GCD of 135, 868, 36, 699 Calculator

Given Input numbers are 135, 868, 36, 699

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

Divisors of 135

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

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

Divisors of 868

List of positive integer divisors of 868 that divides 868 without a remainder.

1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 699

List of positive integer divisors of 699 that divides 699 without a remainder.

1, 3, 233, 699

Greatest Common Divisior

We found the divisors of 135, 868, 36, 699 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 135, 868, 36, 699 is 1.

Therefore, GCD of numbers 135, 868, 36, 699 is 1

Given Input Data is 135, 868, 36, 699

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

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

Prime Factorization of 868 is 2 x 2 x 7 x 31

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 699 is 3 x 233

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(135, 868) = 117180

GCD(135, 868) = ( 135 x 868 ) / 117180

GCD(135, 868) = 117180 / 117180

GCD(135, 868) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 36

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

LCM(1, 36) = 36

GCD(1, 36) = ( 1 x 36 ) / 36

GCD(1, 36) = 36 / 36

GCD(1, 36) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 699

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

LCM(1, 699) = 699

GCD(1, 699) = ( 1 x 699 ) / 699

GCD(1, 699) = 699 / 699

GCD(1, 699) = 1

GCD of 135, 868, 36, 699 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 643, 798, 97, 937
• GCD of 193, 668, 70, 760
• GCD of 629, 296, 92, 144
• GCD of 921, 809, 90, 703
• GCD of 511, 408, 38, 329

1. What is the GCD of 135, 868, 36, 699?

GCD of 135, 868, 36, 699 is 1

2. Where do I get the detailed procedure to find GCD of 135, 868, 36, 699?

You can find a detailed procedure to find GCD of 135, 868, 36, 699 on our page.

3. How to find GCD of 135, 868, 36, 699 on a calculator?

You can find the GCD of 135, 868, 36, 699 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.