Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 993/608,7211/6863
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 993,7211
Greatest Common Factor of Numerators i.e. GCF of 993,7211 is 1 .
LCM of Denominators means LCM of 608,6863 as per the given fractions.
LCM of 608,6863 is 4172704 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 993,7211
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 993
List of positive integer factors of 993 that divides 993 without a remainder.
1,3,331,993
Factors of 7211
List of positive integer factors of 7211 that divides 7211 without a remainder.
1,7211
Greatest Common Factor
We found the factors 993,7211 . The biggest common factor number is the GCF number.
So the greatest common factor 993,7211 is 1.
Lets's calculate LCM of 608,6863
Given numbers has no common factors except 1. So, there LCM is their product i.e 4172704
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4172704
Therefore, the GCF of Fractions 993/608,7211/6863 is 1/4172704
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 608,6863 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(608,6863) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(608,6863) x common factors =1 x 1 = 1
LCM(608,6863) = ( 608 × 6863 ) / 1
LCM(608,6863) = 4172704 / 1
LCM(608,6863) = 4172704
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 993/608, 7211/6863?
Answer: GCF of Numerators as per given numbers 993/608, 7211/6863 is
GCF of Numerators i.e. for 993,7211 is 1
LCM of denominators i.e. for 608,6863 is 4172704.
Thus, GCF of Fractions is 1/4172704.Finally, GCF of Fractions for 993/608, 7211/6863 is 1/4172704.