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GCD of 993, 528, 606, 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 993, 528, 606, 969 quickly. Get the easiest ways to solve the greatest common divisor of 993, 528, 606, 969 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 993, 528, 606, 969 with Factoring?

Given Input numbers are 993, 528, 606, 969

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

Divisors of 993 :

The positive integer divisors of 993 that completely divides 993 are.

1, 3, 331, 993

Divisors of 528 :

The positive integer divisors of 528 that completely divides 528 are.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

Divisors of 606 :

The positive integer divisors of 606 that completely divides 606 are.

1, 2, 3, 6, 101, 202, 303, 606

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 (993, 528, 606, 969) = 3.

Find GCD of 993, 528, 606, 969 using Prime Factorization

Given numbers are 993, 528, 606, 969

The list of prime factors of all numbers are

Prime factors of 993 are 3 x 331

Prime factors of 528 are 2 x 2 x 2 x 2 x 3 x 11

Prime factors of 606 are 2 x 3 x 101

Prime factors of 969 are 3 x 17 x 19

The highest common occurrence is 31

Therefore, GCD of 993, 528, 606, 969 is 3.

Steps to Calculate GCD of 993, 528, 606, 969 using LCM Formula

Given numbers are 993, 528, 606, 969

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

Apply this formula for all numbers.

Step1:

LCM(993, 528) = 174768

GCD(993, 528) = ( 993 x 528 ) / 174768

= 993 / 528

= 993


Step2:

LCM(3, 606) = 606

GCD(3, 606) = ( 3 x 606 ) / 606

= 3 / 606

= 3


Step3:

LCM(3, 969) = 969

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

= 3 / 969

= 3


So, Greatest Common Divisor of 993, 528, 606, 969 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 993, 528, 606, 969

Given numbers are 993, 528, 606, 969
The greatest common divisor of numbers 993, 528, 606, 969 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 993, 528, 606, 969 is 3.

FAQs on GCD of 993, 528, 606, 969 Calculator

1. What is the GCD of 993, 528, 606, 969?

GCD of given numbers 993, 528, 606, 969 is 3


2. How to calculate the greatest common divisor of 993, 528, 606, 969?

We can find the highest common divisor of 993, 528, 606, 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 993, 528, 606, 969 i.e 3.


3. How can I use the GCD of 993, 528, 606, 969Calculator?

Out the numbers 993, 528, 606, 969 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.