Use our free GCF of Fractions Calculator tool to compute the GCF of 46/494, 23/317 i.e 23/156598 easily. The following is the detailed procedure to determine the greatest common factor of fractions 46/494, 23/317.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 46/494,23/317
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 46/494,23/317, numerators are 46,23
Denominators are 494,317
The GCF of 46,23 is 23 .
LCM of 494,317 is 156598.
The greatest common factor of 46/494,23/317 = [GCF of 46,23]/[LCM of 494,317]= 23/156598
Therefore, the GCF of 46/494,23/317 is 23/156598.
To find the highest common factor of 46,23, 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 23 are 1, 23
The HCF of 46,23 is 23.
Lets's calculate GCF of 46,23
23 | 46, 23 |
2, 1 |
∴ So the GCF of the given numbers is 23 = 23
Lets's calculate LCM of 494,317
Given numbers has no common factors except 1. So, there LCM is their product i.e 156598
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/156598
Therefore, the GCF of Fractions 46/494,23/317 is 23/156598
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 494,317 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(494,317) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(494,317) x common factors =1 x 1 = 1
LCM(494,317) = ( 494 × 317 ) / 1
LCM(494,317) = 156598 / 1
LCM(494,317) = 156598
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 46,23?
The HCF of 46,23 is 23
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 46/494, 23/317?
Answer: GCF of Numerators as per given numbers 46/494, 23/317 is
GCF of Numerators i.e. for 46,23 is 23
LCM of denominators i.e. for 494,317 is 156598.
Thus, GCF of Fractions is 23/156598.Finally, GCF of Fractions for 46/494, 23/317 is 23/156598.