Use our free GCF of Fractions Calculator tool to compute the GCF of 728/215, 794/754 i.e 2/162110 easily. The following is the detailed procedure to determine the greatest common factor of fractions 728/215, 794/754.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 728/215,794/754
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 728/215,794/754, numerators are 728,794
Denominators are 215,754
The GCF of 728,794 is 2 .
LCM of 215,754 is 162110.
The greatest common factor of 728/215,794/754 = [GCF of 728,794]/[LCM of 215,754]= 2/162110
Therefore, the GCF of 728/215,794/754 is 2/162110.
To find the highest common factor of 728,794, 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 794 are 1, 2, 397, 794
The HCF of 728,794 is 2.
Lets's calculate GCF of 728,794
2 | 728, 794 |
364, 397 |
∴ So the GCF of the given numbers is 2 = 2
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 794
:1,2,397,794
Greatest Common Factor
We found the factors 728,794 . The biggest common factor number is the GCF number.
So the greatest common factor 728,794 is 2.
Lets's calculate LCM of 215,754
Given numbers has no common factors except 1. So, there LCM is their product i.e 162110
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/162110
Therefore, the GCF of Fractions 728/215,794/754 is 2/162110
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 215,754 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(215,754) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(215,754) x common factors =1 x 1 = 1
LCM(215,754) = ( 215 × 754 ) / 1
LCM(215,754) = 162110 / 1
LCM(215,754) = 162110
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 728,794?
The HCF of 728,794 is 2
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 728/215, 794/754?
Answer: GCF of Numerators as per given numbers 728/215, 794/754 is
GCF of Numerators i.e. for 728,794 is 2
LCM of denominators i.e. for 215,754 is 162110.
Thus, GCF of Fractions is 2/162110.Finally, GCF of Fractions for 728/215, 794/754 is 2/162110.