Use our free GCF of Fractions Calculator tool to compute the GCF of 545/360, 9265/1730 i.e 545/62280 easily. The following is the detailed procedure to determine the greatest common factor of fractions 545/360, 9265/1730.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 545/360,9265/1730
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 545/360,9265/1730, numerators are 545,9265
Denominators are 360,1730
The GCF of 545,9265 is 545 .
LCM of 360,1730 is 62280.
The greatest common factor of 545/360,9265/1730 = [GCF of 545,9265]/[LCM of 360,1730]= 545/62280
Therefore, the GCF of 545/360,9265/1730 is 545/62280.
To find the highest common factor of 545,9265, we have to find the factors of both numbers and list the highest common factor.
The factors of 545 are 1, 5, 109, 545
The factors of 9265 are 1, 5, 17, 85, 109, 545, 1853, 9265
The HCF of 545,9265 is 545.
Lets's calculate GCF of 545,9265
5 | 545, 9265 |
109 | 109, 1853 |
1, 17 |
∴ So the GCF of the given numbers is 5 x 109 = 545
Now, list down the factors of 545
:1,5,109,545
Now, list down the factors of 9265
:1,5,17,85,109,545,1853,9265
Greatest Common Factor
We found the factors 545,9265 . The biggest common factor number is the GCF number.
So the greatest common factor 545,9265 is 545.
Lets's calculate LCM of 360,1730
2 | 360, 1730 |
5 | 180, 865 |
36, 173 |
∴ So the LCM of the given numbers is 2 x 5 x 36 x 173 = 62280
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 545/62280
Therefore, the GCF of Fractions 545/360,9265/1730 is 545/62280
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 360,1730 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(360,1730) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(360,1730) x common factors =10 x 1 = 10
LCM(360,1730) = ( 360 × 1730 ) / 10
LCM(360,1730) = 622800 / 10
LCM(360,1730) = 62280
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 545,9265?
The HCF of 545,9265 is 545
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 545/360, 9265/1730?
Answer: GCF of Numerators as per given numbers 545/360, 9265/1730 is
GCF of Numerators i.e. for 545,9265 is 545
LCM of denominators i.e. for 360,1730 is 62280.
Thus, GCF of Fractions is 545/62280.Finally, GCF of Fractions for 545/360, 9265/1730 is 545/62280.