GCD of 981, 131, 41, 109 Calculator

Given Input numbers are 981, 131, 41, 109

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

Divisors of 981

List of positive integer divisors of 981 that divides 981 without a remainder.

1, 3, 9, 109, 327, 981

Divisors of 131

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

1, 131

Divisors of 41

List of positive integer divisors of 41 that divides 41 without a remainder.

1, 41

Divisors of 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Greatest Common Divisior

We found the divisors of 981, 131, 41, 109 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 981, 131, 41, 109 is 1.

Therefore, GCD of numbers 981, 131, 41, 109 is 1

Given Input Data is 981, 131, 41, 109

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

Prime Factorization of 981 is 3 x 3 x 109

Prime Factorization of 131 is 131

Prime Factorization of 41 is 41

Prime Factorization of 109 is 109

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(981, 131) = 128511

GCD(981, 131) = ( 981 x 131 ) / 128511

GCD(981, 131) = 128511 / 128511

GCD(981, 131) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 41

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

LCM(1, 41) = 41

GCD(1, 41) = ( 1 x 41 ) / 41

GCD(1, 41) = 41 / 41

GCD(1, 41) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 109

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

LCM(1, 109) = 109

GCD(1, 109) = ( 1 x 109 ) / 109

GCD(1, 109) = 109 / 109

GCD(1, 109) = 1

GCD of 981, 131, 41, 109 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 266, 677, 89, 479
• GCD of 795, 360, 35, 398
• GCD of 864, 640, 51, 434
• GCD of 490, 482, 45, 213
• GCD of 210, 699, 91, 335

1. What is the GCD of 981, 131, 41, 109?

GCD of 981, 131, 41, 109 is 1

2. Where do I get the detailed procedure to find GCD of 981, 131, 41, 109?

You can find a detailed procedure to find GCD of 981, 131, 41, 109 on our page.

3. How to find GCD of 981, 131, 41, 109 on a calculator?

You can find the GCD of 981, 131, 41, 109 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.