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GCD of 472, 298, 802, 444 Calculator

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


Online GCD Calculator is useful to find the GCD of 472, 298, 802, 444 quickly. Get the easiest ways to solve the greatest common divisor of 472, 298, 802, 444 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 472, 298, 802, 444 with Factoring?

Given Input numbers are 472, 298, 802, 444

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

Divisors of 472 :

The positive integer divisors of 472 that completely divides 472 are.

1, 2, 4, 8, 59, 118, 236, 472

Divisors of 298 :

The positive integer divisors of 298 that completely divides 298 are.

1, 2, 149, 298

Divisors of 802 :

The positive integer divisors of 802 that completely divides 802 are.

1, 2, 401, 802

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


GCD of numbers is the greatest common divisor

So, the GCD (472, 298, 802, 444) = 2.

Find GCD of 472, 298, 802, 444 using Prime Factorization

Given numbers are 472, 298, 802, 444

The list of prime factors of all numbers are

Prime factors of 472 are 2 x 2 x 2 x 59

Prime factors of 298 are 2 x 149

Prime factors of 802 are 2 x 401

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

The highest common occurrence is 21

Therefore, GCD of 472, 298, 802, 444 is 2.

Steps to Calculate GCD of 472, 298, 802, 444 using LCM Formula

Given numbers are 472, 298, 802, 444

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

Apply this formula for all numbers.

Step1:

LCM(472, 298) = 70328

GCD(472, 298) = ( 472 x 298 ) / 70328

= 472 / 298

= 472


Step2:

LCM(2, 802) = 802

GCD(2, 802) = ( 2 x 802 ) / 802

= 2 / 802

= 2


Step3:

LCM(2, 444) = 444

GCD(2, 444) = ( 2 x 444 ) / 444

= 2 / 444

= 2


So, Greatest Common Divisor of 472, 298, 802, 444 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 472, 298, 802, 444

Given numbers are 472, 298, 802, 444
The greatest common divisor of numbers 472, 298, 802, 444 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 472, 298, 802, 444 is 2.

FAQs on GCD of 472, 298, 802, 444 Calculator

1. What is the GCD of 472, 298, 802, 444?

GCD of given numbers 472, 298, 802, 444 is 2


2. How to calculate the greatest common divisor of 472, 298, 802, 444?

We can find the highest common divisor of 472, 298, 802, 444 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 472, 298, 802, 444 i.e 2.


3. How can I use the GCD of 472, 298, 802, 444Calculator?

Out the numbers 472, 298, 802, 444 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.