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GCD of 669, 996, 531 Calculator

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


Online GCD Calculator is useful to find the GCD of 669, 996, 531 quickly. Get the easiest ways to solve the greatest common divisor of 669, 996, 531 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 669, 996, 531 with Factoring?

Given Input numbers are 669, 996, 531

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

Divisors of 669 :

The positive integer divisors of 669 that completely divides 669 are.

1, 3, 223, 669

Divisors of 996 :

The positive integer divisors of 996 that completely divides 996 are.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 531 :

The positive integer divisors of 531 that completely divides 531 are.

1, 3, 9, 59, 177, 531


GCD of numbers is the greatest common divisor

So, the GCD (669, 996, 531) = 3.

Find GCD of 669, 996, 531 using Prime Factorization

Given numbers are 669, 996, 531

The list of prime factors of all numbers are

Prime factors of 669 are 3 x 223

Prime factors of 996 are 2 x 2 x 3 x 83

Prime factors of 531 are 3 x 3 x 59

The highest common occurrence is 31

Therefore, GCD of 669, 996, 531 is 3.

Steps to Calculate GCD of 669, 996, 531 using LCM Formula

Given numbers are 669, 996, 531

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

Apply this formula for all numbers.

Step1:

LCM(669, 996) = 222108

GCD(669, 996) = ( 669 x 996 ) / 222108

= 669 / 996

= 669


Step2:

LCM(3, 531) = 531

GCD(3, 531) = ( 3 x 531 ) / 531

= 3 / 531

= 3


So, Greatest Common Divisor of 669, 996, 531 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 669, 996, 531

Given numbers are 669, 996, 531
The greatest common divisor of numbers 669, 996, 531 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 669, 996, 531 is 3.

FAQs on GCD of 669, 996, 531 Calculator

1. What is the GCD of 669, 996, 531?

GCD of given numbers 669, 996, 531 is 3


2. How to calculate the greatest common divisor of 669, 996, 531?

We can find the highest common divisor of 669, 996, 531 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 669, 996, 531 i.e 3.


3. How can I use the GCD of 669, 996, 531Calculator?

Out the numbers 669, 996, 531 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.