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GCD of 660, 600, 390, 933 Calculator

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


Online GCD Calculator is useful to find the GCD of 660, 600, 390, 933 quickly. Get the easiest ways to solve the greatest common divisor of 660, 600, 390, 933 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 660, 600, 390, 933 with Factoring?

Given Input numbers are 660, 600, 390, 933

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

Divisors of 660 :

The positive integer divisors of 660 that completely divides 660 are.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 600 :

The positive integer divisors of 600 that completely divides 600 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 390 :

The positive integer divisors of 390 that completely divides 390 are.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 933 :

The positive integer divisors of 933 that completely divides 933 are.

1, 3, 311, 933


GCD of numbers is the greatest common divisor

So, the GCD (660, 600, 390, 933) = 3.

Find GCD of 660, 600, 390, 933 using Prime Factorization

Given numbers are 660, 600, 390, 933

The list of prime factors of all numbers are

Prime factors of 660 are 2 x 2 x 3 x 5 x 11

Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5

Prime factors of 390 are 2 x 3 x 5 x 13

Prime factors of 933 are 3 x 311

The highest common occurrence is 31

Therefore, GCD of 660, 600, 390, 933 is 3.

Steps to Calculate GCD of 660, 600, 390, 933 using LCM Formula

Given numbers are 660, 600, 390, 933

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

Apply this formula for all numbers.

Step1:

LCM(660, 600) = 6600

GCD(660, 600) = ( 660 x 600 ) / 6600

= 660 / 600

= 660


Step2:

LCM(60, 390) = 780

GCD(60, 390) = ( 60 x 390 ) / 780

= 60 / 390

= 60


Step3:

LCM(30, 933) = 9330

GCD(30, 933) = ( 30 x 933 ) / 9330

= 30 / 933

= 30


So, Greatest Common Divisor of 660, 600, 390, 933 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 660, 600, 390, 933

Given numbers are 660, 600, 390, 933
The greatest common divisor of numbers 660, 600, 390, 933 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 660, 600, 390, 933 is 3.

FAQs on GCD of 660, 600, 390, 933 Calculator

1. What is the GCD of 660, 600, 390, 933?

GCD of given numbers 660, 600, 390, 933 is 3


2. How to calculate the greatest common divisor of 660, 600, 390, 933?

We can find the highest common divisor of 660, 600, 390, 933 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 660, 600, 390, 933 i.e 3.


3. How can I use the GCD of 660, 600, 390, 933Calculator?

Out the numbers 660, 600, 390, 933 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.