GCD of 48, 130, 395, 156 Calculator

Given Input numbers are 48, 130, 395, 156

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 130

List of positive integer divisors of 130 that divides 130 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130

Divisors of 395

List of positive integer divisors of 395 that divides 395 without a remainder.

1, 5, 79, 395

Divisors of 156

List of positive integer divisors of 156 that divides 156 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

Greatest Common Divisior

We found the divisors of 48, 130, 395, 156 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 48, 130, 395, 156 is 1.

Therefore, GCD of numbers 48, 130, 395, 156 is 1

Given Input Data is 48, 130, 395, 156

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 130 is 2 x 5 x 13

Prime Factorization of 395 is 5 x 79

Prime Factorization of 156 is 2 x 2 x 3 x 13

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, 130) = 3120

GCD(48, 130) = ( 48 x 130 ) / 3120

GCD(48, 130) = 6240 / 3120

GCD(48, 130) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 395

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

LCM(2, 395) = 790

GCD(2, 395) = ( 2 x 395 ) / 790

GCD(2, 395) = 790 / 790

GCD(2, 395) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 156

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

LCM(1, 156) = 156

GCD(1, 156) = ( 1 x 156 ) / 156

GCD(1, 156) = 156 / 156

GCD(1, 156) = 1

GCD of 48, 130, 395, 156 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 59, 905, 520, 432
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• GCD of 40, 575, 567, 955
• GCD of 15, 178, 229, 350

1. What is the GCD of 48, 130, 395, 156?

GCD of 48, 130, 395, 156 is 1

2. Where do I get the detailed procedure to find GCD of 48, 130, 395, 156?

You can find a detailed procedure to find GCD of 48, 130, 395, 156 on our page.

3. How to find GCD of 48, 130, 395, 156 on a calculator?

You can find the GCD of 48, 130, 395, 156 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.