Use our free GCF of Fractions Calculator tool to compute the GCF of 8955/276, 9627/9326 i.e 3/1286988 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8955/276, 9627/9326.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8955/276,9627/9326
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 8955/276,9627/9326, numerators are 8955,9627
Denominators are 276,9326
The GCF of 8955,9627 is 3 .
LCM of 276,9326 is 1286988.
The greatest common factor of 8955/276,9627/9326 = [GCF of 8955,9627]/[LCM of 276,9326]= 3/1286988
Therefore, the GCF of 8955/276,9627/9326 is 3/1286988.
To find the highest common factor of 8955,9627, we have to find the factors of both numbers and list the highest common factor.
The factors of 8955 are 1, 3, 5, 9, 15, 45, 199, 597, 995, 1791, 2985, 8955
The factors of 9627 are 1, 3, 3209, 9627
The HCF of 8955,9627 is 3.
Lets's calculate GCF of 8955,9627
3 | 8955, 9627 |
2985, 3209 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 8955
:1,3,5,9,15,45,199,597,995,1791,2985,8955
Now, list down the factors of 9627
:1,3,3209,9627
Greatest Common Factor
We found the factors 8955,9627 . The biggest common factor number is the GCF number.
So the greatest common factor 8955,9627 is 3.
Lets's calculate LCM of 276,9326
2 | 276, 9326 |
138, 4663 |
∴ So the LCM of the given numbers is 2 x 138 x 4663 = 1286988
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1286988
Therefore, the GCF of Fractions 8955/276,9627/9326 is 3/1286988
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 276,9326 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(276,9326) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(276,9326) x common factors =2 x 1 = 2
LCM(276,9326) = ( 276 × 9326 ) / 2
LCM(276,9326) = 2573976 / 2
LCM(276,9326) = 1286988
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 8955,9627?
The HCF of 8955,9627 is 3
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 8955/276, 9627/9326?
Answer: GCF of Numerators as per given numbers 8955/276, 9627/9326 is
GCF of Numerators i.e. for 8955,9627 is 3
LCM of denominators i.e. for 276,9326 is 1286988.
Thus, GCF of Fractions is 3/1286988.Finally, GCF of Fractions for 8955/276, 9627/9326 is 3/1286988.