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GCD of 729, 505, 766, 250 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, 505, 766, 250 quickly. Get the easiest ways to solve the greatest common divisor of 729, 505, 766, 250 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 729, 505, 766, 250 with Factoring?

Given Input numbers are 729, 505, 766, 250

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 505 :

The positive integer divisors of 505 that completely divides 505 are.

1, 5, 101, 505

Divisors of 766 :

The positive integer divisors of 766 that completely divides 766 are.

1, 2, 383, 766

Divisors of 250 :

The positive integer divisors of 250 that completely divides 250 are.

1, 2, 5, 10, 25, 50, 125, 250


GCD of numbers is the greatest common divisor

So, the GCD (729, 505, 766, 250) = 1.

Find GCD of 729, 505, 766, 250 using Prime Factorization

Given numbers are 729, 505, 766, 250

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 505 are 5 x 101

Prime factors of 766 are 2 x 383

Prime factors of 250 are 2 x 5 x 5 x 5

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

Steps to Calculate GCD of 729, 505, 766, 250 using LCM Formula

Given numbers are 729, 505, 766, 250

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

Apply this formula for all numbers.

Step1:

LCM(729, 505) = 368145

GCD(729, 505) = ( 729 x 505 ) / 368145

= 729 / 505

= 729


Step2:

LCM(1, 766) = 766

GCD(1, 766) = ( 1 x 766 ) / 766

= 1 / 766

= 1


Step3:

LCM(1, 250) = 250

GCD(1, 250) = ( 1 x 250 ) / 250

= 1 / 250

= 1


So, Greatest Common Divisor of 729, 505, 766, 250 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 729, 505, 766, 250

Given numbers are 729, 505, 766, 250
The greatest common divisor of numbers 729, 505, 766, 250 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 729, 505, 766, 250 is 1.

FAQs on GCD of 729, 505, 766, 250 Calculator

1. What is the GCD of 729, 505, 766, 250?

GCD of given numbers 729, 505, 766, 250 is 1


2. How to calculate the greatest common divisor of 729, 505, 766, 250?

We can find the highest common divisor of 729, 505, 766, 250 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, 505, 766, 250 i.e 1.


3. How can I use the GCD of 729, 505, 766, 250Calculator?

Out the numbers 729, 505, 766, 250 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.