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GCD of 639, 135, 843, 408 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, 135, 843, 408 quickly. Get the easiest ways to solve the greatest common divisor of 639, 135, 843, 408 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 639, 135, 843, 408 with Factoring?

Given Input numbers are 639, 135, 843, 408

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 135 :

The positive integer divisors of 135 that completely divides 135 are.

1, 3, 5, 9, 15, 27, 45, 135

Divisors of 843 :

The positive integer divisors of 843 that completely divides 843 are.

1, 3, 281, 843

Divisors of 408 :

The positive integer divisors of 408 that completely divides 408 are.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408


GCD of numbers is the greatest common divisor

So, the GCD (639, 135, 843, 408) = 3.

Find GCD of 639, 135, 843, 408 using Prime Factorization

Given numbers are 639, 135, 843, 408

The list of prime factors of all numbers are

Prime factors of 639 are 3 x 3 x 71

Prime factors of 135 are 3 x 3 x 3 x 5

Prime factors of 843 are 3 x 281

Prime factors of 408 are 2 x 2 x 2 x 3 x 17

The highest common occurrence is 31

Therefore, GCD of 639, 135, 843, 408 is 3.

Steps to Calculate GCD of 639, 135, 843, 408 using LCM Formula

Given numbers are 639, 135, 843, 408

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

Apply this formula for all numbers.

Step1:

LCM(639, 135) = 9585

GCD(639, 135) = ( 639 x 135 ) / 9585

= 639 / 135

= 639


Step2:

LCM(9, 843) = 2529

GCD(9, 843) = ( 9 x 843 ) / 2529

= 9 / 843

= 9


Step3:

LCM(3, 408) = 408

GCD(3, 408) = ( 3 x 408 ) / 408

= 3 / 408

= 3


So, Greatest Common Divisor of 639, 135, 843, 408 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 639, 135, 843, 408

Given numbers are 639, 135, 843, 408
The greatest common divisor of numbers 639, 135, 843, 408 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 639, 135, 843, 408 is 3.

FAQs on GCD of 639, 135, 843, 408 Calculator

1. What is the GCD of 639, 135, 843, 408?

GCD of given numbers 639, 135, 843, 408 is 3


2. How to calculate the greatest common divisor of 639, 135, 843, 408?

We can find the highest common divisor of 639, 135, 843, 408 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, 135, 843, 408 i.e 3.


3. How can I use the GCD of 639, 135, 843, 408Calculator?

Out the numbers 639, 135, 843, 408 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.