Use our free GCF of Fractions Calculator tool to compute the GCF of 305/964, 258/360 i.e 1/86760 easily. The following is the detailed procedure to determine the greatest common factor of fractions 305/964, 258/360.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 305/964,258/360
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 305/964,258/360, numerators are 305,258
Denominators are 964,360
The GCF of 305,258 is 1 .
LCM of 964,360 is 86760.
The greatest common factor of 305/964,258/360 = [GCF of 305,258]/[LCM of 964,360]= 1/86760
Therefore, the GCF of 305/964,258/360 is 1/86760.
To find the highest common factor of 305,258, we have to find the factors of both numbers and list the highest common factor.
The factors of 305 are 1, 5, 61, 305
The factors of 258 are 1, 2, 3, 6, 43, 86, 129, 258
The HCF of 305,258 is 1.
Lets's calculate GCF of 305,258
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 305
:1,5,61,305
Now, list down the factors of 258
:1,2,3,6,43,86,129,258
Greatest Common Factor
We found the factors 305,258 . The biggest common factor number is the GCF number.
So the greatest common factor 305,258 is 1.
Lets's calculate LCM of 964,360
2 | 964, 360 |
2 | 482, 180 |
241, 90 |
∴ So the LCM of the given numbers is 2 x 2 x 241 x 90 = 86760
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/86760
Therefore, the GCF of Fractions 305/964,258/360 is 1/86760
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 964,360 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(964,360) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(964,360) x common factors =4 x 1 = 4
LCM(964,360) = ( 964 × 360 ) / 4
LCM(964,360) = 347040 / 4
LCM(964,360) = 86760
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 305,258?
The HCF of 305,258 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 305/964, 258/360?
Answer: GCF of Numerators as per given numbers 305/964, 258/360 is
GCF of Numerators i.e. for 305,258 is 1
LCM of denominators i.e. for 964,360 is 86760.
Thus, GCF of Fractions is 1/86760.Finally, GCF of Fractions for 305/964, 258/360 is 1/86760.