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GCD of 801, 324, 333, 153 Calculator

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


Online GCD Calculator is useful to find the GCD of 801, 324, 333, 153 quickly. Get the easiest ways to solve the greatest common divisor of 801, 324, 333, 153 i.e 9 in different methods as follows.

GCD of

How to Find GCD of Numbers 801, 324, 333, 153 with Factoring?

Given Input numbers are 801, 324, 333, 153

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

Divisors of 801 :

The positive integer divisors of 801 that completely divides 801 are.

1, 3, 9, 89, 267, 801

Divisors of 324 :

The positive integer divisors of 324 that completely divides 324 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

Divisors of 333 :

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

1, 3, 9, 37, 111, 333

Divisors of 153 :

The positive integer divisors of 153 that completely divides 153 are.

1, 3, 9, 17, 51, 153


GCD of numbers is the greatest common divisor

So, the GCD (801, 324, 333, 153) = 9.

Find GCD of 801, 324, 333, 153 using Prime Factorization

Given numbers are 801, 324, 333, 153

The list of prime factors of all numbers are

Prime factors of 801 are 3 x 3 x 89

Prime factors of 324 are 2 x 2 x 3 x 3 x 3 x 3

Prime factors of 333 are 3 x 3 x 37

Prime factors of 153 are 3 x 3 x 17

The highest common occurrence is 32

Therefore, GCD of 801, 324, 333, 153 is 9.

Steps to Calculate GCD of 801, 324, 333, 153 using LCM Formula

Given numbers are 801, 324, 333, 153

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

Apply this formula for all numbers.

Step1:

LCM(801, 324) = 28836

GCD(801, 324) = ( 801 x 324 ) / 28836

= 801 / 324

= 801


Step2:

LCM(9, 333) = 333

GCD(9, 333) = ( 9 x 333 ) / 333

= 9 / 333

= 9


Step3:

LCM(9, 153) = 153

GCD(9, 153) = ( 9 x 153 ) / 153

= 9 / 153

= 9


So, Greatest Common Divisor of 801, 324, 333, 153 is 9

GCD of Numbers Calculation Examples

Greatest Common Divisor of 801, 324, 333, 153

Given numbers are 801, 324, 333, 153
The greatest common divisor of numbers 801, 324, 333, 153 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 801, 324, 333, 153 is 9.

FAQs on GCD of 801, 324, 333, 153 Calculator

1. What is the GCD of 801, 324, 333, 153?

GCD of given numbers 801, 324, 333, 153 is 9


2. How to calculate the greatest common divisor of 801, 324, 333, 153?

We can find the highest common divisor of 801, 324, 333, 153 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 801, 324, 333, 153 i.e 9.


3. How can I use the GCD of 801, 324, 333, 153Calculator?

Out the numbers 801, 324, 333, 153 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.