Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4448/97,3211/915
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 4448,3211
Greatest Common Factor of Numerators i.e. GCF of 4448,3211 is 1 .
LCM of Denominators means LCM of 97,915 as per the given fractions.
LCM of 97,915 is 88755 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4448,3211
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4448
List of positive integer factors of 4448 that divides 4448 without a remainder.
1,2,4,8,16,32,139,278,556,1112,2224,4448
Factors of 3211
List of positive integer factors of 3211 that divides 3211 without a remainder.
1,13,19,169,247,3211
Greatest Common Factor
We found the factors 4448,3211 . The biggest common factor number is the GCF number.
So the greatest common factor 4448,3211 is 1.
Lets's calculate LCM of 97,915
Given numbers has no common factors except 1. So, there LCM is their product i.e 88755
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/88755
Therefore, the GCF of Fractions 4448/97,3211/915 is 1/88755
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 97,915 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(97,915) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(97,915) x common factors =1 x 1 = 1
LCM(97,915) = ( 97 × 915 ) / 1
LCM(97,915) = 88755 / 1
LCM(97,915) = 88755
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 4448/97, 3211/915?
Answer: GCF of Numerators as per given numbers 4448/97, 3211/915 is
GCF of Numerators i.e. for 4448,3211 is 1
LCM of denominators i.e. for 97,915 is 88755.
Thus, GCF of Fractions is 1/88755.Finally, GCF of Fractions for 4448/97, 3211/915 is 1/88755.