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GCD of 423, 969, 501 Calculator

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


Online GCD Calculator is useful to find the GCD of 423, 969, 501 quickly. Get the easiest ways to solve the greatest common divisor of 423, 969, 501 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 423, 969, 501 with Factoring?

Given Input numbers are 423, 969, 501

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

Divisors of 423 :

The positive integer divisors of 423 that completely divides 423 are.

1, 3, 9, 47, 141, 423

Divisors of 969 :

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

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

Divisors of 501 :

The positive integer divisors of 501 that completely divides 501 are.

1, 3, 167, 501


GCD of numbers is the greatest common divisor

So, the GCD (423, 969, 501) = 3.

Find GCD of 423, 969, 501 using Prime Factorization

Given numbers are 423, 969, 501

The list of prime factors of all numbers are

Prime factors of 423 are 3 x 3 x 47

Prime factors of 969 are 3 x 17 x 19

Prime factors of 501 are 3 x 167

The highest common occurrence is 31

Therefore, GCD of 423, 969, 501 is 3.

Steps to Calculate GCD of 423, 969, 501 using LCM Formula

Given numbers are 423, 969, 501

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

Apply this formula for all numbers.

Step1:

LCM(423, 969) = 136629

GCD(423, 969) = ( 423 x 969 ) / 136629

= 423 / 969

= 423


Step2:

LCM(3, 501) = 501

GCD(3, 501) = ( 3 x 501 ) / 501

= 3 / 501

= 3


So, Greatest Common Divisor of 423, 969, 501 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 423, 969, 501

Given numbers are 423, 969, 501
The greatest common divisor of numbers 423, 969, 501 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 423, 969, 501 is 3.

FAQs on GCD of 423, 969, 501 Calculator

1. What is the GCD of 423, 969, 501?

GCD of given numbers 423, 969, 501 is 3


2. How to calculate the greatest common divisor of 423, 969, 501?

We can find the highest common divisor of 423, 969, 501 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 423, 969, 501 i.e 3.


3. How can I use the GCD of 423, 969, 501Calculator?

Out the numbers 423, 969, 501 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.