Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 300/549,9354/591
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 300,9354
Greatest Common Factor of Numerators i.e. GCF of 300,9354 is 6 .
LCM of Denominators means LCM of 549,591 as per the given fractions.
LCM of 549,591 is 108153 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 300,9354
2 | 300, 9354 |
3 | 150, 4677 |
50, 1559 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Factors of 300
List of positive integer factors of 300 that divides 300 without a remainder.
1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300
Factors of 9354
List of positive integer factors of 9354 that divides 9354 without a remainder.
1,2,3,6,1559,3118,4677,9354
Greatest Common Factor
We found the factors 300,9354 . The biggest common factor number is the GCF number.
So the greatest common factor 300,9354 is 6.
Lets's calculate LCM of 549,591
3 | 549, 591 |
183, 197 |
∴ So the LCM of the given numbers is 3 x 183 x 197 = 108153
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/108153
Therefore, the GCF of Fractions 300/549,9354/591 is 6/108153
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 549,591 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(549,591) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(549,591) x common factors =3 x 1 = 3
LCM(549,591) = ( 549 × 591 ) / 3
LCM(549,591) = 324459 / 3
LCM(549,591) = 108153
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 300/549, 9354/591?
Answer: GCF of Numerators as per given numbers 300/549, 9354/591 is
GCF of Numerators i.e. for 300,9354 is 6
LCM of denominators i.e. for 549,591 is 108153.
Thus, GCF of Fractions is 6/108153.Finally, GCF of Fractions for 300/549, 9354/591 is 6/108153.