GCD of 480, 885, 193, 114 Calculator

Given Input numbers are 480, 885, 193, 114

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

Divisors of 480

List of positive integer divisors of 480 that divides 480 without a remainder.

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

Divisors of 885

List of positive integer divisors of 885 that divides 885 without a remainder.

1, 3, 5, 15, 59, 177, 295, 885

Divisors of 193

List of positive integer divisors of 193 that divides 193 without a remainder.

1, 193

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Greatest Common Divisior

We found the divisors of 480, 885, 193, 114 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 480, 885, 193, 114 is 1.

Therefore, GCD of numbers 480, 885, 193, 114 is 1

Given Input Data is 480, 885, 193, 114

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

Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 885 is 3 x 5 x 59

Prime Factorization of 193 is 193

Prime Factorization of 114 is 2 x 3 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(480, 885) = 28320

GCD(480, 885) = ( 480 x 885 ) / 28320

GCD(480, 885) = 424800 / 28320

GCD(480, 885) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 193

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

LCM(15, 193) = 2895

GCD(15, 193) = ( 15 x 193 ) / 2895

GCD(15, 193) = 2895 / 2895

GCD(15, 193) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 114

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

LCM(1, 114) = 114

GCD(1, 114) = ( 1 x 114 ) / 114

GCD(1, 114) = 114 / 114

GCD(1, 114) = 1

GCD of 480, 885, 193, 114 is 1

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1. What is the GCD of 480, 885, 193, 114?

GCD of 480, 885, 193, 114 is 1

2. Where do I get the detailed procedure to find GCD of 480, 885, 193, 114?

You can find a detailed procedure to find GCD of 480, 885, 193, 114 on our page.

3. How to find GCD of 480, 885, 193, 114 on a calculator?

You can find the GCD of 480, 885, 193, 114 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.