Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1247/996,8441/3701
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 1247,8441
Greatest Common Factor of Numerators i.e. GCF of 1247,8441 is 1 .
LCM of Denominators means LCM of 996,3701 as per the given fractions.
LCM of 996,3701 is 3686196 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1247,8441
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1247
List of positive integer factors of 1247 that divides 1247 without a remainder.
1,29,43,1247
Factors of 8441
List of positive integer factors of 8441 that divides 8441 without a remainder.
1,23,367,8441
Greatest Common Factor
We found the factors 1247,8441 . The biggest common factor number is the GCF number.
So the greatest common factor 1247,8441 is 1.
Lets's calculate LCM of 996,3701
Given numbers has no common factors except 1. So, there LCM is their product i.e 3686196
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3686196
Therefore, the GCF of Fractions 1247/996,8441/3701 is 1/3686196
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 996,3701 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(996,3701) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(996,3701) x common factors =1 x 1 = 1
LCM(996,3701) = ( 996 × 3701 ) / 1
LCM(996,3701) = 3686196 / 1
LCM(996,3701) = 3686196
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 1247/996, 8441/3701?
Answer: GCF of Numerators as per given numbers 1247/996, 8441/3701 is
GCF of Numerators i.e. for 1247,8441 is 1
LCM of denominators i.e. for 996,3701 is 3686196.
Thus, GCF of Fractions is 1/3686196.Finally, GCF of Fractions for 1247/996, 8441/3701 is 1/3686196.