GCD of 729, 275, 169, 343 Calculator

Given Input numbers are 729, 275, 169, 343

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

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 275

List of positive integer divisors of 275 that divides 275 without a remainder.

1, 5, 11, 25, 55, 275

Divisors of 169

List of positive integer divisors of 169 that divides 169 without a remainder.

1, 13, 169

Divisors of 343

List of positive integer divisors of 343 that divides 343 without a remainder.

1, 7, 49, 343

Greatest Common Divisior

We found the divisors of 729, 275, 169, 343 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 729, 275, 169, 343 is 1.

Therefore, GCD of numbers 729, 275, 169, 343 is 1

Given Input Data is 729, 275, 169, 343

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

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

Prime Factorization of 275 is 5 x 5 x 11

Prime Factorization of 169 is 13 x 13

Prime Factorization of 343 is 7 x 7 x 7

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(729, 275) = 200475

GCD(729, 275) = ( 729 x 275 ) / 200475

GCD(729, 275) = 200475 / 200475

GCD(729, 275) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 169

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

LCM(1, 169) = 169

GCD(1, 169) = ( 1 x 169 ) / 169

GCD(1, 169) = 169 / 169

GCD(1, 169) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 343

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

LCM(1, 343) = 343

GCD(1, 343) = ( 1 x 343 ) / 343

GCD(1, 343) = 343 / 343

GCD(1, 343) = 1

GCD of 729, 275, 169, 343 is 1

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1. What is the GCD of 729, 275, 169, 343?

GCD of 729, 275, 169, 343 is 1

2. Where do I get the detailed procedure to find GCD of 729, 275, 169, 343?

You can find a detailed procedure to find GCD of 729, 275, 169, 343 on our page.

3. How to find GCD of 729, 275, 169, 343 on a calculator?

You can find the GCD of 729, 275, 169, 343 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.