Use our free GCF of Fractions Calculator tool to compute the GCF of 349/734, 338/542 i.e 1/198914 easily. The following is the detailed procedure to determine the greatest common factor of fractions 349/734, 338/542.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 349/734,338/542
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 349/734,338/542, numerators are 349,338
Denominators are 734,542
The GCF of 349,338 is 1 .
LCM of 734,542 is 198914.
The greatest common factor of 349/734,338/542 = [GCF of 349,338]/[LCM of 734,542]= 1/198914
Therefore, the GCF of 349/734,338/542 is 1/198914.
To find the highest common factor of 349,338, we have to find the factors of both numbers and list the highest common factor.
The factors of 349 are 1, 349
The factors of 338 are 1, 2, 13, 26, 169, 338
The HCF of 349,338 is 1.
Lets's calculate GCF of 349,338
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 349
:1,349
Now, list down the factors of 338
:1,2,13,26,169,338
Greatest Common Factor
We found the factors 349,338 . The biggest common factor number is the GCF number.
So the greatest common factor 349,338 is 1.
Lets's calculate LCM of 734,542
2 | 734, 542 |
367, 271 |
∴ So the LCM of the given numbers is 2 x 367 x 271 = 198914
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/198914
Therefore, the GCF of Fractions 349/734,338/542 is 1/198914
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 734,542 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(734,542) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(734,542) x common factors =2 x 1 = 2
LCM(734,542) = ( 734 × 542 ) / 2
LCM(734,542) = 397828 / 2
LCM(734,542) = 198914
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 349,338?
The HCF of 349,338 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 349/734, 338/542?
Answer: GCF of Numerators as per given numbers 349/734, 338/542 is
GCF of Numerators i.e. for 349,338 is 1
LCM of denominators i.e. for 734,542 is 198914.
Thus, GCF of Fractions is 1/198914.Finally, GCF of Fractions for 349/734, 338/542 is 1/198914.