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GCD of 669, 420, 621, 543 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, 420, 621, 543 quickly. Get the easiest ways to solve the greatest common divisor of 669, 420, 621, 543 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 669, 420, 621, 543 with Factoring?

Given Input numbers are 669, 420, 621, 543

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 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 621 :

The positive integer divisors of 621 that completely divides 621 are.

1, 3, 9, 23, 27, 69, 207, 621

Divisors of 543 :

The positive integer divisors of 543 that completely divides 543 are.

1, 3, 181, 543


GCD of numbers is the greatest common divisor

So, the GCD (669, 420, 621, 543) = 3.

Find GCD of 669, 420, 621, 543 using Prime Factorization

Given numbers are 669, 420, 621, 543

The list of prime factors of all numbers are

Prime factors of 669 are 3 x 223

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 621 are 3 x 3 x 3 x 23

Prime factors of 543 are 3 x 181

The highest common occurrence is 31

Therefore, GCD of 669, 420, 621, 543 is 3.

Steps to Calculate GCD of 669, 420, 621, 543 using LCM Formula

Given numbers are 669, 420, 621, 543

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

Apply this formula for all numbers.

Step1:

LCM(669, 420) = 93660

GCD(669, 420) = ( 669 x 420 ) / 93660

= 669 / 420

= 669


Step2:

LCM(3, 621) = 621

GCD(3, 621) = ( 3 x 621 ) / 621

= 3 / 621

= 3


Step3:

LCM(3, 543) = 543

GCD(3, 543) = ( 3 x 543 ) / 543

= 3 / 543

= 3


So, Greatest Common Divisor of 669, 420, 621, 543 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 669, 420, 621, 543

Given numbers are 669, 420, 621, 543
The greatest common divisor of numbers 669, 420, 621, 543 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 669, 420, 621, 543 is 3.

FAQs on GCD of 669, 420, 621, 543 Calculator

1. What is the GCD of 669, 420, 621, 543?

GCD of given numbers 669, 420, 621, 543 is 3


2. How to calculate the greatest common divisor of 669, 420, 621, 543?

We can find the highest common divisor of 669, 420, 621, 543 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, 420, 621, 543 i.e 3.


3. How can I use the GCD of 669, 420, 621, 543Calculator?

Out the numbers 669, 420, 621, 543 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.