Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8663/53,8380/232
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 8663,8380
Greatest Common Factor of Numerators i.e. GCF of 8663,8380 is 1 .
LCM of Denominators means LCM of 53,232 as per the given fractions.
LCM of 53,232 is 12296 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8663,8380
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8663
List of positive integer factors of 8663 that divides 8663 without a remainder.
1,8663
Factors of 8380
List of positive integer factors of 8380 that divides 8380 without a remainder.
1,2,4,5,10,20,419,838,1676,2095,4190,8380
Greatest Common Factor
We found the factors 8663,8380 . The biggest common factor number is the GCF number.
So the greatest common factor 8663,8380 is 1.
Lets's calculate LCM of 53,232
Given numbers has no common factors except 1. So, there LCM is their product i.e 12296
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12296
Therefore, the GCF of Fractions 8663/53,8380/232 is 1/12296
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 53,232 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(53,232) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(53,232) x common factors =1 x 1 = 1
LCM(53,232) = ( 53 × 232 ) / 1
LCM(53,232) = 12296 / 1
LCM(53,232) = 12296
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 8663/53, 8380/232?
Answer: GCF of Numerators as per given numbers 8663/53, 8380/232 is
GCF of Numerators i.e. for 8663,8380 is 1
LCM of denominators i.e. for 53,232 is 12296.
Thus, GCF of Fractions is 1/12296.Finally, GCF of Fractions for 8663/53, 8380/232 is 1/12296.