Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9356/741,1908/330
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 9356,1908
Greatest Common Factor of Numerators i.e. GCF of 9356,1908 is 4 .
LCM of Denominators means LCM of 741,330 as per the given fractions.
LCM of 741,330 is 81510 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9356,1908
2 | 9356, 1908 |
2 | 4678, 954 |
2339, 477 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 9356
List of positive integer factors of 9356 that divides 9356 without a remainder.
1,2,4,2339,4678,9356
Factors of 1908
List of positive integer factors of 1908 that divides 1908 without a remainder.
1,2,3,4,6,9,12,18,36,53,106,159,212,318,477,636,954,1908
Greatest Common Factor
We found the factors 9356,1908 . The biggest common factor number is the GCF number.
So the greatest common factor 9356,1908 is 4.
Lets's calculate LCM of 741,330
3 | 741, 330 |
247, 110 |
∴ So the LCM of the given numbers is 3 x 247 x 110 = 81510
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/81510
Therefore, the GCF of Fractions 9356/741,1908/330 is 4/81510
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 741,330 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(741,330) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(741,330) x common factors =3 x 1 = 3
LCM(741,330) = ( 741 × 330 ) / 3
LCM(741,330) = 244530 / 3
LCM(741,330) = 81510
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 9356/741, 1908/330?
Answer: GCF of Numerators as per given numbers 9356/741, 1908/330 is
GCF of Numerators i.e. for 9356,1908 is 4
LCM of denominators i.e. for 741,330 is 81510.
Thus, GCF of Fractions is 4/81510.Finally, GCF of Fractions for 9356/741, 1908/330 is 4/81510.