Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7451/763,9187/1908
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 7451,9187
Greatest Common Factor of Numerators i.e. GCF of 7451,9187 is 1 .
LCM of Denominators means LCM of 763,1908 as per the given fractions.
LCM of 763,1908 is 1455804 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7451,9187
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7451
List of positive integer factors of 7451 that divides 7451 without a remainder.
1,7451
Factors of 9187
List of positive integer factors of 9187 that divides 9187 without a remainder.
1,9187
Greatest Common Factor
We found the factors 7451,9187 . The biggest common factor number is the GCF number.
So the greatest common factor 7451,9187 is 1.
Lets's calculate LCM of 763,1908
Given numbers has no common factors except 1. So, there LCM is their product i.e 1455804
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1455804
Therefore, the GCF of Fractions 7451/763,9187/1908 is 1/1455804
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 763,1908 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(763,1908) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(763,1908) x common factors =1 x 1 = 1
LCM(763,1908) = ( 763 × 1908 ) / 1
LCM(763,1908) = 1455804 / 1
LCM(763,1908) = 1455804
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 7451/763, 9187/1908?
Answer: GCF of Numerators as per given numbers 7451/763, 9187/1908 is
GCF of Numerators i.e. for 7451,9187 is 1
LCM of denominators i.e. for 763,1908 is 1455804.
Thus, GCF of Fractions is 1/1455804.Finally, GCF of Fractions for 7451/763, 9187/1908 is 1/1455804.