Use our free GCF of Fractions Calculator tool to compute the GCF of 46/722, 59/1308 i.e 1/472188 easily. The following is the detailed procedure to determine the greatest common factor of fractions 46/722, 59/1308.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 46/722,59/1308
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 46/722,59/1308, numerators are 46,59
Denominators are 722,1308
The GCF of 46,59 is 1 .
LCM of 722,1308 is 472188.
The greatest common factor of 46/722,59/1308 = [GCF of 46,59]/[LCM of 722,1308]= 1/472188
Therefore, the GCF of 46/722,59/1308 is 1/472188.
To find the highest common factor of 46,59, we have to find the factors of both numbers and list the highest common factor.
The factors of 46 are 1, 2, 23, 46
The factors of 59 are 1, 59
The HCF of 46,59 is 1.
Lets's calculate GCF of 46,59
∴ So GCF of numbers is 1 because of no common factors present between them.
Lets's calculate LCM of 722,1308
2 | 722, 1308 |
361, 654 |
∴ So the LCM of the given numbers is 2 x 361 x 654 = 472188
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/472188
Therefore, the GCF of Fractions 46/722,59/1308 is 1/472188
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 722,1308 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(722,1308) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(722,1308) x common factors =2 x 1 = 2
LCM(722,1308) = ( 722 × 1308 ) / 2
LCM(722,1308) = 944376 / 2
LCM(722,1308) = 472188
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 46,59?
The HCF of 46,59 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 46/722, 59/1308?
Answer: GCF of Numerators as per given numbers 46/722, 59/1308 is
GCF of Numerators i.e. for 46,59 is 1
LCM of denominators i.e. for 722,1308 is 472188.
Thus, GCF of Fractions is 1/472188.Finally, GCF of Fractions for 46/722, 59/1308 is 1/472188.