GCD of 86, 104, 788, 135 Calculator

Given Input numbers are 86, 104, 788, 135

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

Divisors of 86

List of positive integer divisors of 86 that divides 86 without a remainder.

1, 2, 43, 86

Divisors of 104

List of positive integer divisors of 104 that divides 104 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104

Divisors of 788

List of positive integer divisors of 788 that divides 788 without a remainder.

1, 2, 4, 197, 394, 788

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 86, 104, 788, 135 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 86, 104, 788, 135 is 1.

Therefore, GCD of numbers 86, 104, 788, 135 is 1

Given Input Data is 86, 104, 788, 135

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

Prime Factorization of 86 is 2 x 43

Prime Factorization of 104 is 2 x 2 x 2 x 13

Prime Factorization of 788 is 2 x 2 x 197

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(86, 104) = 4472

GCD(86, 104) = ( 86 x 104 ) / 4472

GCD(86, 104) = 8944 / 4472

GCD(86, 104) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 788

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

LCM(2, 788) = 788

GCD(2, 788) = ( 2 x 788 ) / 788

GCD(2, 788) = 1576 / 788

GCD(2, 788) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 135

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

LCM(2, 135) = 270

GCD(2, 135) = ( 2 x 135 ) / 270

GCD(2, 135) = 270 / 270

GCD(2, 135) = 1

GCD of 86, 104, 788, 135 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 47, 177, 177, 379
• GCD of 52, 325, 230, 518
• GCD of 89, 203, 383, 384
• GCD of 78, 213, 212, 561
• GCD of 22, 624, 151, 992

1. What is the GCD of 86, 104, 788, 135?

GCD of 86, 104, 788, 135 is 1

2. Where do I get the detailed procedure to find GCD of 86, 104, 788, 135?

You can find a detailed procedure to find GCD of 86, 104, 788, 135 on our page.

3. How to find GCD of 86, 104, 788, 135 on a calculator?

You can find the GCD of 86, 104, 788, 135 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.