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GCD of 828, 348, 249, 644 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, 348, 249, 644 quickly. Get the easiest ways to solve the greatest common divisor of 828, 348, 249, 644 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 828, 348, 249, 644 with Factoring?

Given Input numbers are 828, 348, 249, 644

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 348 :

The positive integer divisors of 348 that completely divides 348 are.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 249 :

The positive integer divisors of 249 that completely divides 249 are.

1, 3, 83, 249

Divisors of 644 :

The positive integer divisors of 644 that completely divides 644 are.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644


GCD of numbers is the greatest common divisor

So, the GCD (828, 348, 249, 644) = 1.

Find GCD of 828, 348, 249, 644 using Prime Factorization

Given numbers are 828, 348, 249, 644

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 348 are 2 x 2 x 3 x 29

Prime factors of 249 are 3 x 83

Prime factors of 644 are 2 x 2 x 7 x 23

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

Steps to Calculate GCD of 828, 348, 249, 644 using LCM Formula

Given numbers are 828, 348, 249, 644

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

Apply this formula for all numbers.

Step1:

LCM(828, 348) = 24012

GCD(828, 348) = ( 828 x 348 ) / 24012

= 828 / 348

= 828


Step2:

LCM(12, 249) = 996

GCD(12, 249) = ( 12 x 249 ) / 996

= 12 / 249

= 12


Step3:

LCM(3, 644) = 1932

GCD(3, 644) = ( 3 x 644 ) / 1932

= 3 / 644

= 3


So, Greatest Common Divisor of 828, 348, 249, 644 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 828, 348, 249, 644

Given numbers are 828, 348, 249, 644
The greatest common divisor of numbers 828, 348, 249, 644 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 828, 348, 249, 644 is 1.

FAQs on GCD of 828, 348, 249, 644 Calculator

1. What is the GCD of 828, 348, 249, 644?

GCD of given numbers 828, 348, 249, 644 is 1


2. How to calculate the greatest common divisor of 828, 348, 249, 644?

We can find the highest common divisor of 828, 348, 249, 644 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, 348, 249, 644 i.e 1.


3. How can I use the GCD of 828, 348, 249, 644Calculator?

Out the numbers 828, 348, 249, 644 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.