Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 993/489,8740/7232
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 993,8740
Greatest Common Factor of Numerators i.e. GCF of 993,8740 is 1 .
LCM of Denominators means LCM of 489,7232 as per the given fractions.
LCM of 489,7232 is 3536448 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 993,8740
∴ 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 8740
List of positive integer factors of 8740 that divides 8740 without a remainder.
1,2,4,5,10,19,20,23,38,46,76,92,95,115,190,230,380,437,460,874,1748,2185,4370,8740
Greatest Common Factor
We found the factors 993,8740 . The biggest common factor number is the GCF number.
So the greatest common factor 993,8740 is 1.
Lets's calculate LCM of 489,7232
Given numbers has no common factors except 1. So, there LCM is their product i.e 3536448
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3536448
Therefore, the GCF of Fractions 993/489,8740/7232 is 1/3536448
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 489,7232 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(489,7232) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(489,7232) x common factors =1 x 1 = 1
LCM(489,7232) = ( 489 × 7232 ) / 1
LCM(489,7232) = 3536448 / 1
LCM(489,7232) = 3536448
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 993/489, 8740/7232?
Answer: GCF of Numerators as per given numbers 993/489, 8740/7232 is
GCF of Numerators i.e. for 993,8740 is 1
LCM of denominators i.e. for 489,7232 is 3536448.
Thus, GCF of Fractions is 1/3536448.Finally, GCF of Fractions for 993/489, 8740/7232 is 1/3536448.