Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9986/295,7428/804
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 9986,7428
Greatest Common Factor of Numerators i.e. GCF of 9986,7428 is 2 .
LCM of Denominators means LCM of 295,804 as per the given fractions.
LCM of 295,804 is 237180 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9986,7428
2 | 9986, 7428 |
4993, 3714 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 9986
List of positive integer factors of 9986 that divides 9986 without a remainder.
1,2,4993,9986
Factors of 7428
List of positive integer factors of 7428 that divides 7428 without a remainder.
1,2,3,4,6,12,619,1238,1857,2476,3714,7428
Greatest Common Factor
We found the factors 9986,7428 . The biggest common factor number is the GCF number.
So the greatest common factor 9986,7428 is 2.
Lets's calculate LCM of 295,804
Given numbers has no common factors except 1. So, there LCM is their product i.e 237180
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/237180
Therefore, the GCF of Fractions 9986/295,7428/804 is 2/237180
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 295,804 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(295,804) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(295,804) x common factors =1 x 1 = 1
LCM(295,804) = ( 295 × 804 ) / 1
LCM(295,804) = 237180 / 1
LCM(295,804) = 237180
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 9986/295, 7428/804?
Answer: GCF of Numerators as per given numbers 9986/295, 7428/804 is
GCF of Numerators i.e. for 9986,7428 is 2
LCM of denominators i.e. for 295,804 is 237180.
Thus, GCF of Fractions is 2/237180.Finally, GCF of Fractions for 9986/295, 7428/804 is 2/237180.