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GCD of 266, 301, 504 Calculator

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


Online GCD Calculator is useful to find the GCD of 266, 301, 504 quickly. Get the easiest ways to solve the greatest common divisor of 266, 301, 504 i.e 7 in different methods as follows.

GCD of

How to Find GCD of Numbers 266, 301, 504 with Factoring?

Given Input numbers are 266, 301, 504

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

Divisors of 266 :

The positive integer divisors of 266 that completely divides 266 are.

1, 2, 7, 14, 19, 38, 133, 266

Divisors of 301 :

The positive integer divisors of 301 that completely divides 301 are.

1, 7, 43, 301

Divisors of 504 :

The positive integer divisors of 504 that completely divides 504 are.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504


GCD of numbers is the greatest common divisor

So, the GCD (266, 301, 504) = 7.

Find GCD of 266, 301, 504 using Prime Factorization

Given numbers are 266, 301, 504

The list of prime factors of all numbers are

Prime factors of 266 are 2 x 7 x 19

Prime factors of 301 are 7 x 43

Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7

The highest common occurrence is 71

Therefore, GCD of 266, 301, 504 is 7.

Steps to Calculate GCD of 266, 301, 504 using LCM Formula

Given numbers are 266, 301, 504

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

Apply this formula for all numbers.

Step1:

LCM(266, 301) = 11438

GCD(266, 301) = ( 266 x 301 ) / 11438

= 266 / 301

= 266


Step2:

LCM(7, 504) = 504

GCD(7, 504) = ( 7 x 504 ) / 504

= 7 / 504

= 7


So, Greatest Common Divisor of 266, 301, 504 is 7

GCD of Numbers Calculation Examples

Greatest Common Divisor of 266, 301, 504

Given numbers are 266, 301, 504
The greatest common divisor of numbers 266, 301, 504 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 266, 301, 504 is 7.

FAQs on GCD of 266, 301, 504 Calculator

1. What is the GCD of 266, 301, 504?

GCD of given numbers 266, 301, 504 is 7


2. How to calculate the greatest common divisor of 266, 301, 504?

We can find the highest common divisor of 266, 301, 504 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 266, 301, 504 i.e 7.


3. How can I use the GCD of 266, 301, 504Calculator?

Out the numbers 266, 301, 504 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.