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GCD of 933, 402, 600, 969 Calculator

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


Online GCD Calculator is useful to find the GCD of 933, 402, 600, 969 quickly. Get the easiest ways to solve the greatest common divisor of 933, 402, 600, 969 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 933, 402, 600, 969 with Factoring?

Given Input numbers are 933, 402, 600, 969

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

Divisors of 933 :

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

1, 3, 311, 933

Divisors of 402 :

The positive integer divisors of 402 that completely divides 402 are.

1, 2, 3, 6, 67, 134, 201, 402

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 969 :

The positive integer divisors of 969 that completely divides 969 are.

1, 3, 17, 19, 51, 57, 323, 969


GCD of numbers is the greatest common divisor

So, the GCD (933, 402, 600, 969) = 3.

Find GCD of 933, 402, 600, 969 using Prime Factorization

Given numbers are 933, 402, 600, 969

The list of prime factors of all numbers are

Prime factors of 933 are 3 x 311

Prime factors of 402 are 2 x 3 x 67

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

Prime factors of 969 are 3 x 17 x 19

The highest common occurrence is 31

Therefore, GCD of 933, 402, 600, 969 is 3.

Steps to Calculate GCD of 933, 402, 600, 969 using LCM Formula

Given numbers are 933, 402, 600, 969

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

Apply this formula for all numbers.

Step1:

LCM(933, 402) = 125022

GCD(933, 402) = ( 933 x 402 ) / 125022

= 933 / 402

= 933


Step2:

LCM(3, 600) = 600

GCD(3, 600) = ( 3 x 600 ) / 600

= 3 / 600

= 3


Step3:

LCM(3, 969) = 969

GCD(3, 969) = ( 3 x 969 ) / 969

= 3 / 969

= 3


So, Greatest Common Divisor of 933, 402, 600, 969 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 933, 402, 600, 969

Given numbers are 933, 402, 600, 969
The greatest common divisor of numbers 933, 402, 600, 969 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 933, 402, 600, 969 is 3.

FAQs on GCD of 933, 402, 600, 969 Calculator

1. What is the GCD of 933, 402, 600, 969?

GCD of given numbers 933, 402, 600, 969 is 3


2. How to calculate the greatest common divisor of 933, 402, 600, 969?

We can find the highest common divisor of 933, 402, 600, 969 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 933, 402, 600, 969 i.e 3.


3. How can I use the GCD of 933, 402, 600, 969Calculator?

Out the numbers 933, 402, 600, 969 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.