GCF of 5788/258, 1601/193
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5788/258, 1601/193 i.e 1/49794 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5788/258, 1601/193.
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 5788/258,1601/193?
Given fractions are 5788/258,1601/193
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 5788/258,1601/193, numerators are 5788,1601
Denominators are 258,193
The GCF of 5788,1601 is 1 .
LCM of 258,193 is 49794.
The greatest common factor of 5788/258,1601/193 = [GCF of 5788,1601]/[LCM of 258,193]= 1/49794
Therefore, the GCF of 5788/258,1601/193 is 1/49794.
To find the highest common factor of 5788,1601, we have to find the factors of both numbers and list the highest common factor.
The factors of 5788 are 1, 2, 4, 1447, 2894, 5788
The factors of 1601 are 1, 1601
The HCF of 5788,1601 is 1.
Lets's calculate GCF of 5788,1601
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5788,1601 By Matching Biggest Common Factor Method
Now, list down the factors of 5788
:1,2,4,1447,2894,5788
Now, list down the factors of 1601
:1,1601
Greatest Common Factor
We found the factors 5788,1601 . The biggest common factor number is the GCF number.
So the greatest common factor 5788,1601 is 1.
Lets's calculate LCM of 258,193
Given numbers has no common factors except 1. So, there LCM is their product i.e 49794
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/49794
Therefore, the GCF of Fractions 5788/258,1601/193 is 1/49794
Least Common Multiple of 258,193 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 258,193 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(258,193) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(258,193) x common factors =1 x 1 = 1
LCM(258,193) = ( 258 × 193 ) / 1
LCM(258,193) = 49794 / 1
LCM(258,193) = 49794
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FAQs on GCF of Fractions of 5788/258, 1601/193
1. What is the HCF of 5788,1601?
The HCF of 5788,1601 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 5788/258, 1601/193?
Answer: GCF of Numerators as per given numbers 5788/258, 1601/193 is
GCF of Numerators i.e. for 5788,1601 is 1
LCM of denominators i.e. for 258,193 is 49794.
Thus, GCF of Fractions is 1/49794.Finally, GCF of Fractions for 5788/258, 1601/193 is 1/49794.