GCD of 48, 380, 595, 249 Calculator

Given Input numbers are 48, 380, 595, 249

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

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 380

List of positive integer divisors of 380 that divides 380 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 595

List of positive integer divisors of 595 that divides 595 without a remainder.

1, 5, 7, 17, 35, 85, 119, 595

Divisors of 249

List of positive integer divisors of 249 that divides 249 without a remainder.

1, 3, 83, 249

Greatest Common Divisior

We found the divisors of 48, 380, 595, 249 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 48, 380, 595, 249 is 1.

Therefore, GCD of numbers 48, 380, 595, 249 is 1

Given Input Data is 48, 380, 595, 249

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

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Prime Factorization of 380 is 2 x 2 x 5 x 19

Prime Factorization of 595 is 5 x 7 x 17

Prime Factorization of 249 is 3 x 83

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(48, 380) = 4560

GCD(48, 380) = ( 48 x 380 ) / 4560

GCD(48, 380) = 18240 / 4560

GCD(48, 380) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 595

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

LCM(4, 595) = 2380

GCD(4, 595) = ( 4 x 595 ) / 2380

GCD(4, 595) = 2380 / 2380

GCD(4, 595) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 249

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

LCM(1, 249) = 249

GCD(1, 249) = ( 1 x 249 ) / 249

GCD(1, 249) = 249 / 249

GCD(1, 249) = 1

GCD of 48, 380, 595, 249 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 41, 423, 622, 502
• GCD of 92, 716, 888, 117
• GCD of 39, 736, 334, 112
• GCD of 33, 752, 131, 888
• GCD of 46, 471, 601, 183

1. What is the GCD of 48, 380, 595, 249?

GCD of 48, 380, 595, 249 is 1

2. Where do I get the detailed procedure to find GCD of 48, 380, 595, 249?

You can find a detailed procedure to find GCD of 48, 380, 595, 249 on our page.

3. How to find GCD of 48, 380, 595, 249 on a calculator?

You can find the GCD of 48, 380, 595, 249 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.