GCF of 8491/518, 7241/8118
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8491/518, 7241/8118 i.e 1/2102562 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8491/518, 7241/8118.
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 8491/518,7241/8118?
Given fractions are 8491/518,7241/8118
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 8491/518,7241/8118, numerators are 8491,7241
Denominators are 518,8118
The GCF of 8491,7241 is 1 .
LCM of 518,8118 is 2102562.
The greatest common factor of 8491/518,7241/8118 = [GCF of 8491,7241]/[LCM of 518,8118]= 1/2102562
Therefore, the GCF of 8491/518,7241/8118 is 1/2102562.
To find the highest common factor of 8491,7241, we have to find the factors of both numbers and list the highest common factor.
The factors of 8491 are 1, 7, 1213, 8491
The factors of 7241 are 1, 13, 557, 7241
The HCF of 8491,7241 is 1.
Lets's calculate GCF of 8491,7241
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8491,7241 By Matching Biggest Common Factor Method
Now, list down the factors of 8491
:1,7,1213,8491
Now, list down the factors of 7241
:1,13,557,7241
Greatest Common Factor
We found the factors 8491,7241 . The biggest common factor number is the GCF number.
So the greatest common factor 8491,7241 is 1.
Lets's calculate LCM of 518,8118
| 2 | 518, 8118 |
| 259, 4059 |
∴ So the LCM of the given numbers is 2 x 259 x 4059 = 2102562
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2102562
Therefore, the GCF of Fractions 8491/518,7241/8118 is 1/2102562
Least Common Multiple of 518,8118 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 518,8118 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(518,8118) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(518,8118) x common factors =2 x 1 = 2
LCM(518,8118) = ( 518 × 8118 ) / 2
LCM(518,8118) = 4205124 / 2
LCM(518,8118) = 2102562
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FAQs on GCF of Fractions of 8491/518, 7241/8118
1. What is the HCF of 8491,7241?
The HCF of 8491,7241 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 8491/518, 7241/8118?
Answer: GCF of Numerators as per given numbers 8491/518, 7241/8118 is
GCF of Numerators i.e. for 8491,7241 is 1
LCM of denominators i.e. for 518,8118 is 2102562.
Thus, GCF of Fractions is 1/2102562.Finally, GCF of Fractions for 8491/518, 7241/8118 is 1/2102562.