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GCD of 828, 249, 379, 624 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, 249, 379, 624 quickly. Get the easiest ways to solve the greatest common divisor of 828, 249, 379, 624 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 828, 249, 379, 624 with Factoring?

Given Input numbers are 828, 249, 379, 624

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 249 :

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

1, 3, 83, 249

Divisors of 379 :

The positive integer divisors of 379 that completely divides 379 are.

1, 379

Divisors of 624 :

The positive integer divisors of 624 that completely divides 624 are.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624


GCD of numbers is the greatest common divisor

So, the GCD (828, 249, 379, 624) = 1.

Find GCD of 828, 249, 379, 624 using Prime Factorization

Given numbers are 828, 249, 379, 624

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 249 are 3 x 83

Prime factors of 379 are 379

Prime factors of 624 are 2 x 2 x 2 x 2 x 3 x 13

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

Steps to Calculate GCD of 828, 249, 379, 624 using LCM Formula

Given numbers are 828, 249, 379, 624

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

Apply this formula for all numbers.

Step1:

LCM(828, 249) = 68724

GCD(828, 249) = ( 828 x 249 ) / 68724

= 828 / 249

= 828


Step2:

LCM(3, 379) = 1137

GCD(3, 379) = ( 3 x 379 ) / 1137

= 3 / 379

= 3


Step3:

LCM(1, 624) = 624

GCD(1, 624) = ( 1 x 624 ) / 624

= 1 / 624

= 1


So, Greatest Common Divisor of 828, 249, 379, 624 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 828, 249, 379, 624

Given numbers are 828, 249, 379, 624
The greatest common divisor of numbers 828, 249, 379, 624 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 828, 249, 379, 624 is 1.

FAQs on GCD of 828, 249, 379, 624 Calculator

1. What is the GCD of 828, 249, 379, 624?

GCD of given numbers 828, 249, 379, 624 is 1


2. How to calculate the greatest common divisor of 828, 249, 379, 624?

We can find the highest common divisor of 828, 249, 379, 624 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, 249, 379, 624 i.e 1.


3. How can I use the GCD of 828, 249, 379, 624Calculator?

Out the numbers 828, 249, 379, 624 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.