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GCD of 444, 284, 720, 358 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, 284, 720, 358 quickly. Get the easiest ways to solve the greatest common divisor of 444, 284, 720, 358 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 444, 284, 720, 358 with Factoring?

Given Input numbers are 444, 284, 720, 358

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 284 :

The positive integer divisors of 284 that completely divides 284 are.

1, 2, 4, 71, 142, 284

Divisors of 720 :

The positive integer divisors of 720 that completely divides 720 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 358 :

The positive integer divisors of 358 that completely divides 358 are.

1, 2, 179, 358


GCD of numbers is the greatest common divisor

So, the GCD (444, 284, 720, 358) = 2.

Find GCD of 444, 284, 720, 358 using Prime Factorization

Given numbers are 444, 284, 720, 358

The list of prime factors of all numbers are

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

Prime factors of 284 are 2 x 2 x 71

Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 358 are 2 x 179

The highest common occurrence is 21

Therefore, GCD of 444, 284, 720, 358 is 2.

Steps to Calculate GCD of 444, 284, 720, 358 using LCM Formula

Given numbers are 444, 284, 720, 358

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

Apply this formula for all numbers.

Step1:

LCM(444, 284) = 31524

GCD(444, 284) = ( 444 x 284 ) / 31524

= 444 / 284

= 444


Step2:

LCM(4, 720) = 720

GCD(4, 720) = ( 4 x 720 ) / 720

= 4 / 720

= 4


Step3:

LCM(4, 358) = 716

GCD(4, 358) = ( 4 x 358 ) / 716

= 4 / 358

= 4


So, Greatest Common Divisor of 444, 284, 720, 358 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 444, 284, 720, 358

Given numbers are 444, 284, 720, 358
The greatest common divisor of numbers 444, 284, 720, 358 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 444, 284, 720, 358 is 2.

FAQs on GCD of 444, 284, 720, 358 Calculator

1. What is the GCD of 444, 284, 720, 358?

GCD of given numbers 444, 284, 720, 358 is 2


2. How to calculate the greatest common divisor of 444, 284, 720, 358?

We can find the highest common divisor of 444, 284, 720, 358 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, 284, 720, 358 i.e 2.


3. How can I use the GCD of 444, 284, 720, 358Calculator?

Out the numbers 444, 284, 720, 358 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.