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GCD of 339, 525, 267 Calculator

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


Online GCD Calculator is useful to find the GCD of 339, 525, 267 quickly. Get the easiest ways to solve the greatest common divisor of 339, 525, 267 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 339, 525, 267 with Factoring?

Given Input numbers are 339, 525, 267

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

Divisors of 339 :

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

1, 3, 113, 339

Divisors of 525 :

The positive integer divisors of 525 that completely divides 525 are.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

Divisors of 267 :

The positive integer divisors of 267 that completely divides 267 are.

1, 3, 89, 267


GCD of numbers is the greatest common divisor

So, the GCD (339, 525, 267) = 3.

Find GCD of 339, 525, 267 using Prime Factorization

Given numbers are 339, 525, 267

The list of prime factors of all numbers are

Prime factors of 339 are 3 x 113

Prime factors of 525 are 3 x 5 x 5 x 7

Prime factors of 267 are 3 x 89

The highest common occurrence is 31

Therefore, GCD of 339, 525, 267 is 3.

Steps to Calculate GCD of 339, 525, 267 using LCM Formula

Given numbers are 339, 525, 267

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

Apply this formula for all numbers.

Step1:

LCM(339, 525) = 59325

GCD(339, 525) = ( 339 x 525 ) / 59325

= 339 / 525

= 339


Step2:

LCM(3, 267) = 267

GCD(3, 267) = ( 3 x 267 ) / 267

= 3 / 267

= 3


So, Greatest Common Divisor of 339, 525, 267 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 339, 525, 267

Given numbers are 339, 525, 267
The greatest common divisor of numbers 339, 525, 267 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 339, 525, 267 is 3.

FAQs on GCD of 339, 525, 267 Calculator

1. What is the GCD of 339, 525, 267?

GCD of given numbers 339, 525, 267 is 3


2. How to calculate the greatest common divisor of 339, 525, 267?

We can find the highest common divisor of 339, 525, 267 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 339, 525, 267 i.e 3.


3. How can I use the GCD of 339, 525, 267Calculator?

Out the numbers 339, 525, 267 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.