Use our free GCF of Fractions Calculator tool to compute the GCF of 329/867, 730/960 i.e 1/277440 easily. The following is the detailed procedure to determine the greatest common factor of fractions 329/867, 730/960.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 329/867,730/960
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 329/867,730/960, numerators are 329,730
Denominators are 867,960
The GCF of 329,730 is 1 .
LCM of 867,960 is 277440.
The greatest common factor of 329/867,730/960 = [GCF of 329,730]/[LCM of 867,960]= 1/277440
Therefore, the GCF of 329/867,730/960 is 1/277440.
To find the highest common factor of 329,730, we have to find the factors of both numbers and list the highest common factor.
The factors of 329 are 1, 7, 47, 329
The factors of 730 are 1, 2, 5, 10, 73, 146, 365, 730
The HCF of 329,730 is 1.
Lets's calculate GCF of 329,730
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 329
:1,7,47,329
Now, list down the factors of 730
:1,2,5,10,73,146,365,730
Greatest Common Factor
We found the factors 329,730 . The biggest common factor number is the GCF number.
So the greatest common factor 329,730 is 1.
Lets's calculate LCM of 867,960
3 | 867, 960 |
289, 320 |
∴ So the LCM of the given numbers is 3 x 289 x 320 = 277440
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/277440
Therefore, the GCF of Fractions 329/867,730/960 is 1/277440
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 867,960 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(867,960) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(867,960) x common factors =3 x 1 = 3
LCM(867,960) = ( 867 × 960 ) / 3
LCM(867,960) = 832320 / 3
LCM(867,960) = 277440
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 329,730?
The HCF of 329,730 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 329/867, 730/960?
Answer: GCF of Numerators as per given numbers 329/867, 730/960 is
GCF of Numerators i.e. for 329,730 is 1
LCM of denominators i.e. for 867,960 is 277440.
Thus, GCF of Fractions is 1/277440.Finally, GCF of Fractions for 329/867, 730/960 is 1/277440.