Use our free GCF of Fractions Calculator tool to compute the GCF of 391/408, 349/425 i.e 1/10200 easily. The following is the detailed procedure to determine the greatest common factor of fractions 391/408, 349/425.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 391/408,349/425
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 391/408,349/425, numerators are 391,349
Denominators are 408,425
The GCF of 391,349 is 1 .
LCM of 408,425 is 10200.
The greatest common factor of 391/408,349/425 = [GCF of 391,349]/[LCM of 408,425]= 1/10200
Therefore, the GCF of 391/408,349/425 is 1/10200.
To find the highest common factor of 391,349, we have to find the factors of both numbers and list the highest common factor.
The factors of 391 are 1, 17, 23, 391
The factors of 349 are 1, 349
The HCF of 391,349 is 1.
Lets's calculate GCF of 391,349
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 391
:1,17,23,391
Now, list down the factors of 349
:1,349
Greatest Common Factor
We found the factors 391,349 . The biggest common factor number is the GCF number.
So the greatest common factor 391,349 is 1.
Lets's calculate LCM of 408,425
17 | 408, 425 |
24, 25 |
∴ So the LCM of the given numbers is 17 x 24 x 25 = 10200
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10200
Therefore, the GCF of Fractions 391/408,349/425 is 1/10200
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 408,425 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(408,425) = 17
common factors(in case of two or more numbers have common factors) = 1
GCF(408,425) x common factors =17 x 1 = 17
LCM(408,425) = ( 408 × 425 ) / 17
LCM(408,425) = 173400 / 17
LCM(408,425) = 10200
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 391,349?
The HCF of 391,349 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 391/408, 349/425?
Answer: GCF of Numerators as per given numbers 391/408, 349/425 is
GCF of Numerators i.e. for 391,349 is 1
LCM of denominators i.e. for 408,425 is 10200.
Thus, GCF of Fractions is 1/10200.Finally, GCF of Fractions for 391/408, 349/425 is 1/10200.