Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 196/240,147/285
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 196,147
Greatest Common Factor of Numerators i.e. GCF of 196,147 is 49 .
LCM of Denominators means LCM of 240,285 as per the given fractions.
LCM of 240,285 is 4560 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 196,147
7 | 196, 147 |
7 | 28, 21 |
4, 3 |
∴ So the GCF of the given numbers is 7 x 7 = 49
Factors of 196
List of positive integer factors of 196 that divides 196 without a remainder.
1,2,4,7,14,28,49,98,196
Factors of 147
List of positive integer factors of 147 that divides 147 without a remainder.
1,3,7,21,49,147
Greatest Common Factor
We found the factors 196,147 . The biggest common factor number is the GCF number.
So the greatest common factor 196,147 is 49.
Lets's calculate LCM of 240,285
3 | 240, 285 |
5 | 80, 95 |
16, 19 |
∴ So the LCM of the given numbers is 3 x 5 x 16 x 19 = 4560
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 49/4560
Therefore, the GCF of Fractions 196/240,147/285 is 49/4560
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 240,285 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(240,285) = 15
common factors(in case of two or more numbers have common factors) = 1
GCF(240,285) x common factors =15 x 1 = 15
LCM(240,285) = ( 240 × 285 ) / 15
LCM(240,285) = 68400 / 15
LCM(240,285) = 4560
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 196/240, 147/285?
Answer: GCF of Numerators as per given numbers 196/240, 147/285 is
GCF of Numerators i.e. for 196,147 is 49
LCM of denominators i.e. for 240,285 is 4560.
Thus, GCF of Fractions is 49/4560.Finally, GCF of Fractions for 196/240, 147/285 is 49/4560.