Use our free GCF of Fractions Calculator tool to compute the GCF of 5878/323, 9418/7820 i.e 2/148580 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5878/323, 9418/7820.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5878/323,9418/7820
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 5878/323,9418/7820, numerators are 5878,9418
Denominators are 323,7820
The GCF of 5878,9418 is 2 .
LCM of 323,7820 is 148580.
The greatest common factor of 5878/323,9418/7820 = [GCF of 5878,9418]/[LCM of 323,7820]= 2/148580
Therefore, the GCF of 5878/323,9418/7820 is 2/148580.
To find the highest common factor of 5878,9418, we have to find the factors of both numbers and list the highest common factor.
The factors of 5878 are 1, 2, 2939, 5878
The factors of 9418 are 1, 2, 17, 34, 277, 554, 4709, 9418
The HCF of 5878,9418 is 2.
Lets's calculate GCF of 5878,9418
2 | 5878, 9418 |
2939, 4709 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 5878
:1,2,2939,5878
Now, list down the factors of 9418
:1,2,17,34,277,554,4709,9418
Greatest Common Factor
We found the factors 5878,9418 . The biggest common factor number is the GCF number.
So the greatest common factor 5878,9418 is 2.
Lets's calculate LCM of 323,7820
17 | 323, 7820 |
19, 460 |
∴ So the LCM of the given numbers is 17 x 19 x 460 = 148580
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/148580
Therefore, the GCF of Fractions 5878/323,9418/7820 is 2/148580
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 323,7820 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(323,7820) = 17
common factors(in case of two or more numbers have common factors) = 1
GCF(323,7820) x common factors =17 x 1 = 17
LCM(323,7820) = ( 323 × 7820 ) / 17
LCM(323,7820) = 2525860 / 17
LCM(323,7820) = 148580
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 5878,9418?
The HCF of 5878,9418 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 5878/323, 9418/7820?
Answer: GCF of Numerators as per given numbers 5878/323, 9418/7820 is
GCF of Numerators i.e. for 5878,9418 is 2
LCM of denominators i.e. for 323,7820 is 148580.
Thus, GCF of Fractions is 2/148580.Finally, GCF of Fractions for 5878/323, 9418/7820 is 2/148580.