GCF of 2265/333, 4308/5761
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2265/333, 4308/5761 i.e 3/1918413 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2265/333, 4308/5761.
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 2265/333,4308/5761?
Given fractions are 2265/333,4308/5761
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 2265/333,4308/5761, numerators are 2265,4308
Denominators are 333,5761
The GCF of 2265,4308 is 3 .
LCM of 333,5761 is 1918413.
The greatest common factor of 2265/333,4308/5761 = [GCF of 2265,4308]/[LCM of 333,5761]= 3/1918413
Therefore, the GCF of 2265/333,4308/5761 is 3/1918413.
To find the highest common factor of 2265,4308, we have to find the factors of both numbers and list the highest common factor.
The factors of 2265 are 1, 3, 5, 15, 151, 453, 755, 2265
The factors of 4308 are 1, 2, 3, 4, 6, 12, 359, 718, 1077, 1436, 2154, 4308
The HCF of 2265,4308 is 3.
Lets's calculate GCF of 2265,4308
| 3 | 2265, 4308 |
| 755, 1436 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 2265,4308 By Matching Biggest Common Factor Method
Now, list down the factors of 2265
:1,3,5,15,151,453,755,2265
Now, list down the factors of 4308
:1,2,3,4,6,12,359,718,1077,1436,2154,4308
Greatest Common Factor
We found the factors 2265,4308 . The biggest common factor number is the GCF number.
So the greatest common factor 2265,4308 is 3.
Lets's calculate LCM of 333,5761
Given numbers has no common factors except 1. So, there LCM is their product i.e 1918413
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1918413
Therefore, the GCF of Fractions 2265/333,4308/5761 is 3/1918413
Least Common Multiple of 333,5761 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 333,5761 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(333,5761) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(333,5761) x common factors =1 x 1 = 1
LCM(333,5761) = ( 333 × 5761 ) / 1
LCM(333,5761) = 1918413 / 1
LCM(333,5761) = 1918413
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FAQs on GCF of Fractions of 2265/333, 4308/5761
1. What is the HCF of 2265,4308?
The HCF of 2265,4308 is 3
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 2265/333, 4308/5761?
Answer: GCF of Numerators as per given numbers 2265/333, 4308/5761 is
GCF of Numerators i.e. for 2265,4308 is 3
LCM of denominators i.e. for 333,5761 is 1918413.
Thus, GCF of Fractions is 3/1918413.Finally, GCF of Fractions for 2265/333, 4308/5761 is 3/1918413.