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GCD of 732, 288, 176, 336 Calculator

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


Online GCD Calculator is useful to find the GCD of 732, 288, 176, 336 quickly. Get the easiest ways to solve the greatest common divisor of 732, 288, 176, 336 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 732, 288, 176, 336 with Factoring?

Given Input numbers are 732, 288, 176, 336

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

Divisors of 732 :

The positive integer divisors of 732 that completely divides 732 are.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Divisors of 288 :

The positive integer divisors of 288 that completely divides 288 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Divisors of 176 :

The positive integer divisors of 176 that completely divides 176 are.

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

Divisors of 336 :

The positive integer divisors of 336 that completely divides 336 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336


GCD of numbers is the greatest common divisor

So, the GCD (732, 288, 176, 336) = 4.

Find GCD of 732, 288, 176, 336 using Prime Factorization

Given numbers are 732, 288, 176, 336

The list of prime factors of all numbers are

Prime factors of 732 are 2 x 2 x 3 x 61

Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 176 are 2 x 2 x 2 x 2 x 11

Prime factors of 336 are 2 x 2 x 2 x 2 x 3 x 7

The highest common occurrence is 22

Therefore, GCD of 732, 288, 176, 336 is 4.

Steps to Calculate GCD of 732, 288, 176, 336 using LCM Formula

Given numbers are 732, 288, 176, 336

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

Apply this formula for all numbers.

Step1:

LCM(732, 288) = 17568

GCD(732, 288) = ( 732 x 288 ) / 17568

= 732 / 288

= 732


Step2:

LCM(12, 176) = 528

GCD(12, 176) = ( 12 x 176 ) / 528

= 12 / 176

= 12


Step3:

LCM(4, 336) = 336

GCD(4, 336) = ( 4 x 336 ) / 336

= 4 / 336

= 4


So, Greatest Common Divisor of 732, 288, 176, 336 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 732, 288, 176, 336

Given numbers are 732, 288, 176, 336
The greatest common divisor of numbers 732, 288, 176, 336 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 732, 288, 176, 336 is 4.

FAQs on GCD of 732, 288, 176, 336 Calculator

1. What is the GCD of 732, 288, 176, 336?

GCD of given numbers 732, 288, 176, 336 is 4


2. How to calculate the greatest common divisor of 732, 288, 176, 336?

We can find the highest common divisor of 732, 288, 176, 336 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 732, 288, 176, 336 i.e 4.


3. How can I use the GCD of 732, 288, 176, 336Calculator?

Out the numbers 732, 288, 176, 336 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.