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GCD of 320, 432, 928, 882 Calculator

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


Online GCD Calculator is useful to find the GCD of 320, 432, 928, 882 quickly. Get the easiest ways to solve the greatest common divisor of 320, 432, 928, 882 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 320, 432, 928, 882 with Factoring?

Given Input numbers are 320, 432, 928, 882

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

Divisors of 320 :

The positive integer divisors of 320 that completely divides 320 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 432 :

The positive integer divisors of 432 that completely divides 432 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

Divisors of 928 :

The positive integer divisors of 928 that completely divides 928 are.

1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

Divisors of 882 :

The positive integer divisors of 882 that completely divides 882 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882


GCD of numbers is the greatest common divisor

So, the GCD (320, 432, 928, 882) = 2.

Find GCD of 320, 432, 928, 882 using Prime Factorization

Given numbers are 320, 432, 928, 882

The list of prime factors of all numbers are

Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 928 are 2 x 2 x 2 x 2 x 2 x 29

Prime factors of 882 are 2 x 3 x 3 x 7 x 7

The highest common occurrence is 21

Therefore, GCD of 320, 432, 928, 882 is 2.

Steps to Calculate GCD of 320, 432, 928, 882 using LCM Formula

Given numbers are 320, 432, 928, 882

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

Apply this formula for all numbers.

Step1:

LCM(320, 432) = 8640

GCD(320, 432) = ( 320 x 432 ) / 8640

= 320 / 432

= 320


Step2:

LCM(16, 928) = 928

GCD(16, 928) = ( 16 x 928 ) / 928

= 16 / 928

= 16


Step3:

LCM(16, 882) = 7056

GCD(16, 882) = ( 16 x 882 ) / 7056

= 16 / 882

= 16


So, Greatest Common Divisor of 320, 432, 928, 882 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 320, 432, 928, 882

Given numbers are 320, 432, 928, 882
The greatest common divisor of numbers 320, 432, 928, 882 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 320, 432, 928, 882 is 2.

FAQs on GCD of 320, 432, 928, 882 Calculator

1. What is the GCD of 320, 432, 928, 882?

GCD of given numbers 320, 432, 928, 882 is 2


2. How to calculate the greatest common divisor of 320, 432, 928, 882?

We can find the highest common divisor of 320, 432, 928, 882 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 320, 432, 928, 882 i.e 2.


3. How can I use the GCD of 320, 432, 928, 882Calculator?

Out the numbers 320, 432, 928, 882 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.