Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4845/158,2216/3847
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 4845,2216
Greatest Common Factor of Numerators i.e. GCF of 4845,2216 is 1 .
LCM of Denominators means LCM of 158,3847 as per the given fractions.
LCM of 158,3847 is 607826 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4845,2216
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4845
List of positive integer factors of 4845 that divides 4845 without a remainder.
1,3,5,15,17,19,51,57,85,95,255,285,323,969,1615,4845
Factors of 2216
List of positive integer factors of 2216 that divides 2216 without a remainder.
1,2,4,8,277,554,1108,2216
Greatest Common Factor
We found the factors 4845,2216 . The biggest common factor number is the GCF number.
So the greatest common factor 4845,2216 is 1.
Lets's calculate LCM of 158,3847
Given numbers has no common factors except 1. So, there LCM is their product i.e 607826
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/607826
Therefore, the GCF of Fractions 4845/158,2216/3847 is 1/607826
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 158,3847 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(158,3847) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(158,3847) x common factors =1 x 1 = 1
LCM(158,3847) = ( 158 × 3847 ) / 1
LCM(158,3847) = 607826 / 1
LCM(158,3847) = 607826
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 4845/158, 2216/3847?
Answer: GCF of Numerators as per given numbers 4845/158, 2216/3847 is
GCF of Numerators i.e. for 4845,2216 is 1
LCM of denominators i.e. for 158,3847 is 607826.
Thus, GCF of Fractions is 1/607826.Finally, GCF of Fractions for 4845/158, 2216/3847 is 1/607826.