GCD of 117, 103, 27, 736 Calculator

Given Input numbers are 117, 103, 27, 736

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 103

List of positive integer divisors of 103 that divides 103 without a remainder.

1, 103

Divisors of 27

List of positive integer divisors of 27 that divides 27 without a remainder.

1, 3, 9, 27

Divisors of 736

List of positive integer divisors of 736 that divides 736 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Greatest Common Divisior

We found the divisors of 117, 103, 27, 736 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 117, 103, 27, 736 is 1.

Therefore, GCD of numbers 117, 103, 27, 736 is 1

Given Input Data is 117, 103, 27, 736

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 103 is 103

Prime Factorization of 27 is 3 x 3 x 3

Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23

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, 103) = 12051

GCD(117, 103) = ( 117 x 103 ) / 12051

GCD(117, 103) = 12051 / 12051

GCD(117, 103) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 27

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

LCM(1, 27) = 27

GCD(1, 27) = ( 1 x 27 ) / 27

GCD(1, 27) = 27 / 27

GCD(1, 27) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 736

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

LCM(1, 736) = 736

GCD(1, 736) = ( 1 x 736 ) / 736

GCD(1, 736) = 736 / 736

GCD(1, 736) = 1

GCD of 117, 103, 27, 736 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 154, 582, 97, 112
• GCD of 137, 670, 70, 944
• GCD of 800, 927, 32, 501
• GCD of 130, 936, 52, 299
• GCD of 268, 525, 20, 102

1. What is the GCD of 117, 103, 27, 736?

GCD of 117, 103, 27, 736 is 1

2. Where do I get the detailed procedure to find GCD of 117, 103, 27, 736?

You can find a detailed procedure to find GCD of 117, 103, 27, 736 on our page.

3. How to find GCD of 117, 103, 27, 736 on a calculator?

You can find the GCD of 117, 103, 27, 736 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.