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GCD of 946, 729, 304, 147 Calculator

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


Online GCD Calculator is useful to find the GCD of 946, 729, 304, 147 quickly. Get the easiest ways to solve the greatest common divisor of 946, 729, 304, 147 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 946, 729, 304, 147 with Factoring?

Given Input numbers are 946, 729, 304, 147

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

Divisors of 946 :

The positive integer divisors of 946 that completely divides 946 are.

1, 2, 11, 22, 43, 86, 473, 946

Divisors of 729 :

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

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

Divisors of 304 :

The positive integer divisors of 304 that completely divides 304 are.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Divisors of 147 :

The positive integer divisors of 147 that completely divides 147 are.

1, 3, 7, 21, 49, 147


GCD of numbers is the greatest common divisor

So, the GCD (946, 729, 304, 147) = 1.

Find GCD of 946, 729, 304, 147 using Prime Factorization

Given numbers are 946, 729, 304, 147

The list of prime factors of all numbers are

Prime factors of 946 are 2 x 11 x 43

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

Prime factors of 304 are 2 x 2 x 2 x 2 x 19

Prime factors of 147 are 3 x 7 x 7

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

Steps to Calculate GCD of 946, 729, 304, 147 using LCM Formula

Given numbers are 946, 729, 304, 147

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

Apply this formula for all numbers.

Step1:

LCM(946, 729) = 689634

GCD(946, 729) = ( 946 x 729 ) / 689634

= 946 / 729

= 946


Step2:

LCM(1, 304) = 304

GCD(1, 304) = ( 1 x 304 ) / 304

= 1 / 304

= 1


Step3:

LCM(1, 147) = 147

GCD(1, 147) = ( 1 x 147 ) / 147

= 1 / 147

= 1


So, Greatest Common Divisor of 946, 729, 304, 147 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 946, 729, 304, 147

Given numbers are 946, 729, 304, 147
The greatest common divisor of numbers 946, 729, 304, 147 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 946, 729, 304, 147 is 1.

FAQs on GCD of 946, 729, 304, 147 Calculator

1. What is the GCD of 946, 729, 304, 147?

GCD of given numbers 946, 729, 304, 147 is 1


2. How to calculate the greatest common divisor of 946, 729, 304, 147?

We can find the highest common divisor of 946, 729, 304, 147 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 946, 729, 304, 147 i.e 1.


3. How can I use the GCD of 946, 729, 304, 147Calculator?

Out the numbers 946, 729, 304, 147 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.