Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7165/335,7393/197
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 7165,7393
Greatest Common Factor of Numerators i.e. GCF of 7165,7393 is 1 .
LCM of Denominators means LCM of 335,197 as per the given fractions.
LCM of 335,197 is 65995 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7165,7393
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7165
List of positive integer factors of 7165 that divides 7165 without a remainder.
1,5,1433,7165
Factors of 7393
List of positive integer factors of 7393 that divides 7393 without a remainder.
1,7393
Greatest Common Factor
We found the factors 7165,7393 . The biggest common factor number is the GCF number.
So the greatest common factor 7165,7393 is 1.
Lets's calculate LCM of 335,197
Given numbers has no common factors except 1. So, there LCM is their product i.e 65995
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/65995
Therefore, the GCF of Fractions 7165/335,7393/197 is 1/65995
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 335,197 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(335,197) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(335,197) x common factors =1 x 1 = 1
LCM(335,197) = ( 335 × 197 ) / 1
LCM(335,197) = 65995 / 1
LCM(335,197) = 65995
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 7165/335, 7393/197?
Answer: GCF of Numerators as per given numbers 7165/335, 7393/197 is
GCF of Numerators i.e. for 7165,7393 is 1
LCM of denominators i.e. for 335,197 is 65995.
Thus, GCF of Fractions is 1/65995.Finally, GCF of Fractions for 7165/335, 7393/197 is 1/65995.