Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 336/386,4317/311
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 336,4317
Greatest Common Factor of Numerators i.e. GCF of 336,4317 is 3 .
LCM of Denominators means LCM of 386,311 as per the given fractions.
LCM of 386,311 is 120046 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 336,4317
3 | 336, 4317 |
112, 1439 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 336
List of positive integer factors of 336 that divides 336 without a remainder.
1,2,3,4,6,7,8,12,14,16,21,24,28,42,48,56,84,112,168,336
Factors of 4317
List of positive integer factors of 4317 that divides 4317 without a remainder.
1,3,1439,4317
Greatest Common Factor
We found the factors 336,4317 . The biggest common factor number is the GCF number.
So the greatest common factor 336,4317 is 3.
Lets's calculate LCM of 386,311
Given numbers has no common factors except 1. So, there LCM is their product i.e 120046
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/120046
Therefore, the GCF of Fractions 336/386,4317/311 is 3/120046
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 386,311 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(386,311) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(386,311) x common factors =1 x 1 = 1
LCM(386,311) = ( 386 × 311 ) / 1
LCM(386,311) = 120046 / 1
LCM(386,311) = 120046
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 336/386, 4317/311?
Answer: GCF of Numerators as per given numbers 336/386, 4317/311 is
GCF of Numerators i.e. for 336,4317 is 3
LCM of denominators i.e. for 386,311 is 120046.
Thus, GCF of Fractions is 3/120046.Finally, GCF of Fractions for 336/386, 4317/311 is 3/120046.