Use our free GCF of Fractions Calculator tool to compute the GCF of 791/656, 754/576 i.e 1/23616 easily. The following is the detailed procedure to determine the greatest common factor of fractions 791/656, 754/576.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 791/656,754/576
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 791/656,754/576, numerators are 791,754
Denominators are 656,576
The GCF of 791,754 is 1 .
LCM of 656,576 is 23616.
The greatest common factor of 791/656,754/576 = [GCF of 791,754]/[LCM of 656,576]= 1/23616
Therefore, the GCF of 791/656,754/576 is 1/23616.
To find the highest common factor of 791,754, we have to find the factors of both numbers and list the highest common factor.
The factors of 791 are 1, 7, 113, 791
The factors of 754 are 1, 2, 13, 26, 29, 58, 377, 754
The HCF of 791,754 is 1.
Lets's calculate GCF of 791,754
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 791
:1,7,113,791
Now, list down the factors of 754
:1,2,13,26,29,58,377,754
Greatest Common Factor
We found the factors 791,754 . The biggest common factor number is the GCF number.
So the greatest common factor 791,754 is 1.
Lets's calculate LCM of 656,576
2 | 656, 576 |
2 | 328, 288 |
2 | 164, 144 |
2 | 82, 72 |
41, 36 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 41 x 36 = 23616
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23616
Therefore, the GCF of Fractions 791/656,754/576 is 1/23616
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 656,576 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(656,576) = 16
common factors(in case of two or more numbers have common factors) = 1
GCF(656,576) x common factors =16 x 1 = 16
LCM(656,576) = ( 656 × 576 ) / 16
LCM(656,576) = 377856 / 16
LCM(656,576) = 23616
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 791,754?
The HCF of 791,754 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 791/656, 754/576?
Answer: GCF of Numerators as per given numbers 791/656, 754/576 is
GCF of Numerators i.e. for 791,754 is 1
LCM of denominators i.e. for 656,576 is 23616.
Thus, GCF of Fractions is 1/23616.Finally, GCF of Fractions for 791/656, 754/576 is 1/23616.