Use our free GCF of Fractions Calculator tool to compute the GCF of 366/722, 6148/658 i.e 2/237538 easily. The following is the detailed procedure to determine the greatest common factor of fractions 366/722, 6148/658.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 366/722,6148/658
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 366/722,6148/658, numerators are 366,6148
Denominators are 722,658
The GCF of 366,6148 is 2 .
LCM of 722,658 is 237538.
The greatest common factor of 366/722,6148/658 = [GCF of 366,6148]/[LCM of 722,658]= 2/237538
Therefore, the GCF of 366/722,6148/658 is 2/237538.
To find the highest common factor of 366,6148, we have to find the factors of both numbers and list the highest common factor.
The factors of 366 are 1, 2, 3, 6, 61, 122, 183, 366
The factors of 6148 are 1, 2, 4, 29, 53, 58, 106, 116, 212, 1537, 3074, 6148
The HCF of 366,6148 is 2.
Lets's calculate GCF of 366,6148
2 | 366, 6148 |
183, 3074 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 366
:1,2,3,6,61,122,183,366
Now, list down the factors of 6148
:1,2,4,29,53,58,106,116,212,1537,3074,6148
Greatest Common Factor
We found the factors 366,6148 . The biggest common factor number is the GCF number.
So the greatest common factor 366,6148 is 2.
Lets's calculate LCM of 722,658
2 | 722, 658 |
361, 329 |
∴ So the LCM of the given numbers is 2 x 361 x 329 = 237538
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/237538
Therefore, the GCF of Fractions 366/722,6148/658 is 2/237538
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 722,658 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(722,658) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(722,658) x common factors =2 x 1 = 2
LCM(722,658) = ( 722 × 658 ) / 2
LCM(722,658) = 475076 / 2
LCM(722,658) = 237538
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 366,6148?
The HCF of 366,6148 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 366/722, 6148/658?
Answer: GCF of Numerators as per given numbers 366/722, 6148/658 is
GCF of Numerators i.e. for 366,6148 is 2
LCM of denominators i.e. for 722,658 is 237538.
Thus, GCF of Fractions is 2/237538.Finally, GCF of Fractions for 366/722, 6148/658 is 2/237538.