GCF of 4809/368, 5519/9529
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4809/368, 5519/9529 i.e 1/3506672 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4809/368, 5519/9529.
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 4809/368,5519/9529?
Given fractions are 4809/368,5519/9529
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 4809/368,5519/9529, numerators are 4809,5519
Denominators are 368,9529
The GCF of 4809,5519 is 1 .
LCM of 368,9529 is 3506672.
The greatest common factor of 4809/368,5519/9529 = [GCF of 4809,5519]/[LCM of 368,9529]= 1/3506672
Therefore, the GCF of 4809/368,5519/9529 is 1/3506672.
To find the highest common factor of 4809,5519, we have to find the factors of both numbers and list the highest common factor.
The factors of 4809 are 1, 3, 7, 21, 229, 687, 1603, 4809
The factors of 5519 are 1, 5519
The HCF of 4809,5519 is 1.
Lets's calculate GCF of 4809,5519
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4809,5519 By Matching Biggest Common Factor Method
Now, list down the factors of 4809
:1,3,7,21,229,687,1603,4809
Now, list down the factors of 5519
:1,5519
Greatest Common Factor
We found the factors 4809,5519 . The biggest common factor number is the GCF number.
So the greatest common factor 4809,5519 is 1.
Lets's calculate LCM of 368,9529
Given numbers has no common factors except 1. So, there LCM is their product i.e 3506672
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3506672
Therefore, the GCF of Fractions 4809/368,5519/9529 is 1/3506672
Least Common Multiple of 368,9529 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 368,9529 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(368,9529) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(368,9529) x common factors =1 x 1 = 1
LCM(368,9529) = ( 368 × 9529 ) / 1
LCM(368,9529) = 3506672 / 1
LCM(368,9529) = 3506672
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4809/368, 5519/9529
1. What is the HCF of 4809,5519?
The HCF of 4809,5519 is 1
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 4809/368, 5519/9529?
Answer: GCF of Numerators as per given numbers 4809/368, 5519/9529 is
GCF of Numerators i.e. for 4809,5519 is 1
LCM of denominators i.e. for 368,9529 is 3506672.
Thus, GCF of Fractions is 1/3506672.Finally, GCF of Fractions for 4809/368, 5519/9529 is 1/3506672.