GCF of 6686/325, 7998/8375
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6686/325, 7998/8375 i.e 2/108875 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6686/325, 7998/8375.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 6686/325,7998/8375?
Given fractions are 6686/325,7998/8375
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 6686/325,7998/8375, numerators are 6686,7998
Denominators are 325,8375
The GCF of 6686,7998 is 2 .
LCM of 325,8375 is 108875.
The greatest common factor of 6686/325,7998/8375 = [GCF of 6686,7998]/[LCM of 325,8375]= 2/108875
Therefore, the GCF of 6686/325,7998/8375 is 2/108875.
To find the highest common factor of 6686,7998, we have to find the factors of both numbers and list the highest common factor.
The factors of 6686 are 1, 2, 3343, 6686
The factors of 7998 are 1, 2, 3, 6, 31, 43, 62, 86, 93, 129, 186, 258, 1333, 2666, 3999, 7998
The HCF of 6686,7998 is 2.
Lets's calculate GCF of 6686,7998
| 2 | 6686, 7998 |
| 3343, 3999 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6686,7998 By Matching Biggest Common Factor Method
Now, list down the factors of 6686
:1,2,3343,6686
Now, list down the factors of 7998
:1,2,3,6,31,43,62,86,93,129,186,258,1333,2666,3999,7998
Greatest Common Factor
We found the factors 6686,7998 . The biggest common factor number is the GCF number.
So the greatest common factor 6686,7998 is 2.
Lets's calculate LCM of 325,8375
| 5 | 325, 8375 |
| 5 | 65, 1675 |
| 13, 335 |
∴ So the LCM of the given numbers is 5 x 5 x 13 x 335 = 108875
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/108875
Therefore, the GCF of Fractions 6686/325,7998/8375 is 2/108875
Least Common Multiple of 325,8375 with GCF Formula
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 325,8375 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(325,8375) = 25
common factors(in case of two or more numbers have common factors) = 1
GCF(325,8375) x common factors =25 x 1 = 25
LCM(325,8375) = ( 325 × 8375 ) / 25
LCM(325,8375) = 2721875 / 25
LCM(325,8375) = 108875
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6686/325, 7998/8375
1. What is the HCF of 6686,7998?
The HCF of 6686,7998 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 6686/325, 7998/8375?
Answer: GCF of Numerators as per given numbers 6686/325, 7998/8375 is
GCF of Numerators i.e. for 6686,7998 is 2
LCM of denominators i.e. for 325,8375 is 108875.
Thus, GCF of Fractions is 2/108875.Finally, GCF of Fractions for 6686/325, 7998/8375 is 2/108875.