Use our free GCF of Fractions Calculator tool to compute the GCF of 838/673, 132/594 i.e 2/399762 easily. The following is the detailed procedure to determine the greatest common factor of fractions 838/673, 132/594.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 838/673,132/594
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 838/673,132/594, numerators are 838,132
Denominators are 673,594
The GCF of 838,132 is 2 .
LCM of 673,594 is 399762.
The greatest common factor of 838/673,132/594 = [GCF of 838,132]/[LCM of 673,594]= 2/399762
Therefore, the GCF of 838/673,132/594 is 2/399762.
To find the highest common factor of 838,132, we have to find the factors of both numbers and list the highest common factor.
The factors of 838 are 1, 2, 419, 838
The factors of 132 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
The HCF of 838,132 is 2.
Lets's calculate GCF of 838,132
2 | 838, 132 |
419, 66 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 838
:1,2,419,838
Now, list down the factors of 132
:1,2,3,4,6,11,12,22,33,44,66,132
Greatest Common Factor
We found the factors 838,132 . The biggest common factor number is the GCF number.
So the greatest common factor 838,132 is 2.
Lets's calculate LCM of 673,594
Given numbers has no common factors except 1. So, there LCM is their product i.e 399762
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/399762
Therefore, the GCF of Fractions 838/673,132/594 is 2/399762
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 673,594 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(673,594) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(673,594) x common factors =1 x 1 = 1
LCM(673,594) = ( 673 × 594 ) / 1
LCM(673,594) = 399762 / 1
LCM(673,594) = 399762
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 838,132?
The HCF of 838,132 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 838/673, 132/594?
Answer: GCF of Numerators as per given numbers 838/673, 132/594 is
GCF of Numerators i.e. for 838,132 is 2
LCM of denominators i.e. for 673,594 is 399762.
Thus, GCF of Fractions is 2/399762.Finally, GCF of Fractions for 838/673, 132/594 is 2/399762.