GCF of 6693/184, 8334/529
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6693/184, 8334/529 i.e 3/4232 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6693/184, 8334/529.
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 6693/184,8334/529?
Given fractions are 6693/184,8334/529
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 6693/184,8334/529, numerators are 6693,8334
Denominators are 184,529
The GCF of 6693,8334 is 3 .
LCM of 184,529 is 4232.
The greatest common factor of 6693/184,8334/529 = [GCF of 6693,8334]/[LCM of 184,529]= 3/4232
Therefore, the GCF of 6693/184,8334/529 is 3/4232.
To find the highest common factor of 6693,8334, we have to find the factors of both numbers and list the highest common factor.
The factors of 6693 are 1, 3, 23, 69, 97, 291, 2231, 6693
The factors of 8334 are 1, 2, 3, 6, 9, 18, 463, 926, 1389, 2778, 4167, 8334
The HCF of 6693,8334 is 3.
Lets's calculate GCF of 6693,8334
| 3 | 6693, 8334 |
| 2231, 2778 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 6693,8334 By Matching Biggest Common Factor Method
Now, list down the factors of 6693
:1,3,23,69,97,291,2231,6693
Now, list down the factors of 8334
:1,2,3,6,9,18,463,926,1389,2778,4167,8334
Greatest Common Factor
We found the factors 6693,8334 . The biggest common factor number is the GCF number.
So the greatest common factor 6693,8334 is 3.
Lets's calculate LCM of 184,529
| 23 | 184, 529 |
| 8, 23 |
∴ So the LCM of the given numbers is 23 x 8 x 23 = 4232
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/4232
Therefore, the GCF of Fractions 6693/184,8334/529 is 3/4232
Least Common Multiple of 184,529 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 184,529 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(184,529) = 23
common factors(in case of two or more numbers have common factors) = 1
GCF(184,529) x common factors =23 x 1 = 23
LCM(184,529) = ( 184 × 529 ) / 23
LCM(184,529) = 97336 / 23
LCM(184,529) = 4232
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FAQs on GCF of Fractions of 6693/184, 8334/529
1. What is the HCF of 6693,8334?
The HCF of 6693,8334 is 3
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 6693/184, 8334/529?
Answer: GCF of Numerators as per given numbers 6693/184, 8334/529 is
GCF of Numerators i.e. for 6693,8334 is 3
LCM of denominators i.e. for 184,529 is 4232.
Thus, GCF of Fractions is 3/4232.Finally, GCF of Fractions for 6693/184, 8334/529 is 3/4232.