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GCD of 763, 304, 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 763, 304, 828 quickly. Get the easiest ways to solve the greatest common divisor of 763, 304, 828 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 763, 304, 828 with Factoring?

Given Input numbers are 763, 304, 828

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

Divisors of 763 :

The positive integer divisors of 763 that completely divides 763 are.

1, 7, 109, 763

Divisors of 304 :

The positive integer divisors of 304 that completely divides 304 are.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

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 (763, 304, 828) = 1.

Find GCD of 763, 304, 828 using Prime Factorization

Given numbers are 763, 304, 828

The list of prime factors of all numbers are

Prime factors of 763 are 7 x 109

Prime factors of 304 are 2 x 2 x 2 x 2 x 19

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

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 763, 304, 828 using LCM Formula

Given numbers are 763, 304, 828

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

Apply this formula for all numbers.

Step1:

LCM(763, 304) = 231952

GCD(763, 304) = ( 763 x 304 ) / 231952

= 763 / 304

= 763


Step2:

LCM(1, 828) = 828

GCD(1, 828) = ( 1 x 828 ) / 828

= 1 / 828

= 1


So, Greatest Common Divisor of 763, 304, 828 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 763, 304, 828

Given numbers are 763, 304, 828
The greatest common divisor of numbers 763, 304, 828 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 763, 304, 828 is 1.

FAQs on GCD of 763, 304, 828 Calculator

1. What is the GCD of 763, 304, 828?

GCD of given numbers 763, 304, 828 is 1


2. How to calculate the greatest common divisor of 763, 304, 828?

We can find the highest common divisor of 763, 304, 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 763, 304, 828 i.e 1.


3. How can I use the GCD of 763, 304, 828Calculator?

Out the numbers 763, 304, 828 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.