GCD of 108, 651, 341 Calculator

Given Input numbers are 108, 651, 341

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

Divisors of 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 651

List of positive integer divisors of 651 that divides 651 without a remainder.

1, 3, 7, 21, 31, 93, 217, 651

Divisors of 341

List of positive integer divisors of 341 that divides 341 without a remainder.

1, 11, 31, 341

Greatest Common Divisior

We found the divisors of 108, 651, 341 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 108, 651, 341 is 1.

Therefore, GCD of numbers 108, 651, 341 is 1

Given Input Data is 108, 651, 341

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

Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3

Prime Factorization of 651 is 3 x 7 x 31

Prime Factorization of 341 is 11 x 31

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(108, 651) = 23436

GCD(108, 651) = ( 108 x 651 ) / 23436

GCD(108, 651) = 70308 / 23436

GCD(108, 651) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 341

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

LCM(3, 341) = 1023

GCD(3, 341) = ( 3 x 341 ) / 1023

GCD(3, 341) = 1023 / 1023

GCD(3, 341) = 1

GCD of 108, 651, 341 is 1

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1. What is the GCD of 108, 651, 341?

GCD of 108, 651, 341 is 1

2. Where do I get the detailed procedure to find GCD of 108, 651, 341?

You can find a detailed procedure to find GCD of 108, 651, 341 on our page.

3. How to find GCD of 108, 651, 341 on a calculator?

You can find the GCD of 108, 651, 341 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.