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GCD of 966, 459, 658, 729 Calculator

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


Online GCD Calculator is useful to find the GCD of 966, 459, 658, 729 quickly. Get the easiest ways to solve the greatest common divisor of 966, 459, 658, 729 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 966, 459, 658, 729 with Factoring?

Given Input numbers are 966, 459, 658, 729

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

Divisors of 966 :

The positive integer divisors of 966 that completely divides 966 are.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Divisors of 459 :

The positive integer divisors of 459 that completely divides 459 are.

1, 3, 9, 17, 27, 51, 153, 459

Divisors of 658 :

The positive integer divisors of 658 that completely divides 658 are.

1, 2, 7, 14, 47, 94, 329, 658

Divisors of 729 :

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

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


GCD of numbers is the greatest common divisor

So, the GCD (966, 459, 658, 729) = 1.

Find GCD of 966, 459, 658, 729 using Prime Factorization

Given numbers are 966, 459, 658, 729

The list of prime factors of all numbers are

Prime factors of 966 are 2 x 3 x 7 x 23

Prime factors of 459 are 3 x 3 x 3 x 17

Prime factors of 658 are 2 x 7 x 47

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

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

Steps to Calculate GCD of 966, 459, 658, 729 using LCM Formula

Given numbers are 966, 459, 658, 729

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

Apply this formula for all numbers.

Step1:

LCM(966, 459) = 147798

GCD(966, 459) = ( 966 x 459 ) / 147798

= 966 / 459

= 966


Step2:

LCM(3, 658) = 1974

GCD(3, 658) = ( 3 x 658 ) / 1974

= 3 / 658

= 3


Step3:

LCM(1, 729) = 729

GCD(1, 729) = ( 1 x 729 ) / 729

= 1 / 729

= 1


So, Greatest Common Divisor of 966, 459, 658, 729 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 966, 459, 658, 729

Given numbers are 966, 459, 658, 729
The greatest common divisor of numbers 966, 459, 658, 729 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 966, 459, 658, 729 is 1.

FAQs on GCD of 966, 459, 658, 729 Calculator

1. What is the GCD of 966, 459, 658, 729?

GCD of given numbers 966, 459, 658, 729 is 1


2. How to calculate the greatest common divisor of 966, 459, 658, 729?

We can find the highest common divisor of 966, 459, 658, 729 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 966, 459, 658, 729 i.e 1.


3. How can I use the GCD of 966, 459, 658, 729Calculator?

Out the numbers 966, 459, 658, 729 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.