Use our free GCF of Fractions Calculator tool to compute the GCF of 341/690, 919/578 i.e 1/199410 easily. The following is the detailed procedure to determine the greatest common factor of fractions 341/690, 919/578.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 341/690,919/578
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 341/690,919/578, numerators are 341,919
Denominators are 690,578
The GCF of 341,919 is 1 .
LCM of 690,578 is 199410.
The greatest common factor of 341/690,919/578 = [GCF of 341,919]/[LCM of 690,578]= 1/199410
Therefore, the GCF of 341/690,919/578 is 1/199410.
To find the highest common factor of 341,919, 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 919 are 1, 919
The HCF of 341,919 is 1.
Lets's calculate GCF of 341,919
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 341
:1,11,31,341
Now, list down the factors of 919
:1,919
Greatest Common Factor
We found the factors 341,919 . The biggest common factor number is the GCF number.
So the greatest common factor 341,919 is 1.
Lets's calculate LCM of 690,578
2 | 690, 578 |
345, 289 |
∴ So the LCM of the given numbers is 2 x 345 x 289 = 199410
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/199410
Therefore, the GCF of Fractions 341/690,919/578 is 1/199410
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 690,578 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(690,578) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(690,578) x common factors =2 x 1 = 2
LCM(690,578) = ( 690 × 578 ) / 2
LCM(690,578) = 398820 / 2
LCM(690,578) = 199410
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 341,919?
The HCF of 341,919 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 341/690, 919/578?
Answer: GCF of Numerators as per given numbers 341/690, 919/578 is
GCF of Numerators i.e. for 341,919 is 1
LCM of denominators i.e. for 690,578 is 199410.
Thus, GCF of Fractions is 1/199410.Finally, GCF of Fractions for 341/690, 919/578 is 1/199410.