Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1026/966,3911/4005
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 1026,3911
Greatest Common Factor of Numerators i.e. GCF of 1026,3911 is 1 .
LCM of Denominators means LCM of 966,4005 as per the given fractions.
LCM of 966,4005 is 1289610 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1026,3911
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1026
List of positive integer factors of 1026 that divides 1026 without a remainder.
1,2,3,6,9,18,19,27,38,54,57,114,171,342,513,1026
Factors of 3911
List of positive integer factors of 3911 that divides 3911 without a remainder.
1,3911
Greatest Common Factor
We found the factors 1026,3911 . The biggest common factor number is the GCF number.
So the greatest common factor 1026,3911 is 1.
Lets's calculate LCM of 966,4005
3 | 966, 4005 |
322, 1335 |
∴ So the LCM of the given numbers is 3 x 322 x 1335 = 1289610
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1289610
Therefore, the GCF of Fractions 1026/966,3911/4005 is 1/1289610
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 966,4005 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(966,4005) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(966,4005) x common factors =3 x 1 = 3
LCM(966,4005) = ( 966 × 4005 ) / 3
LCM(966,4005) = 3868830 / 3
LCM(966,4005) = 1289610
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 1026/966, 3911/4005?
Answer: GCF of Numerators as per given numbers 1026/966, 3911/4005 is
GCF of Numerators i.e. for 1026,3911 is 1
LCM of denominators i.e. for 966,4005 is 1289610.
Thus, GCF of Fractions is 1/1289610.Finally, GCF of Fractions for 1026/966, 3911/4005 is 1/1289610.