Use our free GCF of Fractions Calculator tool to compute the GCF of 746/264, 521/896 i.e 1/29568 easily. The following is the detailed procedure to determine the greatest common factor of fractions 746/264, 521/896.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 746/264,521/896
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 746/264,521/896, numerators are 746,521
Denominators are 264,896
The GCF of 746,521 is 1 .
LCM of 264,896 is 29568.
The greatest common factor of 746/264,521/896 = [GCF of 746,521]/[LCM of 264,896]= 1/29568
Therefore, the GCF of 746/264,521/896 is 1/29568.
To find the highest common factor of 746,521, we have to find the factors of both numbers and list the highest common factor.
The factors of 746 are 1, 2, 373, 746
The factors of 521 are 1, 521
The HCF of 746,521 is 1.
Lets's calculate GCF of 746,521
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 746
:1,2,373,746
Now, list down the factors of 521
:1,521
Greatest Common Factor
We found the factors 746,521 . The biggest common factor number is the GCF number.
So the greatest common factor 746,521 is 1.
Lets's calculate LCM of 264,896
2 | 264, 896 |
2 | 132, 448 |
2 | 66, 224 |
33, 112 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 33 x 112 = 29568
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/29568
Therefore, the GCF of Fractions 746/264,521/896 is 1/29568
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 264,896 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(264,896) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(264,896) x common factors =8 x 1 = 8
LCM(264,896) = ( 264 × 896 ) / 8
LCM(264,896) = 236544 / 8
LCM(264,896) = 29568
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 746,521?
The HCF of 746,521 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 746/264, 521/896?
Answer: GCF of Numerators as per given numbers 746/264, 521/896 is
GCF of Numerators i.e. for 746,521 is 1
LCM of denominators i.e. for 264,896 is 29568.
Thus, GCF of Fractions is 1/29568.Finally, GCF of Fractions for 746/264, 521/896 is 1/29568.