Use our free GCF of Fractions Calculator tool to compute the GCF of 8760/576, 2325/1265 i.e 15/728640 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8760/576, 2325/1265.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8760/576,2325/1265
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 8760/576,2325/1265, numerators are 8760,2325
Denominators are 576,1265
The GCF of 8760,2325 is 15 .
LCM of 576,1265 is 728640.
The greatest common factor of 8760/576,2325/1265 = [GCF of 8760,2325]/[LCM of 576,1265]= 15/728640
Therefore, the GCF of 8760/576,2325/1265 is 15/728640.
To find the highest common factor of 8760,2325, we have to find the factors of both numbers and list the highest common factor.
The factors of 8760 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 73, 120, 146, 219, 292, 365, 438, 584, 730, 876, 1095, 1460, 1752, 2190, 2920, 4380, 8760
The factors of 2325 are 1, 3, 5, 15, 25, 31, 75, 93, 155, 465, 775, 2325
The HCF of 8760,2325 is 15.
Lets's calculate GCF of 8760,2325
3 | 8760, 2325 |
5 | 2920, 775 |
584, 155 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Now, list down the factors of 8760
:1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,73,120,146,219,292,365,438,584,730,876,1095,1460,1752,2190,2920,4380,8760
Now, list down the factors of 2325
:1,3,5,15,25,31,75,93,155,465,775,2325
Greatest Common Factor
We found the factors 8760,2325 . The biggest common factor number is the GCF number.
So the greatest common factor 8760,2325 is 15.
Lets's calculate LCM of 576,1265
Given numbers has no common factors except 1. So, there LCM is their product i.e 728640
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/728640
Therefore, the GCF of Fractions 8760/576,2325/1265 is 15/728640
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 576,1265 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(576,1265) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(576,1265) x common factors =1 x 1 = 1
LCM(576,1265) = ( 576 × 1265 ) / 1
LCM(576,1265) = 728640 / 1
LCM(576,1265) = 728640
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 8760,2325?
The HCF of 8760,2325 is 15
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 8760/576, 2325/1265?
Answer: GCF of Numerators as per given numbers 8760/576, 2325/1265 is
GCF of Numerators i.e. for 8760,2325 is 15
LCM of denominators i.e. for 576,1265 is 728640.
Thus, GCF of Fractions is 15/728640.Finally, GCF of Fractions for 8760/576, 2325/1265 is 15/728640.