Use our free GCF of Fractions Calculator tool to compute the GCF of 730/486, 881/338 i.e 1/82134 easily. The following is the detailed procedure to determine the greatest common factor of fractions 730/486, 881/338.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 730/486,881/338
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 730/486,881/338, numerators are 730,881
Denominators are 486,338
The GCF of 730,881 is 1 .
LCM of 486,338 is 82134.
The greatest common factor of 730/486,881/338 = [GCF of 730,881]/[LCM of 486,338]= 1/82134
Therefore, the GCF of 730/486,881/338 is 1/82134.
To find the highest common factor of 730,881, we have to find the factors of both numbers and list the highest common factor.
The factors of 730 are 1, 2, 5, 10, 73, 146, 365, 730
The factors of 881 are 1, 881
The HCF of 730,881 is 1.
Lets's calculate GCF of 730,881
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 730
:1,2,5,10,73,146,365,730
Now, list down the factors of 881
:1,881
Greatest Common Factor
We found the factors 730,881 . The biggest common factor number is the GCF number.
So the greatest common factor 730,881 is 1.
Lets's calculate LCM of 486,338
2 | 486, 338 |
243, 169 |
∴ So the LCM of the given numbers is 2 x 243 x 169 = 82134
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/82134
Therefore, the GCF of Fractions 730/486,881/338 is 1/82134
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 486,338 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(486,338) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(486,338) x common factors =2 x 1 = 2
LCM(486,338) = ( 486 × 338 ) / 2
LCM(486,338) = 164268 / 2
LCM(486,338) = 82134
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 730,881?
The HCF of 730,881 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 730/486, 881/338?
Answer: GCF of Numerators as per given numbers 730/486, 881/338 is
GCF of Numerators i.e. for 730,881 is 1
LCM of denominators i.e. for 486,338 is 82134.
Thus, GCF of Fractions is 1/82134.Finally, GCF of Fractions for 730/486, 881/338 is 1/82134.