Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5412/239,4145/1848
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 5412,4145
Greatest Common Factor of Numerators i.e. GCF of 5412,4145 is 1 .
LCM of Denominators means LCM of 239,1848 as per the given fractions.
LCM of 239,1848 is 441672 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5412,4145
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5412
List of positive integer factors of 5412 that divides 5412 without a remainder.
1,2,3,4,6,11,12,22,33,41,44,66,82,123,132,164,246,451,492,902,1353,1804,2706,5412
Factors of 4145
List of positive integer factors of 4145 that divides 4145 without a remainder.
1,5,829,4145
Greatest Common Factor
We found the factors 5412,4145 . The biggest common factor number is the GCF number.
So the greatest common factor 5412,4145 is 1.
Lets's calculate LCM of 239,1848
Given numbers has no common factors except 1. So, there LCM is their product i.e 441672
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/441672
Therefore, the GCF of Fractions 5412/239,4145/1848 is 1/441672
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 239,1848 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(239,1848) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(239,1848) x common factors =1 x 1 = 1
LCM(239,1848) = ( 239 × 1848 ) / 1
LCM(239,1848) = 441672 / 1
LCM(239,1848) = 441672
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 5412/239, 4145/1848?
Answer: GCF of Numerators as per given numbers 5412/239, 4145/1848 is
GCF of Numerators i.e. for 5412,4145 is 1
LCM of denominators i.e. for 239,1848 is 441672.
Thus, GCF of Fractions is 1/441672.Finally, GCF of Fractions for 5412/239, 4145/1848 is 1/441672.