GCD of 109, 917, 365, 135 Calculator

Given Input numbers are 109, 917, 365, 135

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

Divisors of 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Divisors of 917

List of positive integer divisors of 917 that divides 917 without a remainder.

1, 7, 131, 917

Divisors of 365

List of positive integer divisors of 365 that divides 365 without a remainder.

1, 5, 73, 365

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 109, 917, 365, 135 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 109, 917, 365, 135 is 1.

Therefore, GCD of numbers 109, 917, 365, 135 is 1

Given Input Data is 109, 917, 365, 135

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

Prime Factorization of 109 is 109

Prime Factorization of 917 is 7 x 131

Prime Factorization of 365 is 5 x 73

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(109, 917) = 99953

GCD(109, 917) = ( 109 x 917 ) / 99953

GCD(109, 917) = 99953 / 99953

GCD(109, 917) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 365

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

LCM(1, 365) = 365

GCD(1, 365) = ( 1 x 365 ) / 365

GCD(1, 365) = 365 / 365

GCD(1, 365) = 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 109, 917, 365, 135 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 403, 497, 257, 820
• GCD of 847, 983, 864, 337
• GCD of 711, 128, 534, 757
• GCD of 962, 687, 821, 570
• GCD of 223, 782, 715, 185

1. What is the GCD of 109, 917, 365, 135?

GCD of 109, 917, 365, 135 is 1

2. Where do I get the detailed procedure to find GCD of 109, 917, 365, 135?

You can find a detailed procedure to find GCD of 109, 917, 365, 135 on our page.

3. How to find GCD of 109, 917, 365, 135 on a calculator?

You can find the GCD of 109, 917, 365, 135 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.