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GCD of 501, 759, 450, 333 Calculator

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


Online GCD Calculator is useful to find the GCD of 501, 759, 450, 333 quickly. Get the easiest ways to solve the greatest common divisor of 501, 759, 450, 333 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 501, 759, 450, 333 with Factoring?

Given Input numbers are 501, 759, 450, 333

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

Divisors of 501 :

The positive integer divisors of 501 that completely divides 501 are.

1, 3, 167, 501

Divisors of 759 :

The positive integer divisors of 759 that completely divides 759 are.

1, 3, 11, 23, 33, 69, 253, 759

Divisors of 450 :

The positive integer divisors of 450 that completely divides 450 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

Divisors of 333 :

The positive integer divisors of 333 that completely divides 333 are.

1, 3, 9, 37, 111, 333


GCD of numbers is the greatest common divisor

So, the GCD (501, 759, 450, 333) = 3.

Find GCD of 501, 759, 450, 333 using Prime Factorization

Given numbers are 501, 759, 450, 333

The list of prime factors of all numbers are

Prime factors of 501 are 3 x 167

Prime factors of 759 are 3 x 11 x 23

Prime factors of 450 are 2 x 3 x 3 x 5 x 5

Prime factors of 333 are 3 x 3 x 37

The highest common occurrence is 31

Therefore, GCD of 501, 759, 450, 333 is 3.

Steps to Calculate GCD of 501, 759, 450, 333 using LCM Formula

Given numbers are 501, 759, 450, 333

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

Apply this formula for all numbers.

Step1:

LCM(501, 759) = 126753

GCD(501, 759) = ( 501 x 759 ) / 126753

= 501 / 759

= 501


Step2:

LCM(3, 450) = 450

GCD(3, 450) = ( 3 x 450 ) / 450

= 3 / 450

= 3


Step3:

LCM(3, 333) = 333

GCD(3, 333) = ( 3 x 333 ) / 333

= 3 / 333

= 3


So, Greatest Common Divisor of 501, 759, 450, 333 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 501, 759, 450, 333

Given numbers are 501, 759, 450, 333
The greatest common divisor of numbers 501, 759, 450, 333 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 501, 759, 450, 333 is 3.

FAQs on GCD of 501, 759, 450, 333 Calculator

1. What is the GCD of 501, 759, 450, 333?

GCD of given numbers 501, 759, 450, 333 is 3


2. How to calculate the greatest common divisor of 501, 759, 450, 333?

We can find the highest common divisor of 501, 759, 450, 333 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 501, 759, 450, 333 i.e 3.


3. How can I use the GCD of 501, 759, 450, 333Calculator?

Out the numbers 501, 759, 450, 333 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.