Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9330/39,4206/896
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 9330,4206
Greatest Common Factor of Numerators i.e. GCF of 9330,4206 is 6 .
LCM of Denominators means LCM of 39,896 as per the given fractions.
LCM of 39,896 is 34944 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9330,4206
2 | 9330, 4206 |
3 | 4665, 2103 |
1555, 701 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Factors of 9330
List of positive integer factors of 9330 that divides 9330 without a remainder.
1,2,3,5,6,10,15,30,311,622,933,1555,1866,3110,4665,9330
Factors of 4206
List of positive integer factors of 4206 that divides 4206 without a remainder.
1,2,3,6,701,1402,2103,4206
Greatest Common Factor
We found the factors 9330,4206 . The biggest common factor number is the GCF number.
So the greatest common factor 9330,4206 is 6.
Lets's calculate LCM of 39,896
Given numbers has no common factors except 1. So, there LCM is their product i.e 34944
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/34944
Therefore, the GCF of Fractions 9330/39,4206/896 is 6/34944
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 39,896 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(39,896) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(39,896) x common factors =1 x 1 = 1
LCM(39,896) = ( 39 × 896 ) / 1
LCM(39,896) = 34944 / 1
LCM(39,896) = 34944
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 9330/39, 4206/896?
Answer: GCF of Numerators as per given numbers 9330/39, 4206/896 is
GCF of Numerators i.e. for 9330,4206 is 6
LCM of denominators i.e. for 39,896 is 34944.
Thus, GCF of Fractions is 6/34944.Finally, GCF of Fractions for 9330/39, 4206/896 is 6/34944.