GCF of 9334/204, 7259/1881
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9334/204, 7259/1881 i.e 1/127908 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9334/204, 7259/1881.
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 9334/204,7259/1881?
Given fractions are 9334/204,7259/1881
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 9334/204,7259/1881, numerators are 9334,7259
Denominators are 204,1881
The GCF of 9334,7259 is 1 .
LCM of 204,1881 is 127908.
The greatest common factor of 9334/204,7259/1881 = [GCF of 9334,7259]/[LCM of 204,1881]= 1/127908
Therefore, the GCF of 9334/204,7259/1881 is 1/127908.
To find the highest common factor of 9334,7259, we have to find the factors of both numbers and list the highest common factor.
The factors of 9334 are 1, 2, 13, 26, 359, 718, 4667, 9334
The factors of 7259 are 1, 7, 17, 61, 119, 427, 1037, 7259
The HCF of 9334,7259 is 1.
Lets's calculate GCF of 9334,7259
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9334,7259 By Matching Biggest Common Factor Method
Now, list down the factors of 9334
:1,2,13,26,359,718,4667,9334
Now, list down the factors of 7259
:1,7,17,61,119,427,1037,7259
Greatest Common Factor
We found the factors 9334,7259 . The biggest common factor number is the GCF number.
So the greatest common factor 9334,7259 is 1.
Lets's calculate LCM of 204,1881
| 3 | 204, 1881 |
| 68, 627 |
∴ So the LCM of the given numbers is 3 x 68 x 627 = 127908
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/127908
Therefore, the GCF of Fractions 9334/204,7259/1881 is 1/127908
Least Common Multiple of 204,1881 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 204,1881 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(204,1881) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(204,1881) x common factors =3 x 1 = 3
LCM(204,1881) = ( 204 × 1881 ) / 3
LCM(204,1881) = 383724 / 3
LCM(204,1881) = 127908
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FAQs on GCF of Fractions of 9334/204, 7259/1881
1. What is the HCF of 9334,7259?
The HCF of 9334,7259 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 9334/204, 7259/1881?
Answer: GCF of Numerators as per given numbers 9334/204, 7259/1881 is
GCF of Numerators i.e. for 9334,7259 is 1
LCM of denominators i.e. for 204,1881 is 127908.
Thus, GCF of Fractions is 1/127908.Finally, GCF of Fractions for 9334/204, 7259/1881 is 1/127908.