Use our free GCF of Fractions Calculator tool to compute the GCF of 341/594, 781/656 i.e 11/194832 easily. The following is the detailed procedure to determine the greatest common factor of fractions 341/594, 781/656.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 341/594,781/656
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 341/594,781/656, numerators are 341,781
Denominators are 594,656
The GCF of 341,781 is 11 .
LCM of 594,656 is 194832.
The greatest common factor of 341/594,781/656 = [GCF of 341,781]/[LCM of 594,656]= 11/194832
Therefore, the GCF of 341/594,781/656 is 11/194832.
To find the highest common factor of 341,781, we have to find the factors of both numbers and list the highest common factor.
The factors of 341 are 1, 11, 31, 341
The factors of 781 are 1, 11, 71, 781
The HCF of 341,781 is 11.
Lets's calculate GCF of 341,781
11 | 341, 781 |
31, 71 |
∴ So the GCF of the given numbers is 11 = 11
Now, list down the factors of 341
:1,11,31,341
Now, list down the factors of 781
:1,11,71,781
Greatest Common Factor
We found the factors 341,781 . The biggest common factor number is the GCF number.
So the greatest common factor 341,781 is 11.
Lets's calculate LCM of 594,656
2 | 594, 656 |
297, 328 |
∴ So the LCM of the given numbers is 2 x 297 x 328 = 194832
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/194832
Therefore, the GCF of Fractions 341/594,781/656 is 11/194832
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 594,656 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(594,656) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(594,656) x common factors =2 x 1 = 2
LCM(594,656) = ( 594 × 656 ) / 2
LCM(594,656) = 389664 / 2
LCM(594,656) = 194832
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 341,781?
The HCF of 341,781 is 11
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 341/594, 781/656?
Answer: GCF of Numerators as per given numbers 341/594, 781/656 is
GCF of Numerators i.e. for 341,781 is 11
LCM of denominators i.e. for 594,656 is 194832.
Thus, GCF of Fractions is 11/194832.Finally, GCF of Fractions for 341/594, 781/656 is 11/194832.