Use our free GCF of Fractions Calculator tool to compute the GCF of 145/590, 344/305 i.e 1/35990 easily. The following is the detailed procedure to determine the greatest common factor of fractions 145/590, 344/305.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 145/590,344/305
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 145/590,344/305, numerators are 145,344
Denominators are 590,305
The GCF of 145,344 is 1 .
LCM of 590,305 is 35990.
The greatest common factor of 145/590,344/305 = [GCF of 145,344]/[LCM of 590,305]= 1/35990
Therefore, the GCF of 145/590,344/305 is 1/35990.
To find the highest common factor of 145,344, we have to find the factors of both numbers and list the highest common factor.
The factors of 145 are 1, 5, 29, 145
The factors of 344 are 1, 2, 4, 8, 43, 86, 172, 344
The HCF of 145,344 is 1.
Lets's calculate GCF of 145,344
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 145
:1,5,29,145
Now, list down the factors of 344
:1,2,4,8,43,86,172,344
Greatest Common Factor
We found the factors 145,344 . The biggest common factor number is the GCF number.
So the greatest common factor 145,344 is 1.
Lets's calculate LCM of 590,305
5 | 590, 305 |
118, 61 |
∴ So the LCM of the given numbers is 5 x 118 x 61 = 35990
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/35990
Therefore, the GCF of Fractions 145/590,344/305 is 1/35990
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 590,305 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(590,305) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(590,305) x common factors =5 x 1 = 5
LCM(590,305) = ( 590 × 305 ) / 5
LCM(590,305) = 179950 / 5
LCM(590,305) = 35990
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 145,344?
The HCF of 145,344 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 145/590, 344/305?
Answer: GCF of Numerators as per given numbers 145/590, 344/305 is
GCF of Numerators i.e. for 145,344 is 1
LCM of denominators i.e. for 590,305 is 35990.
Thus, GCF of Fractions is 1/35990.Finally, GCF of Fractions for 145/590, 344/305 is 1/35990.