Use our free GCF of Fractions Calculator tool to compute the GCF of 14/90, 806/88, 560/289 i.e 2/1144440 easily. The following is the detailed procedure to determine the greatest common factor of fractions 14/90, 806/88, 560/289.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 14/90,806/88,560/289
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 14/90,806/88,560/289, numerators are 14,806,560
Denominators are 90,88,289
The GCF of 14,806,560 is 2 .
LCM of 90,88,289 is 1144440.
The greatest common factor of 14/90,806/88,560/289 = [GCF of 14,806,560]/[LCM of 90,88,289]= 2/1144440
Therefore, the GCF of 14/90,806/88,560/289 is 2/1144440.
To find the highest common factor of 14,806,560, we have to find the factors of both numbers and list the highest common factor.
The factors of 14 are 1, 2, 7, 14
The factors of 806 are 1, 2, 13, 26, 31, 62, 403, 806
The factors of 560 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
The HCF of 14,806,560 is 2.
Lets's calculate GCF of 14,806,560
2 | 14, 806, 560 |
7, 403, 280 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 14
:1,2,7,14
Now, list down the factors of 806
:1,2,13,26,31,62,403,806
Now, list down the factors of 560
:1,2,4,5,7,8,10,14,16,20,28,35,40,56,70,80,112,140,280,560
Greatest Common Factor
We found the factors 14,806,560 . The biggest common factor number is the GCF number.
So the greatest common factor 14,806,560 is 2.
Lets's calculate LCM of 90,88,289
2 | 90, 88, 289 |
45, 44, 289 |
∴ So the LCM of the given numbers is 2 x 45 x 44 x 289 = 1144440
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1144440
Therefore, the GCF of Fractions 14/90,806/88,560/289 is 2/1144440
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 90,88,289 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(90,88,289) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(90,88,289) x common factors =1 x 2 = 2
LCM(90,88,289) = ( 90 × 88 × 289 ) / 2
LCM(90,88,289) = 2288880 / 2
LCM(90,88,289) = 1144440
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 14,806,560?
The HCF of 14,806,560 is 2
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 14/90, 806/88, 560/289?
Answer: GCF of Numerators as per given numbers 14/90, 806/88, 560/289 is
GCF of Numerators i.e. for 14,806,560 is 2
LCM of denominators i.e. for 90,88,289 is 1144440.
Thus, GCF of Fractions is 2/1144440.Finally, GCF of Fractions for 14/90, 806/88, 560/289 is 2/1144440.