Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7181/752,8438/447
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 7181,8438
Greatest Common Factor of Numerators i.e. GCF of 7181,8438 is 1 .
LCM of Denominators means LCM of 752,447 as per the given fractions.
LCM of 752,447 is 336144 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7181,8438
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7181
List of positive integer factors of 7181 that divides 7181 without a remainder.
1,43,167,7181
Factors of 8438
List of positive integer factors of 8438 that divides 8438 without a remainder.
1,2,4219,8438
Greatest Common Factor
We found the factors 7181,8438 . The biggest common factor number is the GCF number.
So the greatest common factor 7181,8438 is 1.
Lets's calculate LCM of 752,447
Given numbers has no common factors except 1. So, there LCM is their product i.e 336144
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/336144
Therefore, the GCF of Fractions 7181/752,8438/447 is 1/336144
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 752,447 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(752,447) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(752,447) x common factors =1 x 1 = 1
LCM(752,447) = ( 752 × 447 ) / 1
LCM(752,447) = 336144 / 1
LCM(752,447) = 336144
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 7181/752, 8438/447?
Answer: GCF of Numerators as per given numbers 7181/752, 8438/447 is
GCF of Numerators i.e. for 7181,8438 is 1
LCM of denominators i.e. for 752,447 is 336144.
Thus, GCF of Fractions is 1/336144.Finally, GCF of Fractions for 7181/752, 8438/447 is 1/336144.