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GCD of 729, 452, 104, 420 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 729, 452, 104, 420 quickly. Get the easiest ways to solve the greatest common divisor of 729, 452, 104, 420 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 729, 452, 104, 420 with Factoring?

Given Input numbers are 729, 452, 104, 420

In the factoring method, we have to find the divisors of all numbers

Divisors of 729 :

The positive integer divisors of 729 that completely divides 729 are.

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

Divisors of 452 :

The positive integer divisors of 452 that completely divides 452 are.

1, 2, 4, 113, 226, 452

Divisors of 104 :

The positive integer divisors of 104 that completely divides 104 are.

1, 2, 4, 8, 13, 26, 52, 104

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420


GCD of numbers is the greatest common divisor

So, the GCD (729, 452, 104, 420) = 1.

Find GCD of 729, 452, 104, 420 using Prime Factorization

Given numbers are 729, 452, 104, 420

The list of prime factors of all numbers are

Prime factors of 729 are 3 x 3 x 3 x 3 x 3 x 3

Prime factors of 452 are 2 x 2 x 113

Prime factors of 104 are 2 x 2 x 2 x 13

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 729, 452, 104, 420 using LCM Formula

Given numbers are 729, 452, 104, 420

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(729, 452) = 329508

GCD(729, 452) = ( 729 x 452 ) / 329508

= 729 / 452

= 729


Step2:

LCM(1, 104) = 104

GCD(1, 104) = ( 1 x 104 ) / 104

= 1 / 104

= 1


Step3:

LCM(1, 420) = 420

GCD(1, 420) = ( 1 x 420 ) / 420

= 1 / 420

= 1


So, Greatest Common Divisor of 729, 452, 104, 420 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 729, 452, 104, 420

Given numbers are 729, 452, 104, 420
The greatest common divisor of numbers 729, 452, 104, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 729, 452, 104, 420 is 1.

FAQs on GCD of 729, 452, 104, 420 Calculator

1. What is the GCD of 729, 452, 104, 420?

GCD of given numbers 729, 452, 104, 420 is 1


2. How to calculate the greatest common divisor of 729, 452, 104, 420?

We can find the highest common divisor of 729, 452, 104, 420 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 729, 452, 104, 420 i.e 1.


3. How can I use the GCD of 729, 452, 104, 420Calculator?

Out the numbers 729, 452, 104, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.