Use our free GCF of Fractions Calculator tool to compute the GCF of 796/605, 744/943 i.e 4/570515 easily. The following is the detailed procedure to determine the greatest common factor of fractions 796/605, 744/943.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 796/605,744/943
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 796/605,744/943, numerators are 796,744
Denominators are 605,943
The GCF of 796,744 is 4 .
LCM of 605,943 is 570515.
The greatest common factor of 796/605,744/943 = [GCF of 796,744]/[LCM of 605,943]= 4/570515
Therefore, the GCF of 796/605,744/943 is 4/570515.
To find the highest common factor of 796,744, 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 744 are 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
The HCF of 796,744 is 4.
Lets's calculate GCF of 796,744
2 | 796, 744 |
2 | 398, 372 |
199, 186 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Now, list down the factors of 796
:1,2,4,199,398,796
Now, list down the factors of 744
:1,2,3,4,6,8,12,24,31,62,93,124,186,248,372,744
Greatest Common Factor
We found the factors 796,744 . The biggest common factor number is the GCF number.
So the greatest common factor 796,744 is 4.
Lets's calculate LCM of 605,943
Given numbers has no common factors except 1. So, there LCM is their product i.e 570515
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/570515
Therefore, the GCF of Fractions 796/605,744/943 is 4/570515
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 605,943 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(605,943) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(605,943) x common factors =1 x 1 = 1
LCM(605,943) = ( 605 × 943 ) / 1
LCM(605,943) = 570515 / 1
LCM(605,943) = 570515
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 796,744?
The HCF of 796,744 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 796/605, 744/943?
Answer: GCF of Numerators as per given numbers 796/605, 744/943 is
GCF of Numerators i.e. for 796,744 is 4
LCM of denominators i.e. for 605,943 is 570515.
Thus, GCF of Fractions is 4/570515.Finally, GCF of Fractions for 796/605, 744/943 is 4/570515.