Use our free GCF of Fractions Calculator tool to compute the GCF of 960/681, 794/834 i.e 2/189318 easily. The following is the detailed procedure to determine the greatest common factor of fractions 960/681, 794/834.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 960/681,794/834
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 960/681,794/834, numerators are 960,794
Denominators are 681,834
The GCF of 960,794 is 2 .
LCM of 681,834 is 189318.
The greatest common factor of 960/681,794/834 = [GCF of 960,794]/[LCM of 681,834]= 2/189318
Therefore, the GCF of 960/681,794/834 is 2/189318.
To find the highest common factor of 960,794, we have to find the factors of both numbers and list the highest common factor.
The factors of 960 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
The factors of 794 are 1, 2, 397, 794
The HCF of 960,794 is 2.
Lets's calculate GCF of 960,794
2 | 960, 794 |
480, 397 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 960
:1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,160,192,240,320,480,960
Now, list down the factors of 794
:1,2,397,794
Greatest Common Factor
We found the factors 960,794 . The biggest common factor number is the GCF number.
So the greatest common factor 960,794 is 2.
Lets's calculate LCM of 681,834
3 | 681, 834 |
227, 278 |
∴ So the LCM of the given numbers is 3 x 227 x 278 = 189318
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/189318
Therefore, the GCF of Fractions 960/681,794/834 is 2/189318
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 681,834 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(681,834) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(681,834) x common factors =3 x 1 = 3
LCM(681,834) = ( 681 × 834 ) / 3
LCM(681,834) = 567954 / 3
LCM(681,834) = 189318
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 960,794?
The HCF of 960,794 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 960/681, 794/834?
Answer: GCF of Numerators as per given numbers 960/681, 794/834 is
GCF of Numerators i.e. for 960,794 is 2
LCM of denominators i.e. for 681,834 is 189318.
Thus, GCF of Fractions is 2/189318.Finally, GCF of Fractions for 960/681, 794/834 is 2/189318.