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GCD of 408, 629, 273, 135 Calculator

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


Online GCD Calculator is useful to find the GCD of 408, 629, 273, 135 quickly. Get the easiest ways to solve the greatest common divisor of 408, 629, 273, 135 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 408, 629, 273, 135 with Factoring?

Given Input numbers are 408, 629, 273, 135

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

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

Divisors of 629 :

The positive integer divisors of 629 that completely divides 629 are.

1, 17, 37, 629

Divisors of 273 :

The positive integer divisors of 273 that completely divides 273 are.

1, 3, 7, 13, 21, 39, 91, 273

Divisors of 135 :

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

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


GCD of numbers is the greatest common divisor

So, the GCD (408, 629, 273, 135) = 1.

Find GCD of 408, 629, 273, 135 using Prime Factorization

Given numbers are 408, 629, 273, 135

The list of prime factors of all numbers are

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

Prime factors of 629 are 17 x 37

Prime factors of 273 are 3 x 7 x 13

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

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 408, 629, 273, 135 using LCM Formula

Given numbers are 408, 629, 273, 135

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

Apply this formula for all numbers.

Step1:

LCM(408, 629) = 15096

GCD(408, 629) = ( 408 x 629 ) / 15096

= 408 / 629

= 408


Step2:

LCM(17, 273) = 4641

GCD(17, 273) = ( 17 x 273 ) / 4641

= 17 / 273

= 17


Step3:

LCM(1, 135) = 135

GCD(1, 135) = ( 1 x 135 ) / 135

= 1 / 135

= 1


So, Greatest Common Divisor of 408, 629, 273, 135 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 408, 629, 273, 135

Given numbers are 408, 629, 273, 135
The greatest common divisor of numbers 408, 629, 273, 135 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 408, 629, 273, 135 is 1.

FAQs on GCD of 408, 629, 273, 135 Calculator

1. What is the GCD of 408, 629, 273, 135?

GCD of given numbers 408, 629, 273, 135 is 1


2. How to calculate the greatest common divisor of 408, 629, 273, 135?

We can find the highest common divisor of 408, 629, 273, 135 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 408, 629, 273, 135 i.e 1.


3. How can I use the GCD of 408, 629, 273, 135Calculator?

Out the numbers 408, 629, 273, 135 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.