Use our free GCF of Fractions Calculator tool to compute the GCF of 349/324, 754/509 i.e 1/164916 easily. The following is the detailed procedure to determine the greatest common factor of fractions 349/324, 754/509.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 349/324,754/509
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 349/324,754/509, numerators are 349,754
Denominators are 324,509
The GCF of 349,754 is 1 .
LCM of 324,509 is 164916.
The greatest common factor of 349/324,754/509 = [GCF of 349,754]/[LCM of 324,509]= 1/164916
Therefore, the GCF of 349/324,754/509 is 1/164916.
To find the highest common factor of 349,754, 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 754 are 1, 2, 13, 26, 29, 58, 377, 754
The HCF of 349,754 is 1.
Lets's calculate GCF of 349,754
∴ 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 754
:1,2,13,26,29,58,377,754
Greatest Common Factor
We found the factors 349,754 . The biggest common factor number is the GCF number.
So the greatest common factor 349,754 is 1.
Lets's calculate LCM of 324,509
Given numbers has no common factors except 1. So, there LCM is their product i.e 164916
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/164916
Therefore, the GCF of Fractions 349/324,754/509 is 1/164916
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 324,509 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(324,509) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(324,509) x common factors =1 x 1 = 1
LCM(324,509) = ( 324 × 509 ) / 1
LCM(324,509) = 164916 / 1
LCM(324,509) = 164916
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 349,754?
The HCF of 349,754 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 349/324, 754/509?
Answer: GCF of Numerators as per given numbers 349/324, 754/509 is
GCF of Numerators i.e. for 349,754 is 1
LCM of denominators i.e. for 324,509 is 164916.
Thus, GCF of Fractions is 1/164916.Finally, GCF of Fractions for 349/324, 754/509 is 1/164916.