Use our free GCF of Fractions Calculator tool to compute the GCF of 922/809, 9962/8571 i.e 2/6933939 easily. The following is the detailed procedure to determine the greatest common factor of fractions 922/809, 9962/8571.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 922/809,9962/8571
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 922/809,9962/8571, numerators are 922,9962
Denominators are 809,8571
The GCF of 922,9962 is 2 .
LCM of 809,8571 is 6933939.
The greatest common factor of 922/809,9962/8571 = [GCF of 922,9962]/[LCM of 809,8571]= 2/6933939
Therefore, the GCF of 922/809,9962/8571 is 2/6933939.
To find the highest common factor of 922,9962, we have to find the factors of both numbers and list the highest common factor.
The factors of 922 are 1, 2, 461, 922
The factors of 9962 are 1, 2, 17, 34, 293, 586, 4981, 9962
The HCF of 922,9962 is 2.
Lets's calculate GCF of 922,9962
2 | 922, 9962 |
461, 4981 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 922
:1,2,461,922
Now, list down the factors of 9962
:1,2,17,34,293,586,4981,9962
Greatest Common Factor
We found the factors 922,9962 . The biggest common factor number is the GCF number.
So the greatest common factor 922,9962 is 2.
Lets's calculate LCM of 809,8571
Given numbers has no common factors except 1. So, there LCM is their product i.e 6933939
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6933939
Therefore, the GCF of Fractions 922/809,9962/8571 is 2/6933939
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 809,8571 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(809,8571) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(809,8571) x common factors =1 x 1 = 1
LCM(809,8571) = ( 809 × 8571 ) / 1
LCM(809,8571) = 6933939 / 1
LCM(809,8571) = 6933939
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 922,9962?
The HCF of 922,9962 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 922/809, 9962/8571?
Answer: GCF of Numerators as per given numbers 922/809, 9962/8571 is
GCF of Numerators i.e. for 922,9962 is 2
LCM of denominators i.e. for 809,8571 is 6933939.
Thus, GCF of Fractions is 2/6933939.Finally, GCF of Fractions for 922/809, 9962/8571 is 2/6933939.