GCD of 975, 388, 49, 115 Calculator

Given Input numbers are 975, 388, 49, 115

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

Divisors of 975

List of positive integer divisors of 975 that divides 975 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 388

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

1, 2, 4, 97, 194, 388

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 115

List of positive integer divisors of 115 that divides 115 without a remainder.

1, 5, 23, 115

Greatest Common Divisior

We found the divisors of 975, 388, 49, 115 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 975, 388, 49, 115 is 1.

Therefore, GCD of numbers 975, 388, 49, 115 is 1

Given Input Data is 975, 388, 49, 115

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

Prime Factorization of 975 is 3 x 5 x 5 x 13

Prime Factorization of 388 is 2 x 2 x 97

Prime Factorization of 49 is 7 x 7

Prime Factorization of 115 is 5 x 23

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(975, 388) = 378300

GCD(975, 388) = ( 975 x 388 ) / 378300

GCD(975, 388) = 378300 / 378300

GCD(975, 388) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 49

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

LCM(1, 49) = 49

GCD(1, 49) = ( 1 x 49 ) / 49

GCD(1, 49) = 49 / 49

GCD(1, 49) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 115

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

LCM(1, 115) = 115

GCD(1, 115) = ( 1 x 115 ) / 115

GCD(1, 115) = 115 / 115

GCD(1, 115) = 1

GCD of 975, 388, 49, 115 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 985, 361, 21, 159
• GCD of 523, 573, 39, 326
• GCD of 468, 539, 22, 569
• GCD of 478, 589, 23, 427
• GCD of 411, 283, 71, 674

1. What is the GCD of 975, 388, 49, 115?

GCD of 975, 388, 49, 115 is 1

2. Where do I get the detailed procedure to find GCD of 975, 388, 49, 115?

You can find a detailed procedure to find GCD of 975, 388, 49, 115 on our page.

3. How to find GCD of 975, 388, 49, 115 on a calculator?

You can find the GCD of 975, 388, 49, 115 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.