GCF of 4909/269, 7047/1828
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4909/269, 7047/1828 i.e 1/491732 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4909/269, 7047/1828.
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 4909/269,7047/1828?
Given fractions are 4909/269,7047/1828
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 4909/269,7047/1828, numerators are 4909,7047
Denominators are 269,1828
The GCF of 4909,7047 is 1 .
LCM of 269,1828 is 491732.
The greatest common factor of 4909/269,7047/1828 = [GCF of 4909,7047]/[LCM of 269,1828]= 1/491732
Therefore, the GCF of 4909/269,7047/1828 is 1/491732.
To find the highest common factor of 4909,7047, we have to find the factors of both numbers and list the highest common factor.
The factors of 4909 are 1, 4909
The factors of 7047 are 1, 3, 9, 27, 29, 81, 87, 243, 261, 783, 2349, 7047
The HCF of 4909,7047 is 1.
Lets's calculate GCF of 4909,7047
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4909,7047 By Matching Biggest Common Factor Method
Now, list down the factors of 4909
:1,4909
Now, list down the factors of 7047
:1,3,9,27,29,81,87,243,261,783,2349,7047
Greatest Common Factor
We found the factors 4909,7047 . The biggest common factor number is the GCF number.
So the greatest common factor 4909,7047 is 1.
Lets's calculate LCM of 269,1828
Given numbers has no common factors except 1. So, there LCM is their product i.e 491732
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/491732
Therefore, the GCF of Fractions 4909/269,7047/1828 is 1/491732
Least Common Multiple of 269,1828 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 269,1828 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(269,1828) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(269,1828) x common factors =1 x 1 = 1
LCM(269,1828) = ( 269 × 1828 ) / 1
LCM(269,1828) = 491732 / 1
LCM(269,1828) = 491732
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FAQs on GCF of Fractions of 4909/269, 7047/1828
1. What is the HCF of 4909,7047?
The HCF of 4909,7047 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 4909/269, 7047/1828?
Answer: GCF of Numerators as per given numbers 4909/269, 7047/1828 is
GCF of Numerators i.e. for 4909,7047 is 1
LCM of denominators i.e. for 269,1828 is 491732.
Thus, GCF of Fractions is 1/491732.Finally, GCF of Fractions for 4909/269, 7047/1828 is 1/491732.