Use our free GCF of Fractions Calculator tool to compute the GCF of 388/856, 346/809 i.e 2/692504 easily. The following is the detailed procedure to determine the greatest common factor of fractions 388/856, 346/809.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 388/856,346/809
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 388/856,346/809, numerators are 388,346
Denominators are 856,809
The GCF of 388,346 is 2 .
LCM of 856,809 is 692504.
The greatest common factor of 388/856,346/809 = [GCF of 388,346]/[LCM of 856,809]= 2/692504
Therefore, the GCF of 388/856,346/809 is 2/692504.
To find the highest common factor of 388,346, we have to find the factors of both numbers and list the highest common factor.
The factors of 388 are 1, 2, 4, 97, 194, 388
The factors of 346 are 1, 2, 173, 346
The HCF of 388,346 is 2.
Lets's calculate GCF of 388,346
2 | 388, 346 |
194, 173 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 388
:1,2,4,97,194,388
Now, list down the factors of 346
:1,2,173,346
Greatest Common Factor
We found the factors 388,346 . The biggest common factor number is the GCF number.
So the greatest common factor 388,346 is 2.
Lets's calculate LCM of 856,809
Given numbers has no common factors except 1. So, there LCM is their product i.e 692504
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/692504
Therefore, the GCF of Fractions 388/856,346/809 is 2/692504
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 856,809 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(856,809) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(856,809) x common factors =1 x 1 = 1
LCM(856,809) = ( 856 × 809 ) / 1
LCM(856,809) = 692504 / 1
LCM(856,809) = 692504
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 388,346?
The HCF of 388,346 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 388/856, 346/809?
Answer: GCF of Numerators as per given numbers 388/856, 346/809 is
GCF of Numerators i.e. for 388,346 is 2
LCM of denominators i.e. for 856,809 is 692504.
Thus, GCF of Fractions is 2/692504.Finally, GCF of Fractions for 388/856, 346/809 is 2/692504.