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GCD of 208, 752, 828 Calculator

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


Online GCD Calculator is useful to find the GCD of 208, 752, 828 quickly. Get the easiest ways to solve the greatest common divisor of 208, 752, 828 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 208, 752, 828 with Factoring?

Given Input numbers are 208, 752, 828

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

Divisors of 208 :

The positive integer divisors of 208 that completely divides 208 are.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 752 :

The positive integer divisors of 752 that completely divides 752 are.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Divisors of 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828


GCD of numbers is the greatest common divisor

So, the GCD (208, 752, 828) = 4.

Find GCD of 208, 752, 828 using Prime Factorization

Given numbers are 208, 752, 828

The list of prime factors of all numbers are

Prime factors of 208 are 2 x 2 x 2 x 2 x 13

Prime factors of 752 are 2 x 2 x 2 x 2 x 47

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

The highest common occurrence is 22

Therefore, GCD of 208, 752, 828 is 4.

Steps to Calculate GCD of 208, 752, 828 using LCM Formula

Given numbers are 208, 752, 828

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

Apply this formula for all numbers.

Step1:

LCM(208, 752) = 9776

GCD(208, 752) = ( 208 x 752 ) / 9776

= 208 / 752

= 208


Step2:

LCM(16, 828) = 3312

GCD(16, 828) = ( 16 x 828 ) / 3312

= 16 / 828

= 16


So, Greatest Common Divisor of 208, 752, 828 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 208, 752, 828

Given numbers are 208, 752, 828
The greatest common divisor of numbers 208, 752, 828 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 208, 752, 828 is 4.

FAQs on GCD of 208, 752, 828 Calculator

1. What is the GCD of 208, 752, 828?

GCD of given numbers 208, 752, 828 is 4


2. How to calculate the greatest common divisor of 208, 752, 828?

We can find the highest common divisor of 208, 752, 828 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 208, 752, 828 i.e 4.


3. How can I use the GCD of 208, 752, 828Calculator?

Out the numbers 208, 752, 828 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.