GCF of 8516/258, 1241/3368
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8516/258, 1241/3368 i.e 1/434472 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8516/258, 1241/3368.
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 8516/258,1241/3368?
Given fractions are 8516/258,1241/3368
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 8516/258,1241/3368, numerators are 8516,1241
Denominators are 258,3368
The GCF of 8516,1241 is 1 .
LCM of 258,3368 is 434472.
The greatest common factor of 8516/258,1241/3368 = [GCF of 8516,1241]/[LCM of 258,3368]= 1/434472
Therefore, the GCF of 8516/258,1241/3368 is 1/434472.
To find the highest common factor of 8516,1241, we have to find the factors of both numbers and list the highest common factor.
The factors of 8516 are 1, 2, 4, 2129, 4258, 8516
The factors of 1241 are 1, 17, 73, 1241
The HCF of 8516,1241 is 1.
Lets's calculate GCF of 8516,1241
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8516,1241 By Matching Biggest Common Factor Method
Now, list down the factors of 8516
:1,2,4,2129,4258,8516
Now, list down the factors of 1241
:1,17,73,1241
Greatest Common Factor
We found the factors 8516,1241 . The biggest common factor number is the GCF number.
So the greatest common factor 8516,1241 is 1.
Lets's calculate LCM of 258,3368
| 2 | 258, 3368 |
| 129, 1684 |
∴ So the LCM of the given numbers is 2 x 129 x 1684 = 434472
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/434472
Therefore, the GCF of Fractions 8516/258,1241/3368 is 1/434472
Least Common Multiple of 258,3368 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 258,3368 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(258,3368) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(258,3368) x common factors =2 x 1 = 2
LCM(258,3368) = ( 258 × 3368 ) / 2
LCM(258,3368) = 868944 / 2
LCM(258,3368) = 434472
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FAQs on GCF of Fractions of 8516/258, 1241/3368
1. What is the HCF of 8516,1241?
The HCF of 8516,1241 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 8516/258, 1241/3368?
Answer: GCF of Numerators as per given numbers 8516/258, 1241/3368 is
GCF of Numerators i.e. for 8516,1241 is 1
LCM of denominators i.e. for 258,3368 is 434472.
Thus, GCF of Fractions is 1/434472.Finally, GCF of Fractions for 8516/258, 1241/3368 is 1/434472.