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GCD of 476, 178, 322, 480 Calculator

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


Online GCD Calculator is useful to find the GCD of 476, 178, 322, 480 quickly. Get the easiest ways to solve the greatest common divisor of 476, 178, 322, 480 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 476, 178, 322, 480 with Factoring?

Given Input numbers are 476, 178, 322, 480

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

Divisors of 476 :

The positive integer divisors of 476 that completely divides 476 are.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

Divisors of 178 :

The positive integer divisors of 178 that completely divides 178 are.

1, 2, 89, 178

Divisors of 322 :

The positive integer divisors of 322 that completely divides 322 are.

1, 2, 7, 14, 23, 46, 161, 322

Divisors of 480 :

The positive integer divisors of 480 that completely divides 480 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480


GCD of numbers is the greatest common divisor

So, the GCD (476, 178, 322, 480) = 2.

Find GCD of 476, 178, 322, 480 using Prime Factorization

Given numbers are 476, 178, 322, 480

The list of prime factors of all numbers are

Prime factors of 476 are 2 x 2 x 7 x 17

Prime factors of 178 are 2 x 89

Prime factors of 322 are 2 x 7 x 23

Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5

The highest common occurrence is 21

Therefore, GCD of 476, 178, 322, 480 is 2.

Steps to Calculate GCD of 476, 178, 322, 480 using LCM Formula

Given numbers are 476, 178, 322, 480

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

Apply this formula for all numbers.

Step1:

LCM(476, 178) = 42364

GCD(476, 178) = ( 476 x 178 ) / 42364

= 476 / 178

= 476


Step2:

LCM(2, 322) = 322

GCD(2, 322) = ( 2 x 322 ) / 322

= 2 / 322

= 2


Step3:

LCM(2, 480) = 480

GCD(2, 480) = ( 2 x 480 ) / 480

= 2 / 480

= 2


So, Greatest Common Divisor of 476, 178, 322, 480 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 476, 178, 322, 480

Given numbers are 476, 178, 322, 480
The greatest common divisor of numbers 476, 178, 322, 480 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 476, 178, 322, 480 is 2.

FAQs on GCD of 476, 178, 322, 480 Calculator

1. What is the GCD of 476, 178, 322, 480?

GCD of given numbers 476, 178, 322, 480 is 2


2. How to calculate the greatest common divisor of 476, 178, 322, 480?

We can find the highest common divisor of 476, 178, 322, 480 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 476, 178, 322, 480 i.e 2.


3. How can I use the GCD of 476, 178, 322, 480Calculator?

Out the numbers 476, 178, 322, 480 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.