GCD of 478, 960, 157, 230 Calculator

Given Input numbers are 478, 960, 157, 230

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

Divisors of 478

List of positive integer divisors of 478 that divides 478 without a remainder.

1, 2, 239, 478

Divisors of 960

List of positive integer divisors of 960 that divides 960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 157

List of positive integer divisors of 157 that divides 157 without a remainder.

1, 157

Divisors of 230

List of positive integer divisors of 230 that divides 230 without a remainder.

1, 2, 5, 10, 23, 46, 115, 230

Greatest Common Divisior

We found the divisors of 478, 960, 157, 230 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 478, 960, 157, 230 is 1.

Therefore, GCD of numbers 478, 960, 157, 230 is 1

Given Input Data is 478, 960, 157, 230

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

Prime Factorization of 478 is 2 x 239

Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 157 is 157

Prime Factorization of 230 is 2 x 5 x 23

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(478, 960) = 229440

GCD(478, 960) = ( 478 x 960 ) / 229440

GCD(478, 960) = 458880 / 229440

GCD(478, 960) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 157

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

LCM(2, 157) = 314

GCD(2, 157) = ( 2 x 157 ) / 314

GCD(2, 157) = 314 / 314

GCD(2, 157) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 230

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

LCM(1, 230) = 230

GCD(1, 230) = ( 1 x 230 ) / 230

GCD(1, 230) = 230 / 230

GCD(1, 230) = 1

GCD of 478, 960, 157, 230 is 1

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1. What is the GCD of 478, 960, 157, 230?

GCD of 478, 960, 157, 230 is 1

2. Where do I get the detailed procedure to find GCD of 478, 960, 157, 230?

You can find a detailed procedure to find GCD of 478, 960, 157, 230 on our page.

3. How to find GCD of 478, 960, 157, 230 on a calculator?

You can find the GCD of 478, 960, 157, 230 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.