Use our free GCF of Fractions Calculator tool to compute the GCF of 686/795, 298/467 i.e 2/371265 easily. The following is the detailed procedure to determine the greatest common factor of fractions 686/795, 298/467.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 686/795,298/467
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 686/795,298/467, numerators are 686,298
Denominators are 795,467
The GCF of 686,298 is 2 .
LCM of 795,467 is 371265.
The greatest common factor of 686/795,298/467 = [GCF of 686,298]/[LCM of 795,467]= 2/371265
Therefore, the GCF of 686/795,298/467 is 2/371265.
To find the highest common factor of 686,298, we have to find the factors of both numbers and list the highest common factor.
The factors of 686 are 1, 2, 7, 14, 49, 98, 343, 686
The factors of 298 are 1, 2, 149, 298
The HCF of 686,298 is 2.
Lets's calculate GCF of 686,298
2 | 686, 298 |
343, 149 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 686
:1,2,7,14,49,98,343,686
Now, list down the factors of 298
:1,2,149,298
Greatest Common Factor
We found the factors 686,298 . The biggest common factor number is the GCF number.
So the greatest common factor 686,298 is 2.
Lets's calculate LCM of 795,467
Given numbers has no common factors except 1. So, there LCM is their product i.e 371265
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/371265
Therefore, the GCF of Fractions 686/795,298/467 is 2/371265
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 795,467 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(795,467) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(795,467) x common factors =1 x 1 = 1
LCM(795,467) = ( 795 × 467 ) / 1
LCM(795,467) = 371265 / 1
LCM(795,467) = 371265
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 686,298?
The HCF of 686,298 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 686/795, 298/467?
Answer: GCF of Numerators as per given numbers 686/795, 298/467 is
GCF of Numerators i.e. for 686,298 is 2
LCM of denominators i.e. for 795,467 is 371265.
Thus, GCF of Fractions is 2/371265.Finally, GCF of Fractions for 686/795, 298/467 is 2/371265.