Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8074/148,7994/845
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 8074,7994
Greatest Common Factor of Numerators i.e. GCF of 8074,7994 is 2 .
LCM of Denominators means LCM of 148,845 as per the given fractions.
LCM of 148,845 is 125060 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8074,7994
2 | 8074, 7994 |
4037, 3997 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 8074
List of positive integer factors of 8074 that divides 8074 without a remainder.
1,2,11,22,367,734,4037,8074
Factors of 7994
List of positive integer factors of 7994 that divides 7994 without a remainder.
1,2,7,14,571,1142,3997,7994
Greatest Common Factor
We found the factors 8074,7994 . The biggest common factor number is the GCF number.
So the greatest common factor 8074,7994 is 2.
Lets's calculate LCM of 148,845
Given numbers has no common factors except 1. So, there LCM is their product i.e 125060
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/125060
Therefore, the GCF of Fractions 8074/148,7994/845 is 2/125060
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 148,845 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(148,845) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(148,845) x common factors =1 x 1 = 1
LCM(148,845) = ( 148 × 845 ) / 1
LCM(148,845) = 125060 / 1
LCM(148,845) = 125060
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 8074/148, 7994/845?
Answer: GCF of Numerators as per given numbers 8074/148, 7994/845 is
GCF of Numerators i.e. for 8074,7994 is 2
LCM of denominators i.e. for 148,845 is 125060.
Thus, GCF of Fractions is 2/125060.Finally, GCF of Fractions for 8074/148, 7994/845 is 2/125060.