Use our free GCF of Fractions Calculator tool to compute the GCF of 268/398, 259/318 i.e 1/63282 easily. The following is the detailed procedure to determine the greatest common factor of fractions 268/398, 259/318.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 268/398,259/318
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 268/398,259/318, numerators are 268,259
Denominators are 398,318
The GCF of 268,259 is 1 .
LCM of 398,318 is 63282.
The greatest common factor of 268/398,259/318 = [GCF of 268,259]/[LCM of 398,318]= 1/63282
Therefore, the GCF of 268/398,259/318 is 1/63282.
To find the highest common factor of 268,259, we have to find the factors of both numbers and list the highest common factor.
The factors of 268 are 1, 2, 4, 67, 134, 268
The factors of 259 are 1, 7, 37, 259
The HCF of 268,259 is 1.
Lets's calculate GCF of 268,259
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 268
:1,2,4,67,134,268
Now, list down the factors of 259
:1,7,37,259
Greatest Common Factor
We found the factors 268,259 . The biggest common factor number is the GCF number.
So the greatest common factor 268,259 is 1.
Lets's calculate LCM of 398,318
2 | 398, 318 |
199, 159 |
∴ So the LCM of the given numbers is 2 x 199 x 159 = 63282
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/63282
Therefore, the GCF of Fractions 268/398,259/318 is 1/63282
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 398,318 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(398,318) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(398,318) x common factors =2 x 1 = 2
LCM(398,318) = ( 398 × 318 ) / 2
LCM(398,318) = 126564 / 2
LCM(398,318) = 63282
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 268,259?
The HCF of 268,259 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 268/398, 259/318?
Answer: GCF of Numerators as per given numbers 268/398, 259/318 is
GCF of Numerators i.e. for 268,259 is 1
LCM of denominators i.e. for 398,318 is 63282.
Thus, GCF of Fractions is 1/63282.Finally, GCF of Fractions for 268/398, 259/318 is 1/63282.