GCD of 617, 351, 729, 141 Calculator

Given Input numbers are 617, 351, 729, 141

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

Divisors of 617

List of positive integer divisors of 617 that divides 617 without a remainder.

1, 617

Divisors of 351

List of positive integer divisors of 351 that divides 351 without a remainder.

1, 3, 9, 13, 27, 39, 117, 351

Divisors of 729

List of positive integer divisors of 729 that divides 729 without a remainder.

1, 3, 9, 27, 81, 243, 729

Divisors of 141

List of positive integer divisors of 141 that divides 141 without a remainder.

1, 3, 47, 141

Greatest Common Divisior

We found the divisors of 617, 351, 729, 141 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 617, 351, 729, 141 is 1.

Therefore, GCD of numbers 617, 351, 729, 141 is 1

Given Input Data is 617, 351, 729, 141

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

Prime Factorization of 617 is 617

Prime Factorization of 351 is 3 x 3 x 3 x 13

Prime Factorization of 729 is 3 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 141 is 3 x 47

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(617, 351) = 216567

GCD(617, 351) = ( 617 x 351 ) / 216567

GCD(617, 351) = 216567 / 216567

GCD(617, 351) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 729

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

LCM(1, 729) = 729

GCD(1, 729) = ( 1 x 729 ) / 729

GCD(1, 729) = 729 / 729

GCD(1, 729) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 141

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

LCM(1, 141) = 141

GCD(1, 141) = ( 1 x 141 ) / 141

GCD(1, 141) = 141 / 141

GCD(1, 141) = 1

GCD of 617, 351, 729, 141 is 1

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1. What is the GCD of 617, 351, 729, 141?

GCD of 617, 351, 729, 141 is 1

2. Where do I get the detailed procedure to find GCD of 617, 351, 729, 141?

You can find a detailed procedure to find GCD of 617, 351, 729, 141 on our page.

3. How to find GCD of 617, 351, 729, 141 on a calculator?

You can find the GCD of 617, 351, 729, 141 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.