Use our free GCF of Fractions Calculator tool to compute the GCF of 337/123, 154/375 i.e 1/15375 easily. The following is the detailed procedure to determine the greatest common factor of fractions 337/123, 154/375.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 337/123,154/375
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 337/123,154/375, numerators are 337,154
Denominators are 123,375
The GCF of 337,154 is 1 .
LCM of 123,375 is 15375.
The greatest common factor of 337/123,154/375 = [GCF of 337,154]/[LCM of 123,375]= 1/15375
Therefore, the GCF of 337/123,154/375 is 1/15375.
To find the highest common factor of 337,154, 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 154 are 1, 2, 7, 11, 14, 22, 77, 154
The HCF of 337,154 is 1.
Lets's calculate GCF of 337,154
∴ 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 154
:1,2,7,11,14,22,77,154
Greatest Common Factor
We found the factors 337,154 . The biggest common factor number is the GCF number.
So the greatest common factor 337,154 is 1.
Lets's calculate LCM of 123,375
3 | 123, 375 |
41, 125 |
∴ So the LCM of the given numbers is 3 x 41 x 125 = 15375
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15375
Therefore, the GCF of Fractions 337/123,154/375 is 1/15375
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 123,375 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(123,375) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(123,375) x common factors =3 x 1 = 3
LCM(123,375) = ( 123 × 375 ) / 3
LCM(123,375) = 46125 / 3
LCM(123,375) = 15375
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 337,154?
The HCF of 337,154 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 337/123, 154/375?
Answer: GCF of Numerators as per given numbers 337/123, 154/375 is
GCF of Numerators i.e. for 337,154 is 1
LCM of denominators i.e. for 123,375 is 15375.
Thus, GCF of Fractions is 1/15375.Finally, GCF of Fractions for 337/123, 154/375 is 1/15375.