Use our free GCF of Fractions Calculator tool to compute the GCF of 5964/229, 8660/1298 i.e 4/297242 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5964/229, 8660/1298.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5964/229,8660/1298
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 5964/229,8660/1298, numerators are 5964,8660
Denominators are 229,1298
The GCF of 5964,8660 is 4 .
LCM of 229,1298 is 297242.
The greatest common factor of 5964/229,8660/1298 = [GCF of 5964,8660]/[LCM of 229,1298]= 4/297242
Therefore, the GCF of 5964/229,8660/1298 is 4/297242.
To find the highest common factor of 5964,8660, we have to find the factors of both numbers and list the highest common factor.
The factors of 5964 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 71, 84, 142, 213, 284, 426, 497, 852, 994, 1491, 1988, 2982, 5964
The factors of 8660 are 1, 2, 4, 5, 10, 20, 433, 866, 1732, 2165, 4330, 8660
The HCF of 5964,8660 is 4.
Lets's calculate GCF of 5964,8660
2 | 5964, 8660 |
2 | 2982, 4330 |
1491, 2165 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Now, list down the factors of 5964
:1,2,3,4,6,7,12,14,21,28,42,71,84,142,213,284,426,497,852,994,1491,1988,2982,5964
Now, list down the factors of 8660
:1,2,4,5,10,20,433,866,1732,2165,4330,8660
Greatest Common Factor
We found the factors 5964,8660 . The biggest common factor number is the GCF number.
So the greatest common factor 5964,8660 is 4.
Lets's calculate LCM of 229,1298
Given numbers has no common factors except 1. So, there LCM is their product i.e 297242
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/297242
Therefore, the GCF of Fractions 5964/229,8660/1298 is 4/297242
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 229,1298 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(229,1298) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(229,1298) x common factors =1 x 1 = 1
LCM(229,1298) = ( 229 × 1298 ) / 1
LCM(229,1298) = 297242 / 1
LCM(229,1298) = 297242
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 5964,8660?
The HCF of 5964,8660 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 5964/229, 8660/1298?
Answer: GCF of Numerators as per given numbers 5964/229, 8660/1298 is
GCF of Numerators i.e. for 5964,8660 is 4
LCM of denominators i.e. for 229,1298 is 297242.
Thus, GCF of Fractions is 4/297242.Finally, GCF of Fractions for 5964/229, 8660/1298 is 4/297242.