Use our free GCF of Fractions Calculator tool to compute the GCF of 270/149, 373/235 i.e 1/35015 easily. The following is the detailed procedure to determine the greatest common factor of fractions 270/149, 373/235.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 270/149,373/235
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 270/149,373/235, numerators are 270,373
Denominators are 149,235
The GCF of 270,373 is 1 .
LCM of 149,235 is 35015.
The greatest common factor of 270/149,373/235 = [GCF of 270,373]/[LCM of 149,235]= 1/35015
Therefore, the GCF of 270/149,373/235 is 1/35015.
To find the highest common factor of 270,373, we have to find the factors of both numbers and list the highest common factor.
The factors of 270 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
The factors of 373 are 1, 373
The HCF of 270,373 is 1.
Lets's calculate GCF of 270,373
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 270
:1,2,3,5,6,9,10,15,18,27,30,45,54,90,135,270
Now, list down the factors of 373
:1,373
Greatest Common Factor
We found the factors 270,373 . The biggest common factor number is the GCF number.
So the greatest common factor 270,373 is 1.
Lets's calculate LCM of 149,235
Given numbers has no common factors except 1. So, there LCM is their product i.e 35015
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/35015
Therefore, the GCF of Fractions 270/149,373/235 is 1/35015
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 149,235 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(149,235) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(149,235) x common factors =1 x 1 = 1
LCM(149,235) = ( 149 × 235 ) / 1
LCM(149,235) = 35015 / 1
LCM(149,235) = 35015
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 270,373?
The HCF of 270,373 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 270/149, 373/235?
Answer: GCF of Numerators as per given numbers 270/149, 373/235 is
GCF of Numerators i.e. for 270,373 is 1
LCM of denominators i.e. for 149,235 is 35015.
Thus, GCF of Fractions is 1/35015.Finally, GCF of Fractions for 270/149, 373/235 is 1/35015.