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GCD of 352, 736, 576, 796 Calculator

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


Online GCD Calculator is useful to find the GCD of 352, 736, 576, 796 quickly. Get the easiest ways to solve the greatest common divisor of 352, 736, 576, 796 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 352, 736, 576, 796 with Factoring?

Given Input numbers are 352, 736, 576, 796

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

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 736 :

The positive integer divisors of 736 that completely divides 736 are.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Divisors of 576 :

The positive integer divisors of 576 that completely divides 576 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

Divisors of 796 :

The positive integer divisors of 796 that completely divides 796 are.

1, 2, 4, 199, 398, 796


GCD of numbers is the greatest common divisor

So, the GCD (352, 736, 576, 796) = 4.

Find GCD of 352, 736, 576, 796 using Prime Factorization

Given numbers are 352, 736, 576, 796

The list of prime factors of all numbers are

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

Prime factors of 736 are 2 x 2 x 2 x 2 x 2 x 23

Prime factors of 576 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 796 are 2 x 2 x 199

The highest common occurrence is 22

Therefore, GCD of 352, 736, 576, 796 is 4.

Steps to Calculate GCD of 352, 736, 576, 796 using LCM Formula

Given numbers are 352, 736, 576, 796

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

Apply this formula for all numbers.

Step1:

LCM(352, 736) = 8096

GCD(352, 736) = ( 352 x 736 ) / 8096

= 352 / 736

= 352


Step2:

LCM(32, 576) = 576

GCD(32, 576) = ( 32 x 576 ) / 576

= 32 / 576

= 32


Step3:

LCM(32, 796) = 6368

GCD(32, 796) = ( 32 x 796 ) / 6368

= 32 / 796

= 32


So, Greatest Common Divisor of 352, 736, 576, 796 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 352, 736, 576, 796

Given numbers are 352, 736, 576, 796
The greatest common divisor of numbers 352, 736, 576, 796 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 352, 736, 576, 796 is 4.

FAQs on GCD of 352, 736, 576, 796 Calculator

1. What is the GCD of 352, 736, 576, 796?

GCD of given numbers 352, 736, 576, 796 is 4


2. How to calculate the greatest common divisor of 352, 736, 576, 796?

We can find the highest common divisor of 352, 736, 576, 796 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 352, 736, 576, 796 i.e 4.


3. How can I use the GCD of 352, 736, 576, 796Calculator?

Out the numbers 352, 736, 576, 796 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.