GCF of 9018/498, 7291/9680
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9018/498, 7291/9680 i.e 1/2410320 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9018/498, 7291/9680.
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 9018/498,7291/9680?
Given fractions are 9018/498,7291/9680
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 9018/498,7291/9680, numerators are 9018,7291
Denominators are 498,9680
The GCF of 9018,7291 is 1 .
LCM of 498,9680 is 2410320.
The greatest common factor of 9018/498,7291/9680 = [GCF of 9018,7291]/[LCM of 498,9680]= 1/2410320
Therefore, the GCF of 9018/498,7291/9680 is 1/2410320.
To find the highest common factor of 9018,7291, we have to find the factors of both numbers and list the highest common factor.
The factors of 9018 are 1, 2, 3, 6, 9, 18, 27, 54, 167, 334, 501, 1002, 1503, 3006, 4509, 9018
The factors of 7291 are 1, 23, 317, 7291
The HCF of 9018,7291 is 1.
Lets's calculate GCF of 9018,7291
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9018,7291 By Matching Biggest Common Factor Method
Now, list down the factors of 9018
:1,2,3,6,9,18,27,54,167,334,501,1002,1503,3006,4509,9018
Now, list down the factors of 7291
:1,23,317,7291
Greatest Common Factor
We found the factors 9018,7291 . The biggest common factor number is the GCF number.
So the greatest common factor 9018,7291 is 1.
Lets's calculate LCM of 498,9680
| 2 | 498, 9680 |
| 249, 4840 |
∴ So the LCM of the given numbers is 2 x 249 x 4840 = 2410320
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2410320
Therefore, the GCF of Fractions 9018/498,7291/9680 is 1/2410320
Least Common Multiple of 498,9680 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 498,9680 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(498,9680) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(498,9680) x common factors =2 x 1 = 2
LCM(498,9680) = ( 498 × 9680 ) / 2
LCM(498,9680) = 4820640 / 2
LCM(498,9680) = 2410320
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FAQs on GCF of Fractions of 9018/498, 7291/9680
1. What is the HCF of 9018,7291?
The HCF of 9018,7291 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 9018/498, 7291/9680?
Answer: GCF of Numerators as per given numbers 9018/498, 7291/9680 is
GCF of Numerators i.e. for 9018,7291 is 1
LCM of denominators i.e. for 498,9680 is 2410320.
Thus, GCF of Fractions is 1/2410320.Finally, GCF of Fractions for 9018/498, 7291/9680 is 1/2410320.