Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4271/982,9081/9157
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 4271,9081
Greatest Common Factor of Numerators i.e. GCF of 4271,9081 is 1 .
LCM of Denominators means LCM of 982,9157 as per the given fractions.
LCM of 982,9157 is 8992174 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4271,9081
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4271
List of positive integer factors of 4271 that divides 4271 without a remainder.
1,4271
Factors of 9081
List of positive integer factors of 9081 that divides 9081 without a remainder.
1,3,9,1009,3027,9081
Greatest Common Factor
We found the factors 4271,9081 . The biggest common factor number is the GCF number.
So the greatest common factor 4271,9081 is 1.
Lets's calculate LCM of 982,9157
Given numbers has no common factors except 1. So, there LCM is their product i.e 8992174
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8992174
Therefore, the GCF of Fractions 4271/982,9081/9157 is 1/8992174
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 982,9157 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(982,9157) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(982,9157) x common factors =1 x 1 = 1
LCM(982,9157) = ( 982 × 9157 ) / 1
LCM(982,9157) = 8992174 / 1
LCM(982,9157) = 8992174
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 4271/982, 9081/9157?
Answer: GCF of Numerators as per given numbers 4271/982, 9081/9157 is
GCF of Numerators i.e. for 4271,9081 is 1
LCM of denominators i.e. for 982,9157 is 8992174.
Thus, GCF of Fractions is 1/8992174.Finally, GCF of Fractions for 4271/982, 9081/9157 is 1/8992174.