Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 986/29,990/8874
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 986,990
Greatest Common Factor of Numerators i.e. GCF of 986,990 is 2 .
LCM of Denominators means LCM of 29,8874 as per the given fractions.
LCM of 29,8874 is 8874 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 986,990
2 | 986, 990 |
493, 495 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 986
List of positive integer factors of 986 that divides 986 without a remainder.
1,2,17,29,34,58,493,986
Factors of 990
List of positive integer factors of 990 that divides 990 without a remainder.
1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,165,198,330,495,990
Greatest Common Factor
We found the factors 986,990 . The biggest common factor number is the GCF number.
So the greatest common factor 986,990 is 2.
Lets's calculate LCM of 29,8874
29 | 29, 8874 |
1, 306 |
∴ So the LCM of the given numbers is 29 x 1 x 306 = 8874
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/8874
Therefore, the GCF of Fractions 986/29,990/8874 is 2/8874
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 29,8874 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(29,8874) = 29
common factors(in case of two or more numbers have common factors) = 1
GCF(29,8874) x common factors =29 x 1 = 29
LCM(29,8874) = ( 29 × 8874 ) / 29
LCM(29,8874) = 257346 / 29
LCM(29,8874) = 8874
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 986/29, 990/8874?
Answer: GCF of Numerators as per given numbers 986/29, 990/8874 is
GCF of Numerators i.e. for 986,990 is 2
LCM of denominators i.e. for 29,8874 is 8874.
Thus, GCF of Fractions is 2/8874.Finally, GCF of Fractions for 986/29, 990/8874 is 2/8874.