GCF of 5513/186, 1648/241
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5513/186, 1648/241 i.e 1/44826 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5513/186, 1648/241.
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 5513/186,1648/241?
Given fractions are 5513/186,1648/241
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 5513/186,1648/241, numerators are 5513,1648
Denominators are 186,241
The GCF of 5513,1648 is 1 .
LCM of 186,241 is 44826.
The greatest common factor of 5513/186,1648/241 = [GCF of 5513,1648]/[LCM of 186,241]= 1/44826
Therefore, the GCF of 5513/186,1648/241 is 1/44826.
To find the highest common factor of 5513,1648, we have to find the factors of both numbers and list the highest common factor.
The factors of 5513 are 1, 37, 149, 5513
The factors of 1648 are 1, 2, 4, 8, 16, 103, 206, 412, 824, 1648
The HCF of 5513,1648 is 1.
Lets's calculate GCF of 5513,1648
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5513,1648 By Matching Biggest Common Factor Method
Now, list down the factors of 5513
:1,37,149,5513
Now, list down the factors of 1648
:1,2,4,8,16,103,206,412,824,1648
Greatest Common Factor
We found the factors 5513,1648 . The biggest common factor number is the GCF number.
So the greatest common factor 5513,1648 is 1.
Lets's calculate LCM of 186,241
Given numbers has no common factors except 1. So, there LCM is their product i.e 44826
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/44826
Therefore, the GCF of Fractions 5513/186,1648/241 is 1/44826
Least Common Multiple of 186,241 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 186,241 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(186,241) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(186,241) x common factors =1 x 1 = 1
LCM(186,241) = ( 186 × 241 ) / 1
LCM(186,241) = 44826 / 1
LCM(186,241) = 44826
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FAQs on GCF of Fractions of 5513/186, 1648/241
1. What is the HCF of 5513,1648?
The HCF of 5513,1648 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 5513/186, 1648/241?
Answer: GCF of Numerators as per given numbers 5513/186, 1648/241 is
GCF of Numerators i.e. for 5513,1648 is 1
LCM of denominators i.e. for 186,241 is 44826.
Thus, GCF of Fractions is 1/44826.Finally, GCF of Fractions for 5513/186, 1648/241 is 1/44826.