Use our free GCF of Fractions Calculator tool to compute the GCF of 9062/316, 8104/4164 i.e 2/328956 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9062/316, 8104/4164.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9062/316,8104/4164
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 9062/316,8104/4164, numerators are 9062,8104
Denominators are 316,4164
The GCF of 9062,8104 is 2 .
LCM of 316,4164 is 328956.
The greatest common factor of 9062/316,8104/4164 = [GCF of 9062,8104]/[LCM of 316,4164]= 2/328956
Therefore, the GCF of 9062/316,8104/4164 is 2/328956.
To find the highest common factor of 9062,8104, we have to find the factors of both numbers and list the highest common factor.
The factors of 9062 are 1, 2, 23, 46, 197, 394, 4531, 9062
The factors of 8104 are 1, 2, 4, 8, 1013, 2026, 4052, 8104
The HCF of 9062,8104 is 2.
Lets's calculate GCF of 9062,8104
2 | 9062, 8104 |
4531, 4052 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 9062
:1,2,23,46,197,394,4531,9062
Now, list down the factors of 8104
:1,2,4,8,1013,2026,4052,8104
Greatest Common Factor
We found the factors 9062,8104 . The biggest common factor number is the GCF number.
So the greatest common factor 9062,8104 is 2.
Lets's calculate LCM of 316,4164
2 | 316, 4164 |
2 | 158, 2082 |
79, 1041 |
∴ So the LCM of the given numbers is 2 x 2 x 79 x 1041 = 328956
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/328956
Therefore, the GCF of Fractions 9062/316,8104/4164 is 2/328956
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 316,4164 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(316,4164) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(316,4164) x common factors =4 x 1 = 4
LCM(316,4164) = ( 316 × 4164 ) / 4
LCM(316,4164) = 1315824 / 4
LCM(316,4164) = 328956
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 9062,8104?
The HCF of 9062,8104 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 9062/316, 8104/4164?
Answer: GCF of Numerators as per given numbers 9062/316, 8104/4164 is
GCF of Numerators i.e. for 9062,8104 is 2
LCM of denominators i.e. for 316,4164 is 328956.
Thus, GCF of Fractions is 2/328956.Finally, GCF of Fractions for 9062/316, 8104/4164 is 2/328956.