Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 297/240,4444/655
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 297,4444
Greatest Common Factor of Numerators i.e. GCF of 297,4444 is 11 .
LCM of Denominators means LCM of 240,655 as per the given fractions.
LCM of 240,655 is 31440 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 297,4444
11 | 297, 4444 |
27, 404 |
∴ So the GCF of the given numbers is 11 = 11
Factors of 297
List of positive integer factors of 297 that divides 297 without a remainder.
1,3,9,11,27,33,99,297
Factors of 4444
List of positive integer factors of 4444 that divides 4444 without a remainder.
1,2,4,11,22,44,101,202,404,1111,2222,4444
Greatest Common Factor
We found the factors 297,4444 . The biggest common factor number is the GCF number.
So the greatest common factor 297,4444 is 11.
Lets's calculate LCM of 240,655
5 | 240, 655 |
48, 131 |
∴ So the LCM of the given numbers is 5 x 48 x 131 = 31440
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/31440
Therefore, the GCF of Fractions 297/240,4444/655 is 11/31440
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 240,655 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(240,655) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(240,655) x common factors =5 x 1 = 5
LCM(240,655) = ( 240 × 655 ) / 5
LCM(240,655) = 157200 / 5
LCM(240,655) = 31440
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 297/240, 4444/655?
Answer: GCF of Numerators as per given numbers 297/240, 4444/655 is
GCF of Numerators i.e. for 297,4444 is 11
LCM of denominators i.e. for 240,655 is 31440.
Thus, GCF of Fractions is 11/31440.Finally, GCF of Fractions for 297/240, 4444/655 is 11/31440.