Greatest Common Factor of 327/439, 318/987, 344/490

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 327/439, 318/987, 344/490

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 327/439,318/987,344/490

Given fractions are 327/439,318/987,344/490

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 327,318,344

Greatest Common Factor of Numerators i.e. GCF of 327,318,344 is 1 .

LCM of Denominators means LCM of 439,987,490 as per the given fractions.

LCM of 439,987,490 is 30330510 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 327,318,344

GCF of Fractions 327/439,318/987,344/490 is 1/30330510

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 327,318,344 By Matching Biggest Common Factor Method

Greatest Common Factor of 327,318,344 By Matching Biggest Common Factor Method

Factors of 327

List of positive integer factors of 327 that divides 327 without a remainder.

1,3,109,327

Factors of 318

List of positive integer factors of 318 that divides 318 without a remainder.

1,2,3,6,53,106,159,318

Factors of 344

List of positive integer factors of 344 that divides 344 without a remainder.

1,2,4,8,43,86,172,344

Greatest Common Factor

We found the factors 327,318,344 . The biggest common factor number is the GCF number.
So the greatest common factor 327,318,344 is 1.

Lets's calculate LCM of 439,987,490

7 439, 987, 490
439, 141, 70

∴ So the LCM of the given numbers is 7 x 439 x 141 x 70 = 30330510

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30330510

Therefore, the GCF of Fractions 327/439,318/987,344/490 is 1/30330510

Least Common Multiple of 439,987,490 with GCF Formula

Least Common Multiple of 439,987,490 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 439,987,490 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(439,987,490) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(439,987,490) x common factors =1 x 7 = 7

LCM(439,987,490) = ( 439 × 987 × 490 ) / 7

LCM(439,987,490) = 212313570 / 7

LCM(439,987,490) = 30330510


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 327/439, 318/987, 344/490

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 327/439, 318/987, 344/490?

Answer: GCF of Numerators as per given numbers 327/439, 318/987, 344/490 is

GCF of Numerators i.e. for 327,318,344 is 1

LCM of denominators i.e. for 439,987,490 is 30330510.

Thus, GCF of Fractions is 1/30330510.Finally, GCF of Fractions for 327/439, 318/987, 344/490 is 1/30330510.