Use our free GCF of Fractions Calculator tool to compute the GCF of 796/144, 774/317 i.e 2/45648 easily. The following is the detailed procedure to determine the greatest common factor of fractions 796/144, 774/317.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 796/144,774/317
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 796/144,774/317, numerators are 796,774
Denominators are 144,317
The GCF of 796,774 is 2 .
LCM of 144,317 is 45648.
The greatest common factor of 796/144,774/317 = [GCF of 796,774]/[LCM of 144,317]= 2/45648
Therefore, the GCF of 796/144,774/317 is 2/45648.
To find the highest common factor of 796,774, we have to find the factors of both numbers and list the highest common factor.
The factors of 796 are 1, 2, 4, 199, 398, 796
The factors of 774 are 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
The HCF of 796,774 is 2.
Lets's calculate GCF of 796,774
2 | 796, 774 |
398, 387 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 796
:1,2,4,199,398,796
Now, list down the factors of 774
:1,2,3,6,9,18,43,86,129,258,387,774
Greatest Common Factor
We found the factors 796,774 . The biggest common factor number is the GCF number.
So the greatest common factor 796,774 is 2.
Lets's calculate LCM of 144,317
Given numbers has no common factors except 1. So, there LCM is their product i.e 45648
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/45648
Therefore, the GCF of Fractions 796/144,774/317 is 2/45648
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 144,317 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(144,317) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(144,317) x common factors =1 x 1 = 1
LCM(144,317) = ( 144 × 317 ) / 1
LCM(144,317) = 45648 / 1
LCM(144,317) = 45648
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 796,774?
The HCF of 796,774 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 796/144, 774/317?
Answer: GCF of Numerators as per given numbers 796/144, 774/317 is
GCF of Numerators i.e. for 796,774 is 2
LCM of denominators i.e. for 144,317 is 45648.
Thus, GCF of Fractions is 2/45648.Finally, GCF of Fractions for 796/144, 774/317 is 2/45648.