Use our free GCF of Fractions Calculator tool to compute the GCF of 337/301, 358/849 i.e 1/255549 easily. The following is the detailed procedure to determine the greatest common factor of fractions 337/301, 358/849.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 337/301,358/849
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 337/301,358/849, numerators are 337,358
Denominators are 301,849
The GCF of 337,358 is 1 .
LCM of 301,849 is 255549.
The greatest common factor of 337/301,358/849 = [GCF of 337,358]/[LCM of 301,849]= 1/255549
Therefore, the GCF of 337/301,358/849 is 1/255549.
To find the highest common factor of 337,358, we have to find the factors of both numbers and list the highest common factor.
The factors of 337 are 1, 337
The factors of 358 are 1, 2, 179, 358
The HCF of 337,358 is 1.
Lets's calculate GCF of 337,358
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 337
:1,337
Now, list down the factors of 358
:1,2,179,358
Greatest Common Factor
We found the factors 337,358 . The biggest common factor number is the GCF number.
So the greatest common factor 337,358 is 1.
Lets's calculate LCM of 301,849
Given numbers has no common factors except 1. So, there LCM is their product i.e 255549
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/255549
Therefore, the GCF of Fractions 337/301,358/849 is 1/255549
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 301,849 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(301,849) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(301,849) x common factors =1 x 1 = 1
LCM(301,849) = ( 301 × 849 ) / 1
LCM(301,849) = 255549 / 1
LCM(301,849) = 255549
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 337,358?
The HCF of 337,358 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 337/301, 358/849?
Answer: GCF of Numerators as per given numbers 337/301, 358/849 is
GCF of Numerators i.e. for 337,358 is 1
LCM of denominators i.e. for 301,849 is 255549.
Thus, GCF of Fractions is 1/255549.Finally, GCF of Fractions for 337/301, 358/849 is 1/255549.