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GCD of 984, 352, 472, 884 Calculator

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


Online GCD Calculator is useful to find the GCD of 984, 352, 472, 884 quickly. Get the easiest ways to solve the greatest common divisor of 984, 352, 472, 884 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 984, 352, 472, 884 with Factoring?

Given Input numbers are 984, 352, 472, 884

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

Divisors of 984 :

The positive integer divisors of 984 that completely divides 984 are.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Divisors of 352 :

The positive integer divisors of 352 that completely divides 352 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Divisors of 472 :

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

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

Divisors of 884 :

The positive integer divisors of 884 that completely divides 884 are.

1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884


GCD of numbers is the greatest common divisor

So, the GCD (984, 352, 472, 884) = 4.

Find GCD of 984, 352, 472, 884 using Prime Factorization

Given numbers are 984, 352, 472, 884

The list of prime factors of all numbers are

Prime factors of 984 are 2 x 2 x 2 x 3 x 41

Prime factors of 352 are 2 x 2 x 2 x 2 x 2 x 11

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

Prime factors of 884 are 2 x 2 x 13 x 17

The highest common occurrence is 22

Therefore, GCD of 984, 352, 472, 884 is 4.

Steps to Calculate GCD of 984, 352, 472, 884 using LCM Formula

Given numbers are 984, 352, 472, 884

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

Apply this formula for all numbers.

Step1:

LCM(984, 352) = 43296

GCD(984, 352) = ( 984 x 352 ) / 43296

= 984 / 352

= 984


Step2:

LCM(8, 472) = 472

GCD(8, 472) = ( 8 x 472 ) / 472

= 8 / 472

= 8


Step3:

LCM(8, 884) = 1768

GCD(8, 884) = ( 8 x 884 ) / 1768

= 8 / 884

= 8


So, Greatest Common Divisor of 984, 352, 472, 884 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 984, 352, 472, 884

Given numbers are 984, 352, 472, 884
The greatest common divisor of numbers 984, 352, 472, 884 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 984, 352, 472, 884 is 4.

FAQs on GCD of 984, 352, 472, 884 Calculator

1. What is the GCD of 984, 352, 472, 884?

GCD of given numbers 984, 352, 472, 884 is 4


2. How to calculate the greatest common divisor of 984, 352, 472, 884?

We can find the highest common divisor of 984, 352, 472, 884 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 984, 352, 472, 884 i.e 4.


3. How can I use the GCD of 984, 352, 472, 884Calculator?

Out the numbers 984, 352, 472, 884 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.