Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
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
∴ So GCF of numbers is 1 because of no common factors present between them.
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
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
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
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.