Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 336/39,934/4982
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 336,934
Greatest Common Factor of Numerators i.e. GCF of 336,934 is 2 .
LCM of Denominators means LCM of 39,4982 as per the given fractions.
LCM of 39,4982 is 194298 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 336,934
2 | 336, 934 |
168, 467 |
∴ So the GCF of the given numbers is 2 = 2
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 934
List of positive integer factors of 934 that divides 934 without a remainder.
1,2,467,934
Greatest Common Factor
We found the factors 336,934 . The biggest common factor number is the GCF number.
So the greatest common factor 336,934 is 2.
Lets's calculate LCM of 39,4982
Given numbers has no common factors except 1. So, there LCM is their product i.e 194298
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/194298
Therefore, the GCF of Fractions 336/39,934/4982 is 2/194298
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 39,4982 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(39,4982) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(39,4982) x common factors =1 x 1 = 1
LCM(39,4982) = ( 39 × 4982 ) / 1
LCM(39,4982) = 194298 / 1
LCM(39,4982) = 194298
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 336/39, 934/4982?
Answer: GCF of Numerators as per given numbers 336/39, 934/4982 is
GCF of Numerators i.e. for 336,934 is 2
LCM of denominators i.e. for 39,4982 is 194298.
Thus, GCF of Fractions is 2/194298.Finally, GCF of Fractions for 336/39, 934/4982 is 2/194298.