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GCD of 461, 138, 243, 336 Calculator

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


Online GCD Calculator is useful to find the GCD of 461, 138, 243, 336 quickly. Get the easiest ways to solve the greatest common divisor of 461, 138, 243, 336 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 461, 138, 243, 336 with Factoring?

Given Input numbers are 461, 138, 243, 336

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

Divisors of 461 :

The positive integer divisors of 461 that completely divides 461 are.

1, 461

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 243 :

The positive integer divisors of 243 that completely divides 243 are.

1, 3, 9, 27, 81, 243

Divisors of 336 :

The positive integer divisors of 336 that completely divides 336 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336


GCD of numbers is the greatest common divisor

So, the GCD (461, 138, 243, 336) = 1.

Find GCD of 461, 138, 243, 336 using Prime Factorization

Given numbers are 461, 138, 243, 336

The list of prime factors of all numbers are

Prime factors of 461 are 461

Prime factors of 138 are 2 x 3 x 23

Prime factors of 243 are 3 x 3 x 3 x 3 x 3

Prime factors of 336 are 2 x 2 x 2 x 2 x 3 x 7

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

Steps to Calculate GCD of 461, 138, 243, 336 using LCM Formula

Given numbers are 461, 138, 243, 336

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

Apply this formula for all numbers.

Step1:

LCM(461, 138) = 63618

GCD(461, 138) = ( 461 x 138 ) / 63618

= 461 / 138

= 461


Step2:

LCM(1, 243) = 243

GCD(1, 243) = ( 1 x 243 ) / 243

= 1 / 243

= 1


Step3:

LCM(1, 336) = 336

GCD(1, 336) = ( 1 x 336 ) / 336

= 1 / 336

= 1


So, Greatest Common Divisor of 461, 138, 243, 336 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 461, 138, 243, 336

Given numbers are 461, 138, 243, 336
The greatest common divisor of numbers 461, 138, 243, 336 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 461, 138, 243, 336 is 1.

FAQs on GCD of 461, 138, 243, 336 Calculator

1. What is the GCD of 461, 138, 243, 336?

GCD of given numbers 461, 138, 243, 336 is 1


2. How to calculate the greatest common divisor of 461, 138, 243, 336?

We can find the highest common divisor of 461, 138, 243, 336 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 461, 138, 243, 336 i.e 1.


3. How can I use the GCD of 461, 138, 243, 336Calculator?

Out the numbers 461, 138, 243, 336 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.