GCF of 613/438, 513/199
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 613/438, 513/199 i.e 1/87162 easily. The following is the detailed procedure to determine the greatest common factor of fractions 613/438, 513/199.
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 613/438,513/199?
Given fractions are 613/438,513/199
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 613/438,513/199, numerators are 613,513
Denominators are 438,199
The GCF of 613,513 is 1 .
LCM of 438,199 is 87162.
The greatest common factor of 613/438,513/199 = [GCF of 613,513]/[LCM of 438,199]= 1/87162
Therefore, the GCF of 613/438,513/199 is 1/87162.
To find the highest common factor of 613,513, we have to find the factors of both numbers and list the highest common factor.
The factors of 613 are 1, 613
The factors of 513 are 1, 3, 9, 19, 27, 57, 171, 513
The HCF of 613,513 is 1.
Lets's calculate GCF of 613,513
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 613,513 By Matching Biggest Common Factor Method
Now, list down the factors of 613
:1,613
Now, list down the factors of 513
:1,3,9,19,27,57,171,513
Greatest Common Factor
We found the factors 613,513 . The biggest common factor number is the GCF number.
So the greatest common factor 613,513 is 1.
Lets's calculate LCM of 438,199
Given numbers has no common factors except 1. So, there LCM is their product i.e 87162
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/87162
Therefore, the GCF of Fractions 613/438,513/199 is 1/87162
Least Common Multiple of 438,199 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 438,199 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(438,199) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(438,199) x common factors =1 x 1 = 1
LCM(438,199) = ( 438 × 199 ) / 1
LCM(438,199) = 87162 / 1
LCM(438,199) = 87162
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FAQs on GCF of Fractions of 613/438, 513/199
1. What is the HCF of 613,513?
The HCF of 613,513 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 613/438, 513/199?
Answer: GCF of Numerators as per given numbers 613/438, 513/199 is
GCF of Numerators i.e. for 613,513 is 1
LCM of denominators i.e. for 438,199 is 87162.
Thus, GCF of Fractions is 1/87162.Finally, GCF of Fractions for 613/438, 513/199 is 1/87162.