GCF of 5305/808, 8199/310
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5305/808, 8199/310 i.e 1/125240 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5305/808, 8199/310.
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 5305/808,8199/310?
Given fractions are 5305/808,8199/310
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 5305/808,8199/310, numerators are 5305,8199
Denominators are 808,310
The GCF of 5305,8199 is 1 .
LCM of 808,310 is 125240.
The greatest common factor of 5305/808,8199/310 = [GCF of 5305,8199]/[LCM of 808,310]= 1/125240
Therefore, the GCF of 5305/808,8199/310 is 1/125240.
To find the highest common factor of 5305,8199, we have to find the factors of both numbers and list the highest common factor.
The factors of 5305 are 1, 5, 1061, 5305
The factors of 8199 are 1, 3, 9, 911, 2733, 8199
The HCF of 5305,8199 is 1.
Lets's calculate GCF of 5305,8199
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5305,8199 By Matching Biggest Common Factor Method
Now, list down the factors of 5305
:1,5,1061,5305
Now, list down the factors of 8199
:1,3,9,911,2733,8199
Greatest Common Factor
We found the factors 5305,8199 . The biggest common factor number is the GCF number.
So the greatest common factor 5305,8199 is 1.
Lets's calculate LCM of 808,310
| 2 | 808, 310 |
| 404, 155 |
∴ So the LCM of the given numbers is 2 x 404 x 155 = 125240
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/125240
Therefore, the GCF of Fractions 5305/808,8199/310 is 1/125240
Least Common Multiple of 808,310 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 808,310 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(808,310) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(808,310) x common factors =2 x 1 = 2
LCM(808,310) = ( 808 × 310 ) / 2
LCM(808,310) = 250480 / 2
LCM(808,310) = 125240
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FAQs on GCF of Fractions of 5305/808, 8199/310
1. What is the HCF of 5305,8199?
The HCF of 5305,8199 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 5305/808, 8199/310?
Answer: GCF of Numerators as per given numbers 5305/808, 8199/310 is
GCF of Numerators i.e. for 5305,8199 is 1
LCM of denominators i.e. for 808,310 is 125240.
Thus, GCF of Fractions is 1/125240.Finally, GCF of Fractions for 5305/808, 8199/310 is 1/125240.