Use our free GCF of Fractions Calculator tool to compute the GCF of 6788/114, 3484/5820 i.e 4/110580 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6788/114, 3484/5820.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6788/114,3484/5820
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 6788/114,3484/5820, numerators are 6788,3484
Denominators are 114,5820
The GCF of 6788,3484 is 4 .
LCM of 114,5820 is 110580.
The greatest common factor of 6788/114,3484/5820 = [GCF of 6788,3484]/[LCM of 114,5820]= 4/110580
Therefore, the GCF of 6788/114,3484/5820 is 4/110580.
To find the highest common factor of 6788,3484, we have to find the factors of both numbers and list the highest common factor.
The factors of 6788 are 1, 2, 4, 1697, 3394, 6788
The factors of 3484 are 1, 2, 4, 13, 26, 52, 67, 134, 268, 871, 1742, 3484
The HCF of 6788,3484 is 4.
Lets's calculate GCF of 6788,3484
2 | 6788, 3484 |
2 | 3394, 1742 |
1697, 871 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Now, list down the factors of 6788
:1,2,4,1697,3394,6788
Now, list down the factors of 3484
:1,2,4,13,26,52,67,134,268,871,1742,3484
Greatest Common Factor
We found the factors 6788,3484 . The biggest common factor number is the GCF number.
So the greatest common factor 6788,3484 is 4.
Lets's calculate LCM of 114,5820
2 | 114, 5820 |
3 | 57, 2910 |
19, 970 |
∴ So the LCM of the given numbers is 2 x 3 x 19 x 970 = 110580
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/110580
Therefore, the GCF of Fractions 6788/114,3484/5820 is 4/110580
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 114,5820 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(114,5820) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(114,5820) x common factors =6 x 1 = 6
LCM(114,5820) = ( 114 × 5820 ) / 6
LCM(114,5820) = 663480 / 6
LCM(114,5820) = 110580
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 6788,3484?
The HCF of 6788,3484 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 6788/114, 3484/5820?
Answer: GCF of Numerators as per given numbers 6788/114, 3484/5820 is
GCF of Numerators i.e. for 6788,3484 is 4
LCM of denominators i.e. for 114,5820 is 110580.
Thus, GCF of Fractions is 4/110580.Finally, GCF of Fractions for 6788/114, 3484/5820 is 4/110580.