Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6127/59,4027/843
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 6127,4027
Greatest Common Factor of Numerators i.e. GCF of 6127,4027 is 1 .
LCM of Denominators means LCM of 59,843 as per the given fractions.
LCM of 59,843 is 49737 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6127,4027
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6127
List of positive integer factors of 6127 that divides 6127 without a remainder.
1,11,557,6127
Factors of 4027
List of positive integer factors of 4027 that divides 4027 without a remainder.
1,4027
Greatest Common Factor
We found the factors 6127,4027 . The biggest common factor number is the GCF number.
So the greatest common factor 6127,4027 is 1.
Lets's calculate LCM of 59,843
Given numbers has no common factors except 1. So, there LCM is their product i.e 49737
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/49737
Therefore, the GCF of Fractions 6127/59,4027/843 is 1/49737
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 59,843 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(59,843) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(59,843) x common factors =1 x 1 = 1
LCM(59,843) = ( 59 × 843 ) / 1
LCM(59,843) = 49737 / 1
LCM(59,843) = 49737
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 6127/59, 4027/843?
Answer: GCF of Numerators as per given numbers 6127/59, 4027/843 is
GCF of Numerators i.e. for 6127,4027 is 1
LCM of denominators i.e. for 59,843 is 49737.
Thus, GCF of Fractions is 1/49737.Finally, GCF of Fractions for 6127/59, 4027/843 is 1/49737.