Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 335/598,9408/3304
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 335,9408
Greatest Common Factor of Numerators i.e. GCF of 335,9408 is 1 .
LCM of Denominators means LCM of 598,3304 as per the given fractions.
LCM of 598,3304 is 987896 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 335,9408
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 335
List of positive integer factors of 335 that divides 335 without a remainder.
1,5,67,335
Factors of 9408
List of positive integer factors of 9408 that divides 9408 without a remainder.
1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,49,56,64,84,96,98,112,147,168,192,196,224,294,336,392,448,588,672,784,1176,1344,1568,2352,3136,4704,9408
Greatest Common Factor
We found the factors 335,9408 . The biggest common factor number is the GCF number.
So the greatest common factor 335,9408 is 1.
Lets's calculate LCM of 598,3304
2 | 598, 3304 |
299, 1652 |
∴ So the LCM of the given numbers is 2 x 299 x 1652 = 987896
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/987896
Therefore, the GCF of Fractions 335/598,9408/3304 is 1/987896
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 598,3304 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(598,3304) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(598,3304) x common factors =2 x 1 = 2
LCM(598,3304) = ( 598 × 3304 ) / 2
LCM(598,3304) = 1975792 / 2
LCM(598,3304) = 987896
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 335/598, 9408/3304?
Answer: GCF of Numerators as per given numbers 335/598, 9408/3304 is
GCF of Numerators i.e. for 335,9408 is 1
LCM of denominators i.e. for 598,3304 is 987896.
Thus, GCF of Fractions is 1/987896.Finally, GCF of Fractions for 335/598, 9408/3304 is 1/987896.