Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1548/335,9908/179
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 1548,9908
Greatest Common Factor of Numerators i.e. GCF of 1548,9908 is 4 .
LCM of Denominators means LCM of 335,179 as per the given fractions.
LCM of 335,179 is 59965 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1548,9908
2 | 1548, 9908 |
2 | 774, 4954 |
387, 2477 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 1548
List of positive integer factors of 1548 that divides 1548 without a remainder.
1,2,3,4,6,9,12,18,36,43,86,129,172,258,387,516,774,1548
Factors of 9908
List of positive integer factors of 9908 that divides 9908 without a remainder.
1,2,4,2477,4954,9908
Greatest Common Factor
We found the factors 1548,9908 . The biggest common factor number is the GCF number.
So the greatest common factor 1548,9908 is 4.
Lets's calculate LCM of 335,179
Given numbers has no common factors except 1. So, there LCM is their product i.e 59965
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/59965
Therefore, the GCF of Fractions 1548/335,9908/179 is 4/59965
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 335,179 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(335,179) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(335,179) x common factors =1 x 1 = 1
LCM(335,179) = ( 335 × 179 ) / 1
LCM(335,179) = 59965 / 1
LCM(335,179) = 59965
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 1548/335, 9908/179?
Answer: GCF of Numerators as per given numbers 1548/335, 9908/179 is
GCF of Numerators i.e. for 1548,9908 is 4
LCM of denominators i.e. for 335,179 is 59965.
Thus, GCF of Fractions is 4/59965.Finally, GCF of Fractions for 1548/335, 9908/179 is 4/59965.