 180, 448, 139 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 458, 180, 448, 139 is 1.

Therefore, GCD of numbers 458, 180, 448, 139 is 1

Given Input Data is 458, 180, 448, 139

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

Prime Factorization of 458 is 2 x 229

Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5

Prime Factorization of 448 is 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 139 is 139

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(458, 180) = 41220

GCD(458, 180) = ( 458 x 180 ) / 41220

GCD(458, 180) = 82440 / 41220

GCD(458, 180) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 448

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

LCM(2, 448) = 448

GCD(2, 448) = ( 2 x 448 ) / 448

GCD(2, 448) = 896 / 448

GCD(2, 448) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 139

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

LCM(2, 139) = 278

GCD(2, 139) = ( 2 x 139 ) / 278

GCD(2, 139) = 278 / 278

GCD(2, 139) = 1

GCD of 458, 180, 448, 139 is 1

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1. What is the GCD of 458, 180, 448, 139?

GCD of 458, 180, 448, 139 is 1

2. Where do I get the detailed procedure to find GCD of 458, 180, 448, 139?

You can find a detailed procedure to find GCD of 458, 180, 448, 139 on our page.

3. How to find GCD of 458, 180, 448, 139 on a calculator?

You can find the GCD of 458, 180, 448, 139 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.