GCD of 117, 286, 135, 666 Calculator

Given Input numbers are 117, 286, 135, 666

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

Divisors of 117

List of positive integer divisors of 117 that divides 117 without a remainder.

1, 3, 9, 13, 39, 117

Divisors of 286

List of positive integer divisors of 286 that divides 286 without a remainder.

1, 2, 11, 13, 22, 26, 143, 286

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 666

List of positive integer divisors of 666 that divides 666 without a remainder.

1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666

Greatest Common Divisior

We found the divisors of 117, 286, 135, 666 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 117, 286, 135, 666 is 1.

Therefore, GCD of numbers 117, 286, 135, 666 is 1

Given Input Data is 117, 286, 135, 666

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

Prime Factorization of 117 is 3 x 3 x 13

Prime Factorization of 286 is 2 x 11 x 13

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

Prime Factorization of 666 is 2 x 3 x 3 x 37

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(117, 286) = 2574

GCD(117, 286) = ( 117 x 286 ) / 2574

GCD(117, 286) = 33462 / 2574

GCD(117, 286) = 13

Step2:

Here we consider the GCD from the above i.e. 13 as first number and the next as 135

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

LCM(13, 135) = 1755

GCD(13, 135) = ( 13 x 135 ) / 1755

GCD(13, 135) = 1755 / 1755

GCD(13, 135) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 666

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

LCM(1, 666) = 666

GCD(1, 666) = ( 1 x 666 ) / 666

GCD(1, 666) = 666 / 666

GCD(1, 666) = 1

GCD of 117, 286, 135, 666 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 672, 556, 265, 612
• GCD of 144, 699, 143, 305
• GCD of 923, 143, 158, 984
• GCD of 944, 638, 938, 487
• GCD of 895, 312, 401, 905

1. What is the GCD of 117, 286, 135, 666?

GCD of 117, 286, 135, 666 is 1

2. Where do I get the detailed procedure to find GCD of 117, 286, 135, 666?

You can find a detailed procedure to find GCD of 117, 286, 135, 666 on our page.

3. How to find GCD of 117, 286, 135, 666 on a calculator?

You can find the GCD of 117, 286, 135, 666 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.