Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7317/91,2185/375
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 7317,2185
Greatest Common Factor of Numerators i.e. GCF of 7317,2185 is 1 .
LCM of Denominators means LCM of 91,375 as per the given fractions.
LCM of 91,375 is 34125 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7317,2185
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7317
List of positive integer factors of 7317 that divides 7317 without a remainder.
1,3,9,27,271,813,2439,7317
Factors of 2185
List of positive integer factors of 2185 that divides 2185 without a remainder.
1,5,19,23,95,115,437,2185
Greatest Common Factor
We found the factors 7317,2185 . The biggest common factor number is the GCF number.
So the greatest common factor 7317,2185 is 1.
Lets's calculate LCM of 91,375
Given numbers has no common factors except 1. So, there LCM is their product i.e 34125
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/34125
Therefore, the GCF of Fractions 7317/91,2185/375 is 1/34125
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 91,375 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(91,375) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(91,375) x common factors =1 x 1 = 1
LCM(91,375) = ( 91 × 375 ) / 1
LCM(91,375) = 34125 / 1
LCM(91,375) = 34125
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 7317/91, 2185/375?
Answer: GCF of Numerators as per given numbers 7317/91, 2185/375 is
GCF of Numerators i.e. for 7317,2185 is 1
LCM of denominators i.e. for 91,375 is 34125.
Thus, GCF of Fractions is 1/34125.Finally, GCF of Fractions for 7317/91, 2185/375 is 1/34125.