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GCD of 729, 780, 514, 645 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, 780, 514, 645 quickly. Get the easiest ways to solve the greatest common divisor of 729, 780, 514, 645 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 729, 780, 514, 645 with Factoring?

Given Input numbers are 729, 780, 514, 645

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 780 :

The positive integer divisors of 780 that completely divides 780 are.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 514 :

The positive integer divisors of 514 that completely divides 514 are.

1, 2, 257, 514

Divisors of 645 :

The positive integer divisors of 645 that completely divides 645 are.

1, 3, 5, 15, 43, 129, 215, 645


GCD of numbers is the greatest common divisor

So, the GCD (729, 780, 514, 645) = 1.

Find GCD of 729, 780, 514, 645 using Prime Factorization

Given numbers are 729, 780, 514, 645

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 780 are 2 x 2 x 3 x 5 x 13

Prime factors of 514 are 2 x 257

Prime factors of 645 are 3 x 5 x 43

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

Steps to Calculate GCD of 729, 780, 514, 645 using LCM Formula

Given numbers are 729, 780, 514, 645

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

Apply this formula for all numbers.

Step1:

LCM(729, 780) = 189540

GCD(729, 780) = ( 729 x 780 ) / 189540

= 729 / 780

= 729


Step2:

LCM(3, 514) = 1542

GCD(3, 514) = ( 3 x 514 ) / 1542

= 3 / 514

= 3


Step3:

LCM(1, 645) = 645

GCD(1, 645) = ( 1 x 645 ) / 645

= 1 / 645

= 1


So, Greatest Common Divisor of 729, 780, 514, 645 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 729, 780, 514, 645

Given numbers are 729, 780, 514, 645
The greatest common divisor of numbers 729, 780, 514, 645 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 729, 780, 514, 645 is 1.

FAQs on GCD of 729, 780, 514, 645 Calculator

1. What is the GCD of 729, 780, 514, 645?

GCD of given numbers 729, 780, 514, 645 is 1


2. How to calculate the greatest common divisor of 729, 780, 514, 645?

We can find the highest common divisor of 729, 780, 514, 645 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, 780, 514, 645 i.e 1.


3. How can I use the GCD of 729, 780, 514, 645Calculator?

Out the numbers 729, 780, 514, 645 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.