Use our free GCF of Fractions Calculator tool to compute the GCF of 996/258, 256/797 i.e 4/205626 easily. The following is the detailed procedure to determine the greatest common factor of fractions 996/258, 256/797.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 996/258,256/797
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 996/258,256/797, numerators are 996,256
Denominators are 258,797
The GCF of 996,256 is 4 .
LCM of 258,797 is 205626.
The greatest common factor of 996/258,256/797 = [GCF of 996,256]/[LCM of 258,797]= 4/205626
Therefore, the GCF of 996/258,256/797 is 4/205626.
To find the highest common factor of 996,256, we have to find the factors of both numbers and list the highest common factor.
The factors of 996 are 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
The factors of 256 are 1, 2, 4, 8, 16, 32, 64, 128, 256
The HCF of 996,256 is 4.
Lets's calculate GCF of 996,256
2 | 996, 256 |
2 | 498, 128 |
249, 64 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Now, list down the factors of 996
:1,2,3,4,6,12,83,166,249,332,498,996
Now, list down the factors of 256
:1,2,4,8,16,32,64,128,256
Greatest Common Factor
We found the factors 996,256 . The biggest common factor number is the GCF number.
So the greatest common factor 996,256 is 4.
Lets's calculate LCM of 258,797
Given numbers has no common factors except 1. So, there LCM is their product i.e 205626
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/205626
Therefore, the GCF of Fractions 996/258,256/797 is 4/205626
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 258,797 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(258,797) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(258,797) x common factors =1 x 1 = 1
LCM(258,797) = ( 258 × 797 ) / 1
LCM(258,797) = 205626 / 1
LCM(258,797) = 205626
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 996,256?
The HCF of 996,256 is 4
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 996/258, 256/797?
Answer: GCF of Numerators as per given numbers 996/258, 256/797 is
GCF of Numerators i.e. for 996,256 is 4
LCM of denominators i.e. for 258,797 is 205626.
Thus, GCF of Fractions is 4/205626.Finally, GCF of Fractions for 996/258, 256/797 is 4/205626.