Use our free GCF of Fractions Calculator tool to compute the GCF of 605/158, 165/320 i.e 55/25280 easily. The following is the detailed procedure to determine the greatest common factor of fractions 605/158, 165/320.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 605/158,165/320
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 605/158,165/320, numerators are 605,165
Denominators are 158,320
The GCF of 605,165 is 55 .
LCM of 158,320 is 25280.
The greatest common factor of 605/158,165/320 = [GCF of 605,165]/[LCM of 158,320]= 55/25280
Therefore, the GCF of 605/158,165/320 is 55/25280.
To find the highest common factor of 605,165, we have to find the factors of both numbers and list the highest common factor.
The factors of 605 are 1, 5, 11, 55, 121, 605
The factors of 165 are 1, 3, 5, 11, 15, 33, 55, 165
The HCF of 605,165 is 55.
Lets's calculate GCF of 605,165
5 | 605, 165 |
11 | 121, 33 |
11, 3 |
∴ So the GCF of the given numbers is 5 x 11 = 55
Now, list down the factors of 605
:1,5,11,55,121,605
Now, list down the factors of 165
:1,3,5,11,15,33,55,165
Greatest Common Factor
We found the factors 605,165 . The biggest common factor number is the GCF number.
So the greatest common factor 605,165 is 55.
Lets's calculate LCM of 158,320
2 | 158, 320 |
79, 160 |
∴ So the LCM of the given numbers is 2 x 79 x 160 = 25280
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 55/25280
Therefore, the GCF of Fractions 605/158,165/320 is 55/25280
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 158,320 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(158,320) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(158,320) x common factors =2 x 1 = 2
LCM(158,320) = ( 158 × 320 ) / 2
LCM(158,320) = 50560 / 2
LCM(158,320) = 25280
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 605,165?
The HCF of 605,165 is 55
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 605/158, 165/320?
Answer: GCF of Numerators as per given numbers 605/158, 165/320 is
GCF of Numerators i.e. for 605,165 is 55
LCM of denominators i.e. for 158,320 is 25280.
Thus, GCF of Fractions is 55/25280.Finally, GCF of Fractions for 605/158, 165/320 is 55/25280.