Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1242/914,6295/3899
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 1242,6295
Greatest Common Factor of Numerators i.e. GCF of 1242,6295 is 1 .
LCM of Denominators means LCM of 914,3899 as per the given fractions.
LCM of 914,3899 is 3563686 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1242,6295
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1242
List of positive integer factors of 1242 that divides 1242 without a remainder.
1,2,3,6,9,18,23,27,46,54,69,138,207,414,621,1242
Factors of 6295
List of positive integer factors of 6295 that divides 6295 without a remainder.
1,5,1259,6295
Greatest Common Factor
We found the factors 1242,6295 . The biggest common factor number is the GCF number.
So the greatest common factor 1242,6295 is 1.
Lets's calculate LCM of 914,3899
Given numbers has no common factors except 1. So, there LCM is their product i.e 3563686
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3563686
Therefore, the GCF of Fractions 1242/914,6295/3899 is 1/3563686
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 914,3899 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(914,3899) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(914,3899) x common factors =1 x 1 = 1
LCM(914,3899) = ( 914 × 3899 ) / 1
LCM(914,3899) = 3563686 / 1
LCM(914,3899) = 3563686
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 1242/914, 6295/3899?
Answer: GCF of Numerators as per given numbers 1242/914, 6295/3899 is
GCF of Numerators i.e. for 1242,6295 is 1
LCM of denominators i.e. for 914,3899 is 3563686.
Thus, GCF of Fractions is 1/3563686.Finally, GCF of Fractions for 1242/914, 6295/3899 is 1/3563686.