Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 96/490,15/478
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 96,15
Greatest Common Factor of Numerators i.e. GCF of 96,15 is 3 .
LCM of Denominators means LCM of 490,478 as per the given fractions.
LCM of 490,478 is 117110 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 96,15
3 | 96, 15 |
32, 5 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 96
List of positive integer factors of 96 that divides 96 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,96
Factors of 15
List of positive integer factors of 15 that divides 15 without a remainder.
1,3,5,15
Greatest Common Factor
We found the factors 96,15 . The biggest common factor number is the GCF number.
So the greatest common factor 96,15 is 3.
Lets's calculate LCM of 490,478
2 | 490, 478 |
245, 239 |
∴ So the LCM of the given numbers is 2 x 245 x 239 = 117110
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/117110
Therefore, the GCF of Fractions 96/490,15/478 is 3/117110
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 490,478 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(490,478) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(490,478) x common factors =2 x 1 = 2
LCM(490,478) = ( 490 × 478 ) / 2
LCM(490,478) = 234220 / 2
LCM(490,478) = 117110
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 96/490, 15/478?
Answer: GCF of Numerators as per given numbers 96/490, 15/478 is
GCF of Numerators i.e. for 96,15 is 3
LCM of denominators i.e. for 490,478 is 117110.
Thus, GCF of Fractions is 3/117110.Finally, GCF of Fractions for 96/490, 15/478 is 3/117110.