Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8951/738,4165/199
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 8951,4165
Greatest Common Factor of Numerators i.e. GCF of 8951,4165 is 1 .
LCM of Denominators means LCM of 738,199 as per the given fractions.
LCM of 738,199 is 146862 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8951,4165
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8951
List of positive integer factors of 8951 that divides 8951 without a remainder.
1,8951
Factors of 4165
List of positive integer factors of 4165 that divides 4165 without a remainder.
1,5,7,17,35,49,85,119,245,595,833,4165
Greatest Common Factor
We found the factors 8951,4165 . The biggest common factor number is the GCF number.
So the greatest common factor 8951,4165 is 1.
Lets's calculate LCM of 738,199
Given numbers has no common factors except 1. So, there LCM is their product i.e 146862
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/146862
Therefore, the GCF of Fractions 8951/738,4165/199 is 1/146862
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 738,199 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(738,199) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(738,199) x common factors =1 x 1 = 1
LCM(738,199) = ( 738 × 199 ) / 1
LCM(738,199) = 146862 / 1
LCM(738,199) = 146862
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 8951/738, 4165/199?
Answer: GCF of Numerators as per given numbers 8951/738, 4165/199 is
GCF of Numerators i.e. for 8951,4165 is 1
LCM of denominators i.e. for 738,199 is 146862.
Thus, GCF of Fractions is 1/146862.Finally, GCF of Fractions for 8951/738, 4165/199 is 1/146862.