GCD of 482, 760, 144, 123 Calculator

Given Input numbers are 482, 760, 144, 123

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

Divisors of 482

List of positive integer divisors of 482 that divides 482 without a remainder.

1, 2, 241, 482

Divisors of 760

List of positive integer divisors of 760 that divides 760 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Divisors of 144

List of positive integer divisors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 123

List of positive integer divisors of 123 that divides 123 without a remainder.

1, 3, 41, 123

Greatest Common Divisior

We found the divisors of 482, 760, 144, 123 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 482, 760, 144, 123 is 1.

Therefore, GCD of numbers 482, 760, 144, 123 is 1

Given Input Data is 482, 760, 144, 123

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

Prime Factorization of 482 is 2 x 241

Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19

Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 123 is 3 x 41

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(482, 760) = 183160

GCD(482, 760) = ( 482 x 760 ) / 183160

GCD(482, 760) = 366320 / 183160

GCD(482, 760) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 144

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

LCM(2, 144) = 144

GCD(2, 144) = ( 2 x 144 ) / 144

GCD(2, 144) = 288 / 144

GCD(2, 144) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 123

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

LCM(2, 123) = 246

GCD(2, 123) = ( 2 x 123 ) / 246

GCD(2, 123) = 246 / 246

GCD(2, 123) = 1

GCD of 482, 760, 144, 123 is 1

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1. What is the GCD of 482, 760, 144, 123?

GCD of 482, 760, 144, 123 is 1

2. Where do I get the detailed procedure to find GCD of 482, 760, 144, 123?

You can find a detailed procedure to find GCD of 482, 760, 144, 123 on our page.

3. How to find GCD of 482, 760, 144, 123 on a calculator?

You can find the GCD of 482, 760, 144, 123 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.