Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 548/209,118/146
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 548,118
Greatest Common Factor of Numerators i.e. GCF of 548,118 is 2 .
LCM of Denominators means LCM of 209,146 as per the given fractions.
LCM of 209,146 is 30514 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 548,118
2 | 548, 118 |
274, 59 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 548
List of positive integer factors of 548 that divides 548 without a remainder.
1,2,4,137,274,548
Factors of 118
List of positive integer factors of 118 that divides 118 without a remainder.
1,2,59,118
Greatest Common Factor
We found the factors 548,118 . The biggest common factor number is the GCF number.
So the greatest common factor 548,118 is 2.
Lets's calculate LCM of 209,146
Given numbers has no common factors except 1. So, there LCM is their product i.e 30514
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/30514
Therefore, the GCF of Fractions 548/209,118/146 is 2/30514
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 209,146 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(209,146) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(209,146) x common factors =1 x 1 = 1
LCM(209,146) = ( 209 × 146 ) / 1
LCM(209,146) = 30514 / 1
LCM(209,146) = 30514
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 548/209, 118/146?
Answer: GCF of Numerators as per given numbers 548/209, 118/146 is
GCF of Numerators i.e. for 548,118 is 2
LCM of denominators i.e. for 209,146 is 30514.
Thus, GCF of Fractions is 2/30514.Finally, GCF of Fractions for 548/209, 118/146 is 2/30514.