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GCD of 338, 611, 461, 488 Calculator

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


Online GCD Calculator is useful to find the GCD of 338, 611, 461, 488 quickly. Get the easiest ways to solve the greatest common divisor of 338, 611, 461, 488 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 338, 611, 461, 488 with Factoring?

Given Input numbers are 338, 611, 461, 488

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

Divisors of 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

Divisors of 611 :

The positive integer divisors of 611 that completely divides 611 are.

1, 13, 47, 611

Divisors of 461 :

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

1, 461

Divisors of 488 :

The positive integer divisors of 488 that completely divides 488 are.

1, 2, 4, 8, 61, 122, 244, 488


GCD of numbers is the greatest common divisor

So, the GCD (338, 611, 461, 488) = 1.

Find GCD of 338, 611, 461, 488 using Prime Factorization

Given numbers are 338, 611, 461, 488

The list of prime factors of all numbers are

Prime factors of 338 are 2 x 13 x 13

Prime factors of 611 are 13 x 47

Prime factors of 461 are 461

Prime factors of 488 are 2 x 2 x 2 x 61

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

Steps to Calculate GCD of 338, 611, 461, 488 using LCM Formula

Given numbers are 338, 611, 461, 488

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

Apply this formula for all numbers.

Step1:

LCM(338, 611) = 15886

GCD(338, 611) = ( 338 x 611 ) / 15886

= 338 / 611

= 338


Step2:

LCM(13, 461) = 5993

GCD(13, 461) = ( 13 x 461 ) / 5993

= 13 / 461

= 13


Step3:

LCM(1, 488) = 488

GCD(1, 488) = ( 1 x 488 ) / 488

= 1 / 488

= 1


So, Greatest Common Divisor of 338, 611, 461, 488 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 338, 611, 461, 488

Given numbers are 338, 611, 461, 488
The greatest common divisor of numbers 338, 611, 461, 488 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 338, 611, 461, 488 is 1.

FAQs on GCD of 338, 611, 461, 488 Calculator

1. What is the GCD of 338, 611, 461, 488?

GCD of given numbers 338, 611, 461, 488 is 1


2. How to calculate the greatest common divisor of 338, 611, 461, 488?

We can find the highest common divisor of 338, 611, 461, 488 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 338, 611, 461, 488 i.e 1.


3. How can I use the GCD of 338, 611, 461, 488Calculator?

Out the numbers 338, 611, 461, 488 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.