GCF of 2311/717, 8806/7431
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2311/717, 8806/7431 i.e 1/1776009 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2311/717, 8806/7431.
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 2311/717,8806/7431?
Given fractions are 2311/717,8806/7431
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 2311/717,8806/7431, numerators are 2311,8806
Denominators are 717,7431
The GCF of 2311,8806 is 1 .
LCM of 717,7431 is 1776009.
The greatest common factor of 2311/717,8806/7431 = [GCF of 2311,8806]/[LCM of 717,7431]= 1/1776009
Therefore, the GCF of 2311/717,8806/7431 is 1/1776009.
To find the highest common factor of 2311,8806, we have to find the factors of both numbers and list the highest common factor.
The factors of 2311 are 1, 2311
The factors of 8806 are 1, 2, 7, 14, 17, 34, 37, 74, 119, 238, 259, 518, 629, 1258, 4403, 8806
The HCF of 2311,8806 is 1.
Lets's calculate GCF of 2311,8806
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2311,8806 By Matching Biggest Common Factor Method
Now, list down the factors of 2311
:1,2311
Now, list down the factors of 8806
:1,2,7,14,17,34,37,74,119,238,259,518,629,1258,4403,8806
Greatest Common Factor
We found the factors 2311,8806 . The biggest common factor number is the GCF number.
So the greatest common factor 2311,8806 is 1.
Lets's calculate LCM of 717,7431
| 3 | 717, 7431 |
| 239, 2477 |
∴ So the LCM of the given numbers is 3 x 239 x 2477 = 1776009
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1776009
Therefore, the GCF of Fractions 2311/717,8806/7431 is 1/1776009
Least Common Multiple of 717,7431 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 717,7431 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(717,7431) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(717,7431) x common factors =3 x 1 = 3
LCM(717,7431) = ( 717 × 7431 ) / 3
LCM(717,7431) = 5328027 / 3
LCM(717,7431) = 1776009
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FAQs on GCF of Fractions of 2311/717, 8806/7431
1. What is the HCF of 2311,8806?
The HCF of 2311,8806 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 2311/717, 8806/7431?
Answer: GCF of Numerators as per given numbers 2311/717, 8806/7431 is
GCF of Numerators i.e. for 2311,8806 is 1
LCM of denominators i.e. for 717,7431 is 1776009.
Thus, GCF of Fractions is 1/1776009.Finally, GCF of Fractions for 2311/717, 8806/7431 is 1/1776009.