GCF of 7887/318, 8983/2809
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7887/318, 8983/2809 i.e 1/16854 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7887/318, 8983/2809.
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 7887/318,8983/2809?
Given fractions are 7887/318,8983/2809
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 7887/318,8983/2809, numerators are 7887,8983
Denominators are 318,2809
The GCF of 7887,8983 is 1 .
LCM of 318,2809 is 16854.
The greatest common factor of 7887/318,8983/2809 = [GCF of 7887,8983]/[LCM of 318,2809]= 1/16854
Therefore, the GCF of 7887/318,8983/2809 is 1/16854.
To find the highest common factor of 7887,8983, we have to find the factors of both numbers and list the highest common factor.
The factors of 7887 are 1, 3, 11, 33, 239, 717, 2629, 7887
The factors of 8983 are 1, 13, 691, 8983
The HCF of 7887,8983 is 1.
Lets's calculate GCF of 7887,8983
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7887,8983 By Matching Biggest Common Factor Method
Now, list down the factors of 7887
:1,3,11,33,239,717,2629,7887
Now, list down the factors of 8983
:1,13,691,8983
Greatest Common Factor
We found the factors 7887,8983 . The biggest common factor number is the GCF number.
So the greatest common factor 7887,8983 is 1.
Lets's calculate LCM of 318,2809
| 53 | 318, 2809 |
| 6, 53 |
∴ So the LCM of the given numbers is 53 x 6 x 53 = 16854
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16854
Therefore, the GCF of Fractions 7887/318,8983/2809 is 1/16854
Least Common Multiple of 318,2809 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 318,2809 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(318,2809) = 53
common factors(in case of two or more numbers have common factors) = 1
GCF(318,2809) x common factors =53 x 1 = 53
LCM(318,2809) = ( 318 × 2809 ) / 53
LCM(318,2809) = 893262 / 53
LCM(318,2809) = 16854
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FAQs on GCF of Fractions of 7887/318, 8983/2809
1. What is the HCF of 7887,8983?
The HCF of 7887,8983 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 7887/318, 8983/2809?
Answer: GCF of Numerators as per given numbers 7887/318, 8983/2809 is
GCF of Numerators i.e. for 7887,8983 is 1
LCM of denominators i.e. for 318,2809 is 16854.
Thus, GCF of Fractions is 1/16854.Finally, GCF of Fractions for 7887/318, 8983/2809 is 1/16854.