Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 132/872,6511/327
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 132,6511
Greatest Common Factor of Numerators i.e. GCF of 132,6511 is 1 .
LCM of Denominators means LCM of 872,327 as per the given fractions.
LCM of 872,327 is 2616 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 132,6511
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 132
List of positive integer factors of 132 that divides 132 without a remainder.
1,2,3,4,6,11,12,22,33,44,66,132
Factors of 6511
List of positive integer factors of 6511 that divides 6511 without a remainder.
1,17,383,6511
Greatest Common Factor
We found the factors 132,6511 . The biggest common factor number is the GCF number.
So the greatest common factor 132,6511 is 1.
Lets's calculate LCM of 872,327
109 | 872, 327 |
8, 3 |
∴ So the LCM of the given numbers is 109 x 8 x 3 = 2616
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2616
Therefore, the GCF of Fractions 132/872,6511/327 is 1/2616
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 872,327 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(872,327) = 109
common factors(in case of two or more numbers have common factors) = 1
GCF(872,327) x common factors =109 x 1 = 109
LCM(872,327) = ( 872 × 327 ) / 109
LCM(872,327) = 285144 / 109
LCM(872,327) = 2616
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 132/872, 6511/327?
Answer: GCF of Numerators as per given numbers 132/872, 6511/327 is
GCF of Numerators i.e. for 132,6511 is 1
LCM of denominators i.e. for 872,327 is 2616.
Thus, GCF of Fractions is 1/2616.Finally, GCF of Fractions for 132/872, 6511/327 is 1/2616.