Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 442/270,4131/403
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 442,4131
Greatest Common Factor of Numerators i.e. GCF of 442,4131 is 17 .
LCM of Denominators means LCM of 270,403 as per the given fractions.
LCM of 270,403 is 108810 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 442,4131
17 | 442, 4131 |
26, 243 |
∴ So the GCF of the given numbers is 17 = 17
Factors of 442
List of positive integer factors of 442 that divides 442 without a remainder.
1,2,13,17,26,34,221,442
Factors of 4131
List of positive integer factors of 4131 that divides 4131 without a remainder.
1,3,9,17,27,51,81,153,243,459,1377,4131
Greatest Common Factor
We found the factors 442,4131 . The biggest common factor number is the GCF number.
So the greatest common factor 442,4131 is 17.
Lets's calculate LCM of 270,403
Given numbers has no common factors except 1. So, there LCM is their product i.e 108810
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/108810
Therefore, the GCF of Fractions 442/270,4131/403 is 17/108810
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 270,403 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(270,403) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(270,403) x common factors =1 x 1 = 1
LCM(270,403) = ( 270 × 403 ) / 1
LCM(270,403) = 108810 / 1
LCM(270,403) = 108810
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 442/270, 4131/403?
Answer: GCF of Numerators as per given numbers 442/270, 4131/403 is
GCF of Numerators i.e. for 442,4131 is 17
LCM of denominators i.e. for 270,403 is 108810.
Thus, GCF of Fractions is 17/108810.Finally, GCF of Fractions for 442/270, 4131/403 is 17/108810.