GCD of 84, 729, 373, 341 Calculator

Given Input numbers are 84, 729, 373, 341

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

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

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 373

List of positive integer divisors of 373 that divides 373 without a remainder.

1, 373

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 84, 729, 373, 341 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 84, 729, 373, 341 is 1.

Therefore, GCD of numbers 84, 729, 373, 341 is 1

Given Input Data is 84, 729, 373, 341

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

Prime Factorization of 84 is 2 x 2 x 3 x 7

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

Prime Factorization of 373 is 373

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(84, 729) = 20412

GCD(84, 729) = ( 84 x 729 ) / 20412

GCD(84, 729) = 61236 / 20412

GCD(84, 729) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 373

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

LCM(3, 373) = 1119

GCD(3, 373) = ( 3 x 373 ) / 1119

GCD(3, 373) = 1119 / 1119

GCD(3, 373) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 341

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

LCM(1, 341) = 341

GCD(1, 341) = ( 1 x 341 ) / 341

GCD(1, 341) = 341 / 341

GCD(1, 341) = 1

GCD of 84, 729, 373, 341 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 71, 186, 930, 541
• GCD of 27, 129, 914, 105
• GCD of 28, 819, 497, 492
• GCD of 41, 159, 999, 837
• GCD of 62, 553, 227, 283

1. What is the GCD of 84, 729, 373, 341?

GCD of 84, 729, 373, 341 is 1

2. Where do I get the detailed procedure to find GCD of 84, 729, 373, 341?

You can find a detailed procedure to find GCD of 84, 729, 373, 341 on our page.

3. How to find GCD of 84, 729, 373, 341 on a calculator?

You can find the GCD of 84, 729, 373, 341 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.