GCF of 5093/335, 6183/1631
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5093/335, 6183/1631 i.e 1/546385 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5093/335, 6183/1631.
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 5093/335,6183/1631?
Given fractions are 5093/335,6183/1631
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 5093/335,6183/1631, numerators are 5093,6183
Denominators are 335,1631
The GCF of 5093,6183 is 1 .
LCM of 335,1631 is 546385.
The greatest common factor of 5093/335,6183/1631 = [GCF of 5093,6183]/[LCM of 335,1631]= 1/546385
Therefore, the GCF of 5093/335,6183/1631 is 1/546385.
To find the highest common factor of 5093,6183, we have to find the factors of both numbers and list the highest common factor.
The factors of 5093 are 1, 11, 463, 5093
The factors of 6183 are 1, 3, 9, 27, 229, 687, 2061, 6183
The HCF of 5093,6183 is 1.
Lets's calculate GCF of 5093,6183
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5093,6183 By Matching Biggest Common Factor Method
Now, list down the factors of 5093
:1,11,463,5093
Now, list down the factors of 6183
:1,3,9,27,229,687,2061,6183
Greatest Common Factor
We found the factors 5093,6183 . The biggest common factor number is the GCF number.
So the greatest common factor 5093,6183 is 1.
Lets's calculate LCM of 335,1631
Given numbers has no common factors except 1. So, there LCM is their product i.e 546385
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/546385
Therefore, the GCF of Fractions 5093/335,6183/1631 is 1/546385
Least Common Multiple of 335,1631 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 335,1631 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(335,1631) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(335,1631) x common factors =1 x 1 = 1
LCM(335,1631) = ( 335 × 1631 ) / 1
LCM(335,1631) = 546385 / 1
LCM(335,1631) = 546385
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FAQs on GCF of Fractions of 5093/335, 6183/1631
1. What is the HCF of 5093,6183?
The HCF of 5093,6183 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 5093/335, 6183/1631?
Answer: GCF of Numerators as per given numbers 5093/335, 6183/1631 is
GCF of Numerators i.e. for 5093,6183 is 1
LCM of denominators i.e. for 335,1631 is 546385.
Thus, GCF of Fractions is 1/546385.Finally, GCF of Fractions for 5093/335, 6183/1631 is 1/546385.