GCF of 8782/806, 9165/9584
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8782/806, 9165/9584 i.e 1/3862352 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8782/806, 9165/9584.
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 8782/806,9165/9584?
Given fractions are 8782/806,9165/9584
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 8782/806,9165/9584, numerators are 8782,9165
Denominators are 806,9584
The GCF of 8782,9165 is 1 .
LCM of 806,9584 is 3862352.
The greatest common factor of 8782/806,9165/9584 = [GCF of 8782,9165]/[LCM of 806,9584]= 1/3862352
Therefore, the GCF of 8782/806,9165/9584 is 1/3862352.
To find the highest common factor of 8782,9165, we have to find the factors of both numbers and list the highest common factor.
The factors of 8782 are 1, 2, 4391, 8782
The factors of 9165 are 1, 3, 5, 13, 15, 39, 47, 65, 141, 195, 235, 611, 705, 1833, 3055, 9165
The HCF of 8782,9165 is 1.
Lets's calculate GCF of 8782,9165
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8782,9165 By Matching Biggest Common Factor Method
Now, list down the factors of 8782
:1,2,4391,8782
Now, list down the factors of 9165
:1,3,5,13,15,39,47,65,141,195,235,611,705,1833,3055,9165
Greatest Common Factor
We found the factors 8782,9165 . The biggest common factor number is the GCF number.
So the greatest common factor 8782,9165 is 1.
Lets's calculate LCM of 806,9584
| 2 | 806, 9584 |
| 403, 4792 |
∴ So the LCM of the given numbers is 2 x 403 x 4792 = 3862352
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3862352
Therefore, the GCF of Fractions 8782/806,9165/9584 is 1/3862352
Least Common Multiple of 806,9584 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 806,9584 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(806,9584) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(806,9584) x common factors =2 x 1 = 2
LCM(806,9584) = ( 806 × 9584 ) / 2
LCM(806,9584) = 7724704 / 2
LCM(806,9584) = 3862352
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FAQs on GCF of Fractions of 8782/806, 9165/9584
1. What is the HCF of 8782,9165?
The HCF of 8782,9165 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 8782/806, 9165/9584?
Answer: GCF of Numerators as per given numbers 8782/806, 9165/9584 is
GCF of Numerators i.e. for 8782,9165 is 1
LCM of denominators i.e. for 806,9584 is 3862352.
Thus, GCF of Fractions is 1/3862352.Finally, GCF of Fractions for 8782/806, 9165/9584 is 1/3862352.