Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1443/842,1239/4845
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 1443,1239
Greatest Common Factor of Numerators i.e. GCF of 1443,1239 is 3 .
LCM of Denominators means LCM of 842,4845 as per the given fractions.
LCM of 842,4845 is 4079490 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1443,1239
3 | 1443, 1239 |
481, 413 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 1443
List of positive integer factors of 1443 that divides 1443 without a remainder.
1,3,13,37,39,111,481,1443
Factors of 1239
List of positive integer factors of 1239 that divides 1239 without a remainder.
1,3,7,21,59,177,413,1239
Greatest Common Factor
We found the factors 1443,1239 . The biggest common factor number is the GCF number.
So the greatest common factor 1443,1239 is 3.
Lets's calculate LCM of 842,4845
Given numbers has no common factors except 1. So, there LCM is their product i.e 4079490
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/4079490
Therefore, the GCF of Fractions 1443/842,1239/4845 is 3/4079490
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 842,4845 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(842,4845) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(842,4845) x common factors =1 x 1 = 1
LCM(842,4845) = ( 842 × 4845 ) / 1
LCM(842,4845) = 4079490 / 1
LCM(842,4845) = 4079490
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 1443/842, 1239/4845?
Answer: GCF of Numerators as per given numbers 1443/842, 1239/4845 is
GCF of Numerators i.e. for 1443,1239 is 3
LCM of denominators i.e. for 842,4845 is 4079490.
Thus, GCF of Fractions is 3/4079490.Finally, GCF of Fractions for 1443/842, 1239/4845 is 3/4079490.