Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 240/8833,929/5915
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 240,929
Greatest Common Factor of Numerators i.e. GCF of 240,929 is 1 .
LCM of Denominators means LCM of 8833,5915 as per the given fractions.
LCM of 8833,5915 is 52247195 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 240,929
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 240
List of positive integer factors of 240 that divides 240 without a remainder.
1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240
Factors of 929
List of positive integer factors of 929 that divides 929 without a remainder.
1,929
Greatest Common Factor
We found the factors 240,929 . The biggest common factor number is the GCF number.
So the greatest common factor 240,929 is 1.
Lets's calculate LCM of 8833,5915
Given numbers has no common factors except 1. So, there LCM is their product i.e 52247195
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/52247195
Therefore, the GCF of Fractions 240/8833,929/5915 is 1/52247195
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 8833,5915 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8833,5915) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8833,5915) x common factors =1 x 1 = 1
LCM(8833,5915) = ( 8833 × 5915 ) / 1
LCM(8833,5915) = 52247195 / 1
LCM(8833,5915) = 52247195
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 240/8833, 929/5915?
Answer: GCF of Numerators as per given numbers 240/8833, 929/5915 is
GCF of Numerators i.e. for 240,929 is 1
LCM of denominators i.e. for 8833,5915 is 52247195.
Thus, GCF of Fractions is 1/52247195.Finally, GCF of Fractions for 240/8833, 929/5915 is 1/52247195.