GCD of 105, 388, 83, 131 Calculator

Given Input numbers are 105, 388, 83, 131

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

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 388

List of positive integer divisors of 388 that divides 388 without a remainder.

1, 2, 4, 97, 194, 388

Divisors of 83

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

Divisors of 131

List of positive integer divisors of 131 that divides 131 without a remainder.

1, 131

Greatest Common Divisior

We found the divisors of 105, 388, 83, 131 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 105, 388, 83, 131 is 1.

Therefore, GCD of numbers 105, 388, 83, 131 is 1

Given Input Data is 105, 388, 83, 131

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

Prime Factorization of 105 is 3 x 5 x 7

Prime Factorization of 388 is 2 x 2 x 97

Prime Factorization of 83 is 83

Prime Factorization of 131 is 131

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(105, 388) = 40740

GCD(105, 388) = ( 105 x 388 ) / 40740

GCD(105, 388) = 40740 / 40740

GCD(105, 388) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 83

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

LCM(1, 83) = 83

GCD(1, 83) = ( 1 x 83 ) / 83

GCD(1, 83) = 83 / 83

GCD(1, 83) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 131

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

LCM(1, 131) = 131

GCD(1, 131) = ( 1 x 131 ) / 131

GCD(1, 131) = 131 / 131

GCD(1, 131) = 1

GCD of 105, 388, 83, 131 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 340, 359, 53, 375
• GCD of 249, 547, 97, 368
• GCD of 588, 189, 49, 162
• GCD of 795, 148, 26, 539
• GCD of 828, 727, 79, 983

1. What is the GCD of 105, 388, 83, 131?

GCD of 105, 388, 83, 131 is 1

2. Where do I get the detailed procedure to find GCD of 105, 388, 83, 131?

You can find a detailed procedure to find GCD of 105, 388, 83, 131 on our page.

3. How to find GCD of 105, 388, 83, 131 on a calculator?

You can find the GCD of 105, 388, 83, 131 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.