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GCD of 828, 764, 526, 476 Calculator

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


Online GCD Calculator is useful to find the GCD of 828, 764, 526, 476 quickly. Get the easiest ways to solve the greatest common divisor of 828, 764, 526, 476 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 828, 764, 526, 476 with Factoring?

Given Input numbers are 828, 764, 526, 476

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

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

Divisors of 764 :

The positive integer divisors of 764 that completely divides 764 are.

1, 2, 4, 191, 382, 764

Divisors of 526 :

The positive integer divisors of 526 that completely divides 526 are.

1, 2, 263, 526

Divisors of 476 :

The positive integer divisors of 476 that completely divides 476 are.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476


GCD of numbers is the greatest common divisor

So, the GCD (828, 764, 526, 476) = 2.

Find GCD of 828, 764, 526, 476 using Prime Factorization

Given numbers are 828, 764, 526, 476

The list of prime factors of all numbers are

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

Prime factors of 764 are 2 x 2 x 191

Prime factors of 526 are 2 x 263

Prime factors of 476 are 2 x 2 x 7 x 17

The highest common occurrence is 21

Therefore, GCD of 828, 764, 526, 476 is 2.

Steps to Calculate GCD of 828, 764, 526, 476 using LCM Formula

Given numbers are 828, 764, 526, 476

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

Apply this formula for all numbers.

Step1:

LCM(828, 764) = 158148

GCD(828, 764) = ( 828 x 764 ) / 158148

= 828 / 764

= 828


Step2:

LCM(4, 526) = 1052

GCD(4, 526) = ( 4 x 526 ) / 1052

= 4 / 526

= 4


Step3:

LCM(2, 476) = 476

GCD(2, 476) = ( 2 x 476 ) / 476

= 2 / 476

= 2


So, Greatest Common Divisor of 828, 764, 526, 476 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 828, 764, 526, 476

Given numbers are 828, 764, 526, 476
The greatest common divisor of numbers 828, 764, 526, 476 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 828, 764, 526, 476 is 2.

FAQs on GCD of 828, 764, 526, 476 Calculator

1. What is the GCD of 828, 764, 526, 476?

GCD of given numbers 828, 764, 526, 476 is 2


2. How to calculate the greatest common divisor of 828, 764, 526, 476?

We can find the highest common divisor of 828, 764, 526, 476 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 828, 764, 526, 476 i.e 2.


3. How can I use the GCD of 828, 764, 526, 476Calculator?

Out the numbers 828, 764, 526, 476 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.