Use our free GCF of Fractions Calculator tool to compute the GCF of 9471/720, 8300/8884 i.e 1/1599120 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9471/720, 8300/8884.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9471/720,8300/8884
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 9471/720,8300/8884, numerators are 9471,8300
Denominators are 720,8884
The GCF of 9471,8300 is 1 .
LCM of 720,8884 is 1599120.
The greatest common factor of 9471/720,8300/8884 = [GCF of 9471,8300]/[LCM of 720,8884]= 1/1599120
Therefore, the GCF of 9471/720,8300/8884 is 1/1599120.
To find the highest common factor of 9471,8300, we have to find the factors of both numbers and list the highest common factor.
The factors of 9471 are 1, 3, 7, 11, 21, 33, 41, 77, 123, 231, 287, 451, 861, 1353, 3157, 9471
The factors of 8300 are 1, 2, 4, 5, 10, 20, 25, 50, 83, 100, 166, 332, 415, 830, 1660, 2075, 4150, 8300
The HCF of 9471,8300 is 1.
Lets's calculate GCF of 9471,8300
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 9471
:1,3,7,11,21,33,41,77,123,231,287,451,861,1353,3157,9471
Now, list down the factors of 8300
:1,2,4,5,10,20,25,50,83,100,166,332,415,830,1660,2075,4150,8300
Greatest Common Factor
We found the factors 9471,8300 . The biggest common factor number is the GCF number.
So the greatest common factor 9471,8300 is 1.
Lets's calculate LCM of 720,8884
2 | 720, 8884 |
2 | 360, 4442 |
180, 2221 |
∴ So the LCM of the given numbers is 2 x 2 x 180 x 2221 = 1599120
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1599120
Therefore, the GCF of Fractions 9471/720,8300/8884 is 1/1599120
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 720,8884 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(720,8884) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(720,8884) x common factors =4 x 1 = 4
LCM(720,8884) = ( 720 × 8884 ) / 4
LCM(720,8884) = 6396480 / 4
LCM(720,8884) = 1599120
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 9471,8300?
The HCF of 9471,8300 is 1
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 9471/720, 8300/8884?
Answer: GCF of Numerators as per given numbers 9471/720, 8300/8884 is
GCF of Numerators i.e. for 9471,8300 is 1
LCM of denominators i.e. for 720,8884 is 1599120.
Thus, GCF of Fractions is 1/1599120.Finally, GCF of Fractions for 9471/720, 8300/8884 is 1/1599120.