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GCD of 639, 669, 60 Calculator

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


Online GCD Calculator is useful to find the GCD of 639, 669, 60 quickly. Get the easiest ways to solve the greatest common divisor of 639, 669, 60 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 639, 669, 60 with Factoring?

Given Input numbers are 639, 669, 60

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

Divisors of 639 :

The positive integer divisors of 639 that completely divides 639 are.

1, 3, 9, 71, 213, 639

Divisors of 669 :

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

1, 3, 223, 669

Divisors of 60 :

The positive integer divisors of 60 that completely divides 60 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60


GCD of numbers is the greatest common divisor

So, the GCD (639, 669, 60) = 3.

Find GCD of 639, 669, 60 using Prime Factorization

Given numbers are 639, 669, 60

The list of prime factors of all numbers are

Prime factors of 639 are 3 x 3 x 71

Prime factors of 669 are 3 x 223

Prime factors of 60 are 2 x 2 x 3 x 5

The highest common occurrence is 31

Therefore, GCD of 639, 669, 60 is 3.

Steps to Calculate GCD of 639, 669, 60 using LCM Formula

Given numbers are 639, 669, 60

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

Apply this formula for all numbers.

Step1:

LCM(639, 669) = 142497

GCD(639, 669) = ( 639 x 669 ) / 142497

= 639 / 669

= 639


Step2:

LCM(3, 60) = 60

GCD(3, 60) = ( 3 x 60 ) / 60

= 3 / 60

= 3


So, Greatest Common Divisor of 639, 669, 60 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 639, 669, 60

Given numbers are 639, 669, 60
The greatest common divisor of numbers 639, 669, 60 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 639, 669, 60 is 3.

FAQs on GCD of 639, 669, 60 Calculator

1. What is the GCD of 639, 669, 60?

GCD of given numbers 639, 669, 60 is 3


2. How to calculate the greatest common divisor of 639, 669, 60?

We can find the highest common divisor of 639, 669, 60 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 639, 669, 60 i.e 3.


3. How can I use the GCD of 639, 669, 60Calculator?

Out the numbers 639, 669, 60 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.