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GCD of 825, 339, 853, 548 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, 339, 853, 548 quickly. Get the easiest ways to solve the greatest common divisor of 825, 339, 853, 548 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 825, 339, 853, 548 with Factoring?

Given Input numbers are 825, 339, 853, 548

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 339 :

The positive integer divisors of 339 that completely divides 339 are.

1, 3, 113, 339

Divisors of 853 :

The positive integer divisors of 853 that completely divides 853 are.

1, 853

Divisors of 548 :

The positive integer divisors of 548 that completely divides 548 are.

1, 2, 4, 137, 274, 548


GCD of numbers is the greatest common divisor

So, the GCD (825, 339, 853, 548) = 1.

Find GCD of 825, 339, 853, 548 using Prime Factorization

Given numbers are 825, 339, 853, 548

The list of prime factors of all numbers are

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

Prime factors of 339 are 3 x 113

Prime factors of 853 are 853

Prime factors of 548 are 2 x 2 x 137

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

Steps to Calculate GCD of 825, 339, 853, 548 using LCM Formula

Given numbers are 825, 339, 853, 548

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

Apply this formula for all numbers.

Step1:

LCM(825, 339) = 93225

GCD(825, 339) = ( 825 x 339 ) / 93225

= 825 / 339

= 825


Step2:

LCM(3, 853) = 2559

GCD(3, 853) = ( 3 x 853 ) / 2559

= 3 / 853

= 3


Step3:

LCM(1, 548) = 548

GCD(1, 548) = ( 1 x 548 ) / 548

= 1 / 548

= 1


So, Greatest Common Divisor of 825, 339, 853, 548 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 825, 339, 853, 548

Given numbers are 825, 339, 853, 548
The greatest common divisor of numbers 825, 339, 853, 548 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 825, 339, 853, 548 is 1.

FAQs on GCD of 825, 339, 853, 548 Calculator

1. What is the GCD of 825, 339, 853, 548?

GCD of given numbers 825, 339, 853, 548 is 1


2. How to calculate the greatest common divisor of 825, 339, 853, 548?

We can find the highest common divisor of 825, 339, 853, 548 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, 339, 853, 548 i.e 1.


3. How can I use the GCD of 825, 339, 853, 548Calculator?

Out the numbers 825, 339, 853, 548 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.