Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9109/453,4803/987
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 9109,4803
Greatest Common Factor of Numerators i.e. GCF of 9109,4803 is 1 .
LCM of Denominators means LCM of 453,987 as per the given fractions.
LCM of 453,987 is 149037 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9109,4803
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9109
List of positive integer factors of 9109 that divides 9109 without a remainder.
1,9109
Factors of 4803
List of positive integer factors of 4803 that divides 4803 without a remainder.
1,3,1601,4803
Greatest Common Factor
We found the factors 9109,4803 . The biggest common factor number is the GCF number.
So the greatest common factor 9109,4803 is 1.
Lets's calculate LCM of 453,987
3 | 453, 987 |
151, 329 |
∴ So the LCM of the given numbers is 3 x 151 x 329 = 149037
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/149037
Therefore, the GCF of Fractions 9109/453,4803/987 is 1/149037
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 453,987 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(453,987) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(453,987) x common factors =3 x 1 = 3
LCM(453,987) = ( 453 × 987 ) / 3
LCM(453,987) = 447111 / 3
LCM(453,987) = 149037
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 9109/453, 4803/987?
Answer: GCF of Numerators as per given numbers 9109/453, 4803/987 is
GCF of Numerators i.e. for 9109,4803 is 1
LCM of denominators i.e. for 453,987 is 149037.
Thus, GCF of Fractions is 1/149037.Finally, GCF of Fractions for 9109/453, 4803/987 is 1/149037.