GCD of 986, 935, 13, 541 Calculator

Given Input numbers are 986, 935, 13, 541

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

Divisors of 986

List of positive integer divisors of 986 that divides 986 without a remainder.

1, 2, 17, 29, 34, 58, 493, 986

Divisors of 935

List of positive integer divisors of 935 that divides 935 without a remainder.

1, 5, 11, 17, 55, 85, 187, 935

Divisors of 13

List of positive integer divisors of 13 that divides 13 without a remainder.

1, 13

Divisors of 541

List of positive integer divisors of 541 that divides 541 without a remainder.

1, 541

Greatest Common Divisior

We found the divisors of 986, 935, 13, 541 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 986, 935, 13, 541 is 1.

Therefore, GCD of numbers 986, 935, 13, 541 is 1

Given Input Data is 986, 935, 13, 541

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

Prime Factorization of 986 is 2 x 17 x 29

Prime Factorization of 935 is 5 x 11 x 17

Prime Factorization of 13 is 13

Prime Factorization of 541 is 541

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(986, 935) = 54230

GCD(986, 935) = ( 986 x 935 ) / 54230

GCD(986, 935) = 921910 / 54230

GCD(986, 935) = 17

Step2:

Here we consider the GCD from the above i.e. 17 as first number and the next as 13

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

LCM(17, 13) = 221

GCD(17, 13) = ( 17 x 13 ) / 221

GCD(17, 13) = 221 / 221

GCD(17, 13) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 541

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

LCM(1, 541) = 541

GCD(1, 541) = ( 1 x 541 ) / 541

GCD(1, 541) = 541 / 541

GCD(1, 541) = 1

GCD of 986, 935, 13, 541 is 1

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• GCD of 325, 416, 73, 474
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1. What is the GCD of 986, 935, 13, 541?

GCD of 986, 935, 13, 541 is 1

2. Where do I get the detailed procedure to find GCD of 986, 935, 13, 541?

You can find a detailed procedure to find GCD of 986, 935, 13, 541 on our page.

3. How to find GCD of 986, 935, 13, 541 on a calculator?

You can find the GCD of 986, 935, 13, 541 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.