GCD of 917, 342, 843, 135 Calculator

Given Input numbers are 917, 342, 843, 135

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

Divisors of 917

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

1, 7, 131, 917

Divisors of 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 843

List of positive integer divisors of 843 that divides 843 without a remainder.

1, 3, 281, 843

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 917, 342, 843, 135 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 917, 342, 843, 135 is 1.

Therefore, GCD of numbers 917, 342, 843, 135 is 1

Given Input Data is 917, 342, 843, 135

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

Prime Factorization of 917 is 7 x 131

Prime Factorization of 342 is 2 x 3 x 3 x 19

Prime Factorization of 843 is 3 x 281

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(917, 342) = 313614

GCD(917, 342) = ( 917 x 342 ) / 313614

GCD(917, 342) = 313614 / 313614

GCD(917, 342) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 843

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

LCM(1, 843) = 843

GCD(1, 843) = ( 1 x 843 ) / 843

GCD(1, 843) = 843 / 843

GCD(1, 843) = 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 917, 342, 843, 135 is 1

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1. What is the GCD of 917, 342, 843, 135?

GCD of 917, 342, 843, 135 is 1

2. Where do I get the detailed procedure to find GCD of 917, 342, 843, 135?

You can find a detailed procedure to find GCD of 917, 342, 843, 135 on our page.

3. How to find GCD of 917, 342, 843, 135 on a calculator?

You can find the GCD of 917, 342, 843, 135 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.