Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5591/90,3845/375
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 5591,3845
Greatest Common Factor of Numerators i.e. GCF of 5591,3845 is 1 .
LCM of Denominators means LCM of 90,375 as per the given fractions.
LCM of 90,375 is 2250 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5591,3845
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5591
List of positive integer factors of 5591 that divides 5591 without a remainder.
1,5591
Factors of 3845
List of positive integer factors of 3845 that divides 3845 without a remainder.
1,5,769,3845
Greatest Common Factor
We found the factors 5591,3845 . The biggest common factor number is the GCF number.
So the greatest common factor 5591,3845 is 1.
Lets's calculate LCM of 90,375
3 | 90, 375 |
5 | 30, 125 |
6, 25 |
∴ So the LCM of the given numbers is 3 x 5 x 6 x 25 = 2250
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2250
Therefore, the GCF of Fractions 5591/90,3845/375 is 1/2250
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 90,375 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(90,375) = 15
common factors(in case of two or more numbers have common factors) = 1
GCF(90,375) x common factors =15 x 1 = 15
LCM(90,375) = ( 90 × 375 ) / 15
LCM(90,375) = 33750 / 15
LCM(90,375) = 2250
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 5591/90, 3845/375?
Answer: GCF of Numerators as per given numbers 5591/90, 3845/375 is
GCF of Numerators i.e. for 5591,3845 is 1
LCM of denominators i.e. for 90,375 is 2250.
Thus, GCF of Fractions is 1/2250.Finally, GCF of Fractions for 5591/90, 3845/375 is 1/2250.