Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 127/4817,991/1726
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 127,991
Greatest Common Factor of Numerators i.e. GCF of 127,991 is 1 .
LCM of Denominators means LCM of 4817,1726 as per the given fractions.
LCM of 4817,1726 is 8314142 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 127,991
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 127
List of positive integer factors of 127 that divides 127 without a remainder.
1,127
Factors of 991
List of positive integer factors of 991 that divides 991 without a remainder.
1,991
Greatest Common Factor
We found the factors 127,991 . The biggest common factor number is the GCF number.
So the greatest common factor 127,991 is 1.
Lets's calculate LCM of 4817,1726
Given numbers has no common factors except 1. So, there LCM is their product i.e 8314142
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8314142
Therefore, the GCF of Fractions 127/4817,991/1726 is 1/8314142
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 4817,1726 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4817,1726) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(4817,1726) x common factors =1 x 1 = 1
LCM(4817,1726) = ( 4817 × 1726 ) / 1
LCM(4817,1726) = 8314142 / 1
LCM(4817,1726) = 8314142
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 127/4817, 991/1726?
Answer: GCF of Numerators as per given numbers 127/4817, 991/1726 is
GCF of Numerators i.e. for 127,991 is 1
LCM of denominators i.e. for 4817,1726 is 8314142.
Thus, GCF of Fractions is 1/8314142.Finally, GCF of Fractions for 127/4817, 991/1726 is 1/8314142.