GCF of 8003/582, 9078/9339
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8003/582, 9078/9339 i.e 1/1811766 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8003/582, 9078/9339.
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 8003/582,9078/9339?
Given fractions are 8003/582,9078/9339
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 8003/582,9078/9339, numerators are 8003,9078
Denominators are 582,9339
The GCF of 8003,9078 is 1 .
LCM of 582,9339 is 1811766.
The greatest common factor of 8003/582,9078/9339 = [GCF of 8003,9078]/[LCM of 582,9339]= 1/1811766
Therefore, the GCF of 8003/582,9078/9339 is 1/1811766.
To find the highest common factor of 8003,9078, we have to find the factors of both numbers and list the highest common factor.
The factors of 8003 are 1, 53, 151, 8003
The factors of 9078 are 1, 2, 3, 6, 17, 34, 51, 89, 102, 178, 267, 534, 1513, 3026, 4539, 9078
The HCF of 8003,9078 is 1.
Lets's calculate GCF of 8003,9078
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8003,9078 By Matching Biggest Common Factor Method
Now, list down the factors of 8003
:1,53,151,8003
Now, list down the factors of 9078
:1,2,3,6,17,34,51,89,102,178,267,534,1513,3026,4539,9078
Greatest Common Factor
We found the factors 8003,9078 . The biggest common factor number is the GCF number.
So the greatest common factor 8003,9078 is 1.
Lets's calculate LCM of 582,9339
| 3 | 582, 9339 |
| 194, 3113 |
∴ So the LCM of the given numbers is 3 x 194 x 3113 = 1811766
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1811766
Therefore, the GCF of Fractions 8003/582,9078/9339 is 1/1811766
Least Common Multiple of 582,9339 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 582,9339 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(582,9339) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(582,9339) x common factors =3 x 1 = 3
LCM(582,9339) = ( 582 × 9339 ) / 3
LCM(582,9339) = 5435298 / 3
LCM(582,9339) = 1811766
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FAQs on GCF of Fractions of 8003/582, 9078/9339
1. What is the HCF of 8003,9078?
The HCF of 8003,9078 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 8003/582, 9078/9339?
Answer: GCF of Numerators as per given numbers 8003/582, 9078/9339 is
GCF of Numerators i.e. for 8003,9078 is 1
LCM of denominators i.e. for 582,9339 is 1811766.
Thus, GCF of Fractions is 1/1811766.Finally, GCF of Fractions for 8003/582, 9078/9339 is 1/1811766.