Use our free GCF of Fractions Calculator tool to compute the GCF of 9944/352, 8100/1586 i.e 4/279136 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9944/352, 8100/1586.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9944/352,8100/1586
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 9944/352,8100/1586, numerators are 9944,8100
Denominators are 352,1586
The GCF of 9944,8100 is 4 .
LCM of 352,1586 is 279136.
The greatest common factor of 9944/352,8100/1586 = [GCF of 9944,8100]/[LCM of 352,1586]= 4/279136
Therefore, the GCF of 9944/352,8100/1586 is 4/279136.
To find the highest common factor of 9944,8100, we have to find the factors of both numbers and list the highest common factor.
The factors of 9944 are 1, 2, 4, 8, 11, 22, 44, 88, 113, 226, 452, 904, 1243, 2486, 4972, 9944
The factors of 8100 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 27, 30, 36, 45, 50, 54, 60, 75, 81, 90, 100, 108, 135, 150, 162, 180, 225, 270, 300, 324, 405, 450, 540, 675, 810, 900, 1350, 1620, 2025, 2700, 4050, 8100
The HCF of 9944,8100 is 4.
Lets's calculate GCF of 9944,8100
2 | 9944, 8100 |
2 | 4972, 4050 |
2486, 2025 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Now, list down the factors of 9944
:1,2,4,8,11,22,44,88,113,226,452,904,1243,2486,4972,9944
Now, list down the factors of 8100
:1,2,3,4,5,6,9,10,12,15,18,20,25,27,30,36,45,50,54,60,75,81,90,100,108,135,150,162,180,225,270,300,324,405,450,540,675,810,900,1350,1620,2025,2700,4050,8100
Greatest Common Factor
We found the factors 9944,8100 . The biggest common factor number is the GCF number.
So the greatest common factor 9944,8100 is 4.
Lets's calculate LCM of 352,1586
2 | 352, 1586 |
176, 793 |
∴ So the LCM of the given numbers is 2 x 176 x 793 = 279136
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/279136
Therefore, the GCF of Fractions 9944/352,8100/1586 is 4/279136
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 352,1586 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(352,1586) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(352,1586) x common factors =2 x 1 = 2
LCM(352,1586) = ( 352 × 1586 ) / 2
LCM(352,1586) = 558272 / 2
LCM(352,1586) = 279136
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 9944,8100?
The HCF of 9944,8100 is 4
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. 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.
4. What is the GCF of Fractions for 9944/352, 8100/1586?
Answer: GCF of Numerators as per given numbers 9944/352, 8100/1586 is
GCF of Numerators i.e. for 9944,8100 is 4
LCM of denominators i.e. for 352,1586 is 279136.
Thus, GCF of Fractions is 4/279136.Finally, GCF of Fractions for 9944/352, 8100/1586 is 4/279136.