Use our free GCF of Fractions Calculator tool to compute the GCF of 728/976, 215/488 i.e 1/976 easily. The following is the detailed procedure to determine the greatest common factor of fractions 728/976, 215/488.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 728/976,215/488
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 728/976,215/488, numerators are 728,215
Denominators are 976,488
The GCF of 728,215 is 1 .
LCM of 976,488 is 976.
The greatest common factor of 728/976,215/488 = [GCF of 728,215]/[LCM of 976,488]= 1/976
Therefore, the GCF of 728/976,215/488 is 1/976.
To find the highest common factor of 728,215, we have to find the factors of both numbers and list the highest common factor.
The factors of 728 are 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
The factors of 215 are 1, 5, 43, 215
The HCF of 728,215 is 1.
Lets's calculate GCF of 728,215
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 728
:1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728
Now, list down the factors of 215
:1,5,43,215
Greatest Common Factor
We found the factors 728,215 . The biggest common factor number is the GCF number.
So the greatest common factor 728,215 is 1.
Lets's calculate LCM of 976,488
2 | 976, 488 |
2 | 488, 244 |
2 | 122, 244 |
61 | 61, 122 |
1, 2 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 61 x 1 x 2 = 976
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/976
Therefore, the GCF of Fractions 728/976,215/488 is 1/976
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 976,488 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(976,488) = 488
common factors(in case of two or more numbers have common factors) = 1
GCF(976,488) x common factors =488 x 1 = 488
LCM(976,488) = ( 976 × 488 ) / 488
LCM(976,488) = 476288 / 488
LCM(976,488) = 976
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 728,215?
The HCF of 728,215 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 728/976, 215/488?
Answer: GCF of Numerators as per given numbers 728/976, 215/488 is
GCF of Numerators i.e. for 728,215 is 1
LCM of denominators i.e. for 976,488 is 976.
Thus, GCF of Fractions is 1/976.Finally, GCF of Fractions for 728/976, 215/488 is 1/976.