Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 132/906,9517/2409
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 132,9517
Greatest Common Factor of Numerators i.e. GCF of 132,9517 is 1 .
LCM of Denominators means LCM of 906,2409 as per the given fractions.
LCM of 906,2409 is 727518 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 132,9517
∴ 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 9517
List of positive integer factors of 9517 that divides 9517 without a remainder.
1,31,307,9517
Greatest Common Factor
We found the factors 132,9517 . The biggest common factor number is the GCF number.
So the greatest common factor 132,9517 is 1.
Lets's calculate LCM of 906,2409
3 | 906, 2409 |
302, 803 |
∴ So the LCM of the given numbers is 3 x 302 x 803 = 727518
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/727518
Therefore, the GCF of Fractions 132/906,9517/2409 is 1/727518
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 906,2409 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(906,2409) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(906,2409) x common factors =3 x 1 = 3
LCM(906,2409) = ( 906 × 2409 ) / 3
LCM(906,2409) = 2182554 / 3
LCM(906,2409) = 727518
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 132/906, 9517/2409?
Answer: GCF of Numerators as per given numbers 132/906, 9517/2409 is
GCF of Numerators i.e. for 132,9517 is 1
LCM of denominators i.e. for 906,2409 is 727518.
Thus, GCF of Fractions is 1/727518.Finally, GCF of Fractions for 132/906, 9517/2409 is 1/727518.