GCF of 7905/929, 4305/3605
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7905/929, 4305/3605 i.e 15/3349045 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7905/929, 4305/3605.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 7905/929,4305/3605?
Given fractions are 7905/929,4305/3605
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 7905/929,4305/3605, numerators are 7905,4305
Denominators are 929,3605
The GCF of 7905,4305 is 15 .
LCM of 929,3605 is 3349045.
The greatest common factor of 7905/929,4305/3605 = [GCF of 7905,4305]/[LCM of 929,3605]= 15/3349045
Therefore, the GCF of 7905/929,4305/3605 is 15/3349045.
To find the highest common factor of 7905,4305, we have to find the factors of both numbers and list the highest common factor.
The factors of 7905 are 1, 3, 5, 15, 17, 31, 51, 85, 93, 155, 255, 465, 527, 1581, 2635, 7905
The factors of 4305 are 1, 3, 5, 7, 15, 21, 35, 41, 105, 123, 205, 287, 615, 861, 1435, 4305
The HCF of 7905,4305 is 15.
Lets's calculate GCF of 7905,4305
| 3 | 7905, 4305 |
| 5 | 2635, 1435 |
| 527, 287 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Greatest Common Factor of 7905,4305 By Matching Biggest Common Factor Method
Now, list down the factors of 7905
:1,3,5,15,17,31,51,85,93,155,255,465,527,1581,2635,7905
Now, list down the factors of 4305
:1,3,5,7,15,21,35,41,105,123,205,287,615,861,1435,4305
Greatest Common Factor
We found the factors 7905,4305 . The biggest common factor number is the GCF number.
So the greatest common factor 7905,4305 is 15.
Lets's calculate LCM of 929,3605
Given numbers has no common factors except 1. So, there LCM is their product i.e 3349045
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/3349045
Therefore, the GCF of Fractions 7905/929,4305/3605 is 15/3349045
Least Common Multiple of 929,3605 with GCF Formula
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 929,3605 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(929,3605) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(929,3605) x common factors =1 x 1 = 1
LCM(929,3605) = ( 929 × 3605 ) / 1
LCM(929,3605) = 3349045 / 1
LCM(929,3605) = 3349045
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7905/929, 4305/3605
1. What is the HCF of 7905,4305?
The HCF of 7905,4305 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 7905/929, 4305/3605?
Answer: GCF of Numerators as per given numbers 7905/929, 4305/3605 is
GCF of Numerators i.e. for 7905,4305 is 15
LCM of denominators i.e. for 929,3605 is 3349045.
Thus, GCF of Fractions is 15/3349045.Finally, GCF of Fractions for 7905/929, 4305/3605 is 15/3349045.