GCF of 4449/798, 6579/2575
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4449/798, 6579/2575 i.e 3/2054850 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4449/798, 6579/2575.
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 4449/798,6579/2575?
Given fractions are 4449/798,6579/2575
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 4449/798,6579/2575, numerators are 4449,6579
Denominators are 798,2575
The GCF of 4449,6579 is 3 .
LCM of 798,2575 is 2054850.
The greatest common factor of 4449/798,6579/2575 = [GCF of 4449,6579]/[LCM of 798,2575]= 3/2054850
Therefore, the GCF of 4449/798,6579/2575 is 3/2054850.
To find the highest common factor of 4449,6579, we have to find the factors of both numbers and list the highest common factor.
The factors of 4449 are 1, 3, 1483, 4449
The factors of 6579 are 1, 3, 9, 17, 43, 51, 129, 153, 387, 731, 2193, 6579
The HCF of 4449,6579 is 3.
Lets's calculate GCF of 4449,6579
| 3 | 4449, 6579 |
| 1483, 2193 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4449,6579 By Matching Biggest Common Factor Method
Now, list down the factors of 4449
:1,3,1483,4449
Now, list down the factors of 6579
:1,3,9,17,43,51,129,153,387,731,2193,6579
Greatest Common Factor
We found the factors 4449,6579 . The biggest common factor number is the GCF number.
So the greatest common factor 4449,6579 is 3.
Lets's calculate LCM of 798,2575
Given numbers has no common factors except 1. So, there LCM is their product i.e 2054850
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2054850
Therefore, the GCF of Fractions 4449/798,6579/2575 is 3/2054850
Least Common Multiple of 798,2575 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 798,2575 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(798,2575) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(798,2575) x common factors =1 x 1 = 1
LCM(798,2575) = ( 798 × 2575 ) / 1
LCM(798,2575) = 2054850 / 1
LCM(798,2575) = 2054850
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4449/798, 6579/2575
1. What is the HCF of 4449,6579?
The HCF of 4449,6579 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 4449/798, 6579/2575?
Answer: GCF of Numerators as per given numbers 4449/798, 6579/2575 is
GCF of Numerators i.e. for 4449,6579 is 3
LCM of denominators i.e. for 798,2575 is 2054850.
Thus, GCF of Fractions is 3/2054850.Finally, GCF of Fractions for 4449/798, 6579/2575 is 3/2054850.