GCD of 105, 133, 986, 135 Calculator

Given Input numbers are 105, 133, 986, 135

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 133

List of positive integer divisors of 133 that divides 133 without a remainder.

1, 7, 19, 133

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 135

List of positive integer divisors of 135 that divides 135 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135

Greatest Common Divisior

We found the divisors of 105, 133, 986, 135 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 105, 133, 986, 135 is 1.

Therefore, GCD of numbers 105, 133, 986, 135 is 1

Given Input Data is 105, 133, 986, 135

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 133 is 7 x 19

Prime Factorization of 986 is 2 x 17 x 29

Prime Factorization of 135 is 3 x 3 x 3 x 5

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, 133) = 1995

GCD(105, 133) = ( 105 x 133 ) / 1995

GCD(105, 133) = 13965 / 1995

GCD(105, 133) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 986

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

LCM(7, 986) = 6902

GCD(7, 986) = ( 7 x 986 ) / 6902

GCD(7, 986) = 6902 / 6902

GCD(7, 986) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 135

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

LCM(1, 135) = 135

GCD(1, 135) = ( 1 x 135 ) / 135

GCD(1, 135) = 135 / 135

GCD(1, 135) = 1

GCD of 105, 133, 986, 135 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 576, 421, 873, 580
• GCD of 926, 550, 523, 289
• GCD of 351, 608, 896, 682
• GCD of 673, 765, 999, 922
• GCD of 424, 118, 409, 211

1. What is the GCD of 105, 133, 986, 135?

GCD of 105, 133, 986, 135 is 1

2. Where do I get the detailed procedure to find GCD of 105, 133, 986, 135?

You can find a detailed procedure to find GCD of 105, 133, 986, 135 on our page.

3. How to find GCD of 105, 133, 986, 135 on a calculator?

You can find the GCD of 105, 133, 986, 135 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.