GCD of 729, 776, 341, 574 Calculator

Given Input numbers are 729, 776, 341, 574

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 776

List of positive integer divisors of 776 that divides 776 without a remainder.

1, 2, 4, 8, 97, 194, 388, 776

Divisors of 341

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

1, 11, 31, 341

Divisors of 574

List of positive integer divisors of 574 that divides 574 without a remainder.

1, 2, 7, 14, 41, 82, 287, 574

Greatest Common Divisior

We found the divisors of 729, 776, 341, 574 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 729, 776, 341, 574 is 1.

Therefore, GCD of numbers 729, 776, 341, 574 is 1

Given Input Data is 729, 776, 341, 574

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 776 is 2 x 2 x 2 x 97

Prime Factorization of 341 is 11 x 31

Prime Factorization of 574 is 2 x 7 x 41

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, 776) = 565704

GCD(729, 776) = ( 729 x 776 ) / 565704

GCD(729, 776) = 565704 / 565704

GCD(729, 776) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 574

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

LCM(1, 574) = 574

GCD(1, 574) = ( 1 x 574 ) / 574

GCD(1, 574) = 574 / 574

GCD(1, 574) = 1

GCD of 729, 776, 341, 574 is 1

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1. What is the GCD of 729, 776, 341, 574?

GCD of 729, 776, 341, 574 is 1

2. Where do I get the detailed procedure to find GCD of 729, 776, 341, 574?

You can find a detailed procedure to find GCD of 729, 776, 341, 574 on our page.

3. How to find GCD of 729, 776, 341, 574 on a calculator?

You can find the GCD of 729, 776, 341, 574 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.