GCF of 6579/234, 3094/7334
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6579/234, 3094/7334 i.e 17/858078 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6579/234, 3094/7334.
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 6579/234,3094/7334?
Given fractions are 6579/234,3094/7334
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 6579/234,3094/7334, numerators are 6579,3094
Denominators are 234,7334
The GCF of 6579,3094 is 17 .
LCM of 234,7334 is 858078.
The greatest common factor of 6579/234,3094/7334 = [GCF of 6579,3094]/[LCM of 234,7334]= 17/858078
Therefore, the GCF of 6579/234,3094/7334 is 17/858078.
To find the highest common factor of 6579,3094, we have to find the factors of both numbers and list the highest common factor.
The factors of 6579 are 1, 3, 9, 17, 43, 51, 129, 153, 387, 731, 2193, 6579
The factors of 3094 are 1, 2, 7, 13, 14, 17, 26, 34, 91, 119, 182, 221, 238, 442, 1547, 3094
The HCF of 6579,3094 is 17.
Lets's calculate GCF of 6579,3094
| 17 | 6579, 3094 |
| 387, 182 |
∴ So the GCF of the given numbers is 17 = 17
Greatest Common Factor of 6579,3094 By Matching Biggest Common Factor Method
Now, list down the factors of 6579
:1,3,9,17,43,51,129,153,387,731,2193,6579
Now, list down the factors of 3094
:1,2,7,13,14,17,26,34,91,119,182,221,238,442,1547,3094
Greatest Common Factor
We found the factors 6579,3094 . The biggest common factor number is the GCF number.
So the greatest common factor 6579,3094 is 17.
Lets's calculate LCM of 234,7334
| 2 | 234, 7334 |
| 117, 3667 |
∴ So the LCM of the given numbers is 2 x 117 x 3667 = 858078
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/858078
Therefore, the GCF of Fractions 6579/234,3094/7334 is 17/858078
Least Common Multiple of 234,7334 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 234,7334 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(234,7334) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(234,7334) x common factors =2 x 1 = 2
LCM(234,7334) = ( 234 × 7334 ) / 2
LCM(234,7334) = 1716156 / 2
LCM(234,7334) = 858078
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FAQs on GCF of Fractions of 6579/234, 3094/7334
1. What is the HCF of 6579,3094?
The HCF of 6579,3094 is 17
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 6579/234, 3094/7334?
Answer: GCF of Numerators as per given numbers 6579/234, 3094/7334 is
GCF of Numerators i.e. for 6579,3094 is 17
LCM of denominators i.e. for 234,7334 is 858078.
Thus, GCF of Fractions is 17/858078.Finally, GCF of Fractions for 6579/234, 3094/7334 is 17/858078.