Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 447/548,6339/134
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 447,6339
Greatest Common Factor of Numerators i.e. GCF of 447,6339 is 3 .
LCM of Denominators means LCM of 548,134 as per the given fractions.
LCM of 548,134 is 36716 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 447,6339
3 | 447, 6339 |
149, 2113 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 447
List of positive integer factors of 447 that divides 447 without a remainder.
1,3,149,447
Factors of 6339
List of positive integer factors of 6339 that divides 6339 without a remainder.
1,3,2113,6339
Greatest Common Factor
We found the factors 447,6339 . The biggest common factor number is the GCF number.
So the greatest common factor 447,6339 is 3.
Lets's calculate LCM of 548,134
2 | 548, 134 |
274, 67 |
∴ So the LCM of the given numbers is 2 x 274 x 67 = 36716
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/36716
Therefore, the GCF of Fractions 447/548,6339/134 is 3/36716
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 548,134 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(548,134) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(548,134) x common factors =2 x 1 = 2
LCM(548,134) = ( 548 × 134 ) / 2
LCM(548,134) = 73432 / 2
LCM(548,134) = 36716
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 447/548, 6339/134?
Answer: GCF of Numerators as per given numbers 447/548, 6339/134 is
GCF of Numerators i.e. for 447,6339 is 3
LCM of denominators i.e. for 548,134 is 36716.
Thus, GCF of Fractions is 3/36716.Finally, GCF of Fractions for 447/548, 6339/134 is 3/36716.