Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8799/212,4703/287
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 8799,4703
Greatest Common Factor of Numerators i.e. GCF of 8799,4703 is 1 .
LCM of Denominators means LCM of 212,287 as per the given fractions.
LCM of 212,287 is 60844 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8799,4703
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8799
List of positive integer factors of 8799 that divides 8799 without a remainder.
1,3,7,21,419,1257,2933,8799
Factors of 4703
List of positive integer factors of 4703 that divides 4703 without a remainder.
1,4703
Greatest Common Factor
We found the factors 8799,4703 . The biggest common factor number is the GCF number.
So the greatest common factor 8799,4703 is 1.
Lets's calculate LCM of 212,287
Given numbers has no common factors except 1. So, there LCM is their product i.e 60844
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/60844
Therefore, the GCF of Fractions 8799/212,4703/287 is 1/60844
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 212,287 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(212,287) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(212,287) x common factors =1 x 1 = 1
LCM(212,287) = ( 212 × 287 ) / 1
LCM(212,287) = 60844 / 1
LCM(212,287) = 60844
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 8799/212, 4703/287?
Answer: GCF of Numerators as per given numbers 8799/212, 4703/287 is
GCF of Numerators i.e. for 8799,4703 is 1
LCM of denominators i.e. for 212,287 is 60844.
Thus, GCF of Fractions is 1/60844.Finally, GCF of Fractions for 8799/212, 4703/287 is 1/60844.