Use our free GCF of Fractions Calculator tool to compute the GCF of 868/332, 617/338 i.e 1/56108 easily. The following is the detailed procedure to determine the greatest common factor of fractions 868/332, 617/338.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 868/332,617/338
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 868/332,617/338, numerators are 868,617
Denominators are 332,338
The GCF of 868,617 is 1 .
LCM of 332,338 is 56108.
The greatest common factor of 868/332,617/338 = [GCF of 868,617]/[LCM of 332,338]= 1/56108
Therefore, the GCF of 868/332,617/338 is 1/56108.
To find the highest common factor of 868,617, we have to find the factors of both numbers and list the highest common factor.
The factors of 868 are 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
The factors of 617 are 1, 617
The HCF of 868,617 is 1.
Lets's calculate GCF of 868,617
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 868
:1,2,4,7,14,28,31,62,124,217,434,868
Now, list down the factors of 617
:1,617
Greatest Common Factor
We found the factors 868,617 . The biggest common factor number is the GCF number.
So the greatest common factor 868,617 is 1.
Lets's calculate LCM of 332,338
2 | 332, 338 |
166, 169 |
∴ So the LCM of the given numbers is 2 x 166 x 169 = 56108
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/56108
Therefore, the GCF of Fractions 868/332,617/338 is 1/56108
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 332,338 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(332,338) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(332,338) x common factors =2 x 1 = 2
LCM(332,338) = ( 332 × 338 ) / 2
LCM(332,338) = 112216 / 2
LCM(332,338) = 56108
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 868,617?
The HCF of 868,617 is 1
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 868/332, 617/338?
Answer: GCF of Numerators as per given numbers 868/332, 617/338 is
GCF of Numerators i.e. for 868,617 is 1
LCM of denominators i.e. for 332,338 is 56108.
Thus, GCF of Fractions is 1/56108.Finally, GCF of Fractions for 868/332, 617/338 is 1/56108.