Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2047/646,8727/2941
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 2047,8727
Greatest Common Factor of Numerators i.e. GCF of 2047,8727 is 1 .
LCM of Denominators means LCM of 646,2941 as per the given fractions.
LCM of 646,2941 is 111758 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2047,8727
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2047
List of positive integer factors of 2047 that divides 2047 without a remainder.
1,23,89,2047
Factors of 8727
List of positive integer factors of 8727 that divides 8727 without a remainder.
1,3,2909,8727
Greatest Common Factor
We found the factors 2047,8727 . The biggest common factor number is the GCF number.
So the greatest common factor 2047,8727 is 1.
Lets's calculate LCM of 646,2941
17 | 646, 2941 |
38, 173 |
∴ So the LCM of the given numbers is 17 x 38 x 173 = 111758
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/111758
Therefore, the GCF of Fractions 2047/646,8727/2941 is 1/111758
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 646,2941 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(646,2941) = 17
common factors(in case of two or more numbers have common factors) = 1
GCF(646,2941) x common factors =17 x 1 = 17
LCM(646,2941) = ( 646 × 2941 ) / 17
LCM(646,2941) = 1899886 / 17
LCM(646,2941) = 111758
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 2047/646, 8727/2941?
Answer: GCF of Numerators as per given numbers 2047/646, 8727/2941 is
GCF of Numerators i.e. for 2047,8727 is 1
LCM of denominators i.e. for 646,2941 is 111758.
Thus, GCF of Fractions is 1/111758.Finally, GCF of Fractions for 2047/646, 8727/2941 is 1/111758.