Use our free GCF of Fractions Calculator tool to compute the GCF of 8165/632, 3890/9943 i.e 5/6283976 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8165/632, 3890/9943.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8165/632,3890/9943
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 8165/632,3890/9943, numerators are 8165,3890
Denominators are 632,9943
The GCF of 8165,3890 is 5 .
LCM of 632,9943 is 6283976.
The greatest common factor of 8165/632,3890/9943 = [GCF of 8165,3890]/[LCM of 632,9943]= 5/6283976
Therefore, the GCF of 8165/632,3890/9943 is 5/6283976.
To find the highest common factor of 8165,3890, we have to find the factors of both numbers and list the highest common factor.
The factors of 8165 are 1, 5, 23, 71, 115, 355, 1633, 8165
The factors of 3890 are 1, 2, 5, 10, 389, 778, 1945, 3890
The HCF of 8165,3890 is 5.
Lets's calculate GCF of 8165,3890
5 | 8165, 3890 |
1633, 778 |
∴ So the GCF of the given numbers is 5 = 5
Now, list down the factors of 8165
:1,5,23,71,115,355,1633,8165
Now, list down the factors of 3890
:1,2,5,10,389,778,1945,3890
Greatest Common Factor
We found the factors 8165,3890 . The biggest common factor number is the GCF number.
So the greatest common factor 8165,3890 is 5.
Lets's calculate LCM of 632,9943
Given numbers has no common factors except 1. So, there LCM is their product i.e 6283976
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/6283976
Therefore, the GCF of Fractions 8165/632,3890/9943 is 5/6283976
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 632,9943 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(632,9943) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(632,9943) x common factors =1 x 1 = 1
LCM(632,9943) = ( 632 × 9943 ) / 1
LCM(632,9943) = 6283976 / 1
LCM(632,9943) = 6283976
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 8165,3890?
The HCF of 8165,3890 is 5
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 8165/632, 3890/9943?
Answer: GCF of Numerators as per given numbers 8165/632, 3890/9943 is
GCF of Numerators i.e. for 8165,3890 is 5
LCM of denominators i.e. for 632,9943 is 6283976.
Thus, GCF of Fractions is 5/6283976.Finally, GCF of Fractions for 8165/632, 3890/9943 is 5/6283976.