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GCD of 444, 390, 723, 258 Calculator

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


Online GCD Calculator is useful to find the GCD of 444, 390, 723, 258 quickly. Get the easiest ways to solve the greatest common divisor of 444, 390, 723, 258 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 444, 390, 723, 258 with Factoring?

Given Input numbers are 444, 390, 723, 258

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

Divisors of 444 :

The positive integer divisors of 444 that completely divides 444 are.

1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

Divisors of 390 :

The positive integer divisors of 390 that completely divides 390 are.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 723 :

The positive integer divisors of 723 that completely divides 723 are.

1, 3, 241, 723

Divisors of 258 :

The positive integer divisors of 258 that completely divides 258 are.

1, 2, 3, 6, 43, 86, 129, 258


GCD of numbers is the greatest common divisor

So, the GCD (444, 390, 723, 258) = 3.

Find GCD of 444, 390, 723, 258 using Prime Factorization

Given numbers are 444, 390, 723, 258

The list of prime factors of all numbers are

Prime factors of 444 are 2 x 2 x 3 x 37

Prime factors of 390 are 2 x 3 x 5 x 13

Prime factors of 723 are 3 x 241

Prime factors of 258 are 2 x 3 x 43

The highest common occurrence is 31

Therefore, GCD of 444, 390, 723, 258 is 3.

Steps to Calculate GCD of 444, 390, 723, 258 using LCM Formula

Given numbers are 444, 390, 723, 258

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

Apply this formula for all numbers.

Step1:

LCM(444, 390) = 28860

GCD(444, 390) = ( 444 x 390 ) / 28860

= 444 / 390

= 444


Step2:

LCM(6, 723) = 1446

GCD(6, 723) = ( 6 x 723 ) / 1446

= 6 / 723

= 6


Step3:

LCM(3, 258) = 258

GCD(3, 258) = ( 3 x 258 ) / 258

= 3 / 258

= 3


So, Greatest Common Divisor of 444, 390, 723, 258 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 444, 390, 723, 258

Given numbers are 444, 390, 723, 258
The greatest common divisor of numbers 444, 390, 723, 258 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 444, 390, 723, 258 is 3.

FAQs on GCD of 444, 390, 723, 258 Calculator

1. What is the GCD of 444, 390, 723, 258?

GCD of given numbers 444, 390, 723, 258 is 3


2. How to calculate the greatest common divisor of 444, 390, 723, 258?

We can find the highest common divisor of 444, 390, 723, 258 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 444, 390, 723, 258 i.e 3.


3. How can I use the GCD of 444, 390, 723, 258Calculator?

Out the numbers 444, 390, 723, 258 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.