GCF of 5228/313, 5853/7732
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5228/313, 5853/7732 i.e 1/2420116 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5228/313, 5853/7732.
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 5228/313,5853/7732?
Given fractions are 5228/313,5853/7732
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 5228/313,5853/7732, numerators are 5228,5853
Denominators are 313,7732
The GCF of 5228,5853 is 1 .
LCM of 313,7732 is 2420116.
The greatest common factor of 5228/313,5853/7732 = [GCF of 5228,5853]/[LCM of 313,7732]= 1/2420116
Therefore, the GCF of 5228/313,5853/7732 is 1/2420116.
To find the highest common factor of 5228,5853, we have to find the factors of both numbers and list the highest common factor.
The factors of 5228 are 1, 2, 4, 1307, 2614, 5228
The factors of 5853 are 1, 3, 1951, 5853
The HCF of 5228,5853 is 1.
Lets's calculate GCF of 5228,5853
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5228,5853 By Matching Biggest Common Factor Method
Now, list down the factors of 5228
:1,2,4,1307,2614,5228
Now, list down the factors of 5853
:1,3,1951,5853
Greatest Common Factor
We found the factors 5228,5853 . The biggest common factor number is the GCF number.
So the greatest common factor 5228,5853 is 1.
Lets's calculate LCM of 313,7732
Given numbers has no common factors except 1. So, there LCM is their product i.e 2420116
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2420116
Therefore, the GCF of Fractions 5228/313,5853/7732 is 1/2420116
Least Common Multiple of 313,7732 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 313,7732 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(313,7732) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(313,7732) x common factors =1 x 1 = 1
LCM(313,7732) = ( 313 × 7732 ) / 1
LCM(313,7732) = 2420116 / 1
LCM(313,7732) = 2420116
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FAQs on GCF of Fractions of 5228/313, 5853/7732
1. What is the HCF of 5228,5853?
The HCF of 5228,5853 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 5228/313, 5853/7732?
Answer: GCF of Numerators as per given numbers 5228/313, 5853/7732 is
GCF of Numerators i.e. for 5228,5853 is 1
LCM of denominators i.e. for 313,7732 is 2420116.
Thus, GCF of Fractions is 1/2420116.Finally, GCF of Fractions for 5228/313, 5853/7732 is 1/2420116.