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GCD of 825, 544, 798 Calculator

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


Online GCD Calculator is useful to find the GCD of 825, 544, 798 quickly. Get the easiest ways to solve the greatest common divisor of 825, 544, 798 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 825, 544, 798 with Factoring?

Given Input numbers are 825, 544, 798

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

Divisors of 825 :

The positive integer divisors of 825 that completely divides 825 are.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 544 :

The positive integer divisors of 544 that completely divides 544 are.

1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

Divisors of 798 :

The positive integer divisors of 798 that completely divides 798 are.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798


GCD of numbers is the greatest common divisor

So, the GCD (825, 544, 798) = 1.

Find GCD of 825, 544, 798 using Prime Factorization

Given numbers are 825, 544, 798

The list of prime factors of all numbers are

Prime factors of 825 are 3 x 5 x 5 x 11

Prime factors of 544 are 2 x 2 x 2 x 2 x 2 x 17

Prime factors of 798 are 2 x 3 x 7 x 19

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

Steps to Calculate GCD of 825, 544, 798 using LCM Formula

Given numbers are 825, 544, 798

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

Apply this formula for all numbers.

Step1:

LCM(825, 544) = 448800

GCD(825, 544) = ( 825 x 544 ) / 448800

= 825 / 544

= 825


Step2:

LCM(1, 798) = 798

GCD(1, 798) = ( 1 x 798 ) / 798

= 1 / 798

= 1


So, Greatest Common Divisor of 825, 544, 798 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 825, 544, 798

Given numbers are 825, 544, 798
The greatest common divisor of numbers 825, 544, 798 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 825, 544, 798 is 1.

FAQs on GCD of 825, 544, 798 Calculator

1. What is the GCD of 825, 544, 798?

GCD of given numbers 825, 544, 798 is 1


2. How to calculate the greatest common divisor of 825, 544, 798?

We can find the highest common divisor of 825, 544, 798 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 825, 544, 798 i.e 1.


3. How can I use the GCD of 825, 544, 798Calculator?

Out the numbers 825, 544, 798 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.