Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 297/15,330/4802
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 297,330
Greatest Common Factor of Numerators i.e. GCF of 297,330 is 33 .
LCM of Denominators means LCM of 15,4802 as per the given fractions.
LCM of 15,4802 is 72030 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 297,330
3 | 297, 330 |
11 | 99, 110 |
9, 10 |
∴ So the GCF of the given numbers is 3 x 11 = 33
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 330
List of positive integer factors of 330 that divides 330 without a remainder.
1,2,3,5,6,10,11,15,22,30,33,55,66,110,165,330
Greatest Common Factor
We found the factors 297,330 . The biggest common factor number is the GCF number.
So the greatest common factor 297,330 is 33.
Lets's calculate LCM of 15,4802
Given numbers has no common factors except 1. So, there LCM is their product i.e 72030
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 33/72030
Therefore, the GCF of Fractions 297/15,330/4802 is 33/72030
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 15,4802 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(15,4802) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(15,4802) x common factors =1 x 1 = 1
LCM(15,4802) = ( 15 × 4802 ) / 1
LCM(15,4802) = 72030 / 1
LCM(15,4802) = 72030
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 297/15, 330/4802?
Answer: GCF of Numerators as per given numbers 297/15, 330/4802 is
GCF of Numerators i.e. for 297,330 is 33
LCM of denominators i.e. for 15,4802 is 72030.
Thus, GCF of Fractions is 33/72030.Finally, GCF of Fractions for 297/15, 330/4802 is 33/72030.