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GCD of 633, 924, 303, 351 Calculator

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


Online GCD Calculator is useful to find the GCD of 633, 924, 303, 351 quickly. Get the easiest ways to solve the greatest common divisor of 633, 924, 303, 351 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 633, 924, 303, 351 with Factoring?

Given Input numbers are 633, 924, 303, 351

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

Divisors of 633 :

The positive integer divisors of 633 that completely divides 633 are.

1, 3, 211, 633

Divisors of 924 :

The positive integer divisors of 924 that completely divides 924 are.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

Divisors of 303 :

The positive integer divisors of 303 that completely divides 303 are.

1, 3, 101, 303

Divisors of 351 :

The positive integer divisors of 351 that completely divides 351 are.

1, 3, 9, 13, 27, 39, 117, 351


GCD of numbers is the greatest common divisor

So, the GCD (633, 924, 303, 351) = 3.

Find GCD of 633, 924, 303, 351 using Prime Factorization

Given numbers are 633, 924, 303, 351

The list of prime factors of all numbers are

Prime factors of 633 are 3 x 211

Prime factors of 924 are 2 x 2 x 3 x 7 x 11

Prime factors of 303 are 3 x 101

Prime factors of 351 are 3 x 3 x 3 x 13

The highest common occurrence is 31

Therefore, GCD of 633, 924, 303, 351 is 3.

Steps to Calculate GCD of 633, 924, 303, 351 using LCM Formula

Given numbers are 633, 924, 303, 351

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

Apply this formula for all numbers.

Step1:

LCM(633, 924) = 194964

GCD(633, 924) = ( 633 x 924 ) / 194964

= 633 / 924

= 633


Step2:

LCM(3, 303) = 303

GCD(3, 303) = ( 3 x 303 ) / 303

= 3 / 303

= 3


Step3:

LCM(3, 351) = 351

GCD(3, 351) = ( 3 x 351 ) / 351

= 3 / 351

= 3


So, Greatest Common Divisor of 633, 924, 303, 351 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 633, 924, 303, 351

Given numbers are 633, 924, 303, 351
The greatest common divisor of numbers 633, 924, 303, 351 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 633, 924, 303, 351 is 3.

FAQs on GCD of 633, 924, 303, 351 Calculator

1. What is the GCD of 633, 924, 303, 351?

GCD of given numbers 633, 924, 303, 351 is 3


2. How to calculate the greatest common divisor of 633, 924, 303, 351?

We can find the highest common divisor of 633, 924, 303, 351 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 633, 924, 303, 351 i.e 3.


3. How can I use the GCD of 633, 924, 303, 351Calculator?

Out the numbers 633, 924, 303, 351 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.