Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 451/130,4132/594
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 451,4132
Greatest Common Factor of Numerators i.e. GCF of 451,4132 is 1 .
LCM of Denominators means LCM of 130,594 as per the given fractions.
LCM of 130,594 is 38610 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 451,4132
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 451
List of positive integer factors of 451 that divides 451 without a remainder.
1,11,41,451
Factors of 4132
List of positive integer factors of 4132 that divides 4132 without a remainder.
1,2,4,1033,2066,4132
Greatest Common Factor
We found the factors 451,4132 . The biggest common factor number is the GCF number.
So the greatest common factor 451,4132 is 1.
Lets's calculate LCM of 130,594
2 | 130, 594 |
65, 297 |
∴ So the LCM of the given numbers is 2 x 65 x 297 = 38610
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/38610
Therefore, the GCF of Fractions 451/130,4132/594 is 1/38610
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 130,594 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(130,594) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(130,594) x common factors =2 x 1 = 2
LCM(130,594) = ( 130 × 594 ) / 2
LCM(130,594) = 77220 / 2
LCM(130,594) = 38610
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 451/130, 4132/594?
Answer: GCF of Numerators as per given numbers 451/130, 4132/594 is
GCF of Numerators i.e. for 451,4132 is 1
LCM of denominators i.e. for 130,594 is 38610.
Thus, GCF of Fractions is 1/38610.Finally, GCF of Fractions for 451/130, 4132/594 is 1/38610.