GCF of 6704/339, 4656/3996
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6704/339, 4656/3996 i.e 16/451548 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6704/339, 4656/3996.
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 6704/339,4656/3996?
Given fractions are 6704/339,4656/3996
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 6704/339,4656/3996, numerators are 6704,4656
Denominators are 339,3996
The GCF of 6704,4656 is 16 .
LCM of 339,3996 is 451548.
The greatest common factor of 6704/339,4656/3996 = [GCF of 6704,4656]/[LCM of 339,3996]= 16/451548
Therefore, the GCF of 6704/339,4656/3996 is 16/451548.
To find the highest common factor of 6704,4656, we have to find the factors of both numbers and list the highest common factor.
The factors of 6704 are 1, 2, 4, 8, 16, 419, 838, 1676, 3352, 6704
The factors of 4656 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 97, 194, 291, 388, 582, 776, 1164, 1552, 2328, 4656
The HCF of 6704,4656 is 16.
Lets's calculate GCF of 6704,4656
| 2 | 6704, 4656 |
| 2 | 3352, 2328 |
| 2 | 1676, 1164 |
| 2 | 838, 582 |
| 419, 291 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Greatest Common Factor of 6704,4656 By Matching Biggest Common Factor Method
Now, list down the factors of 6704
:1,2,4,8,16,419,838,1676,3352,6704
Now, list down the factors of 4656
:1,2,3,4,6,8,12,16,24,48,97,194,291,388,582,776,1164,1552,2328,4656
Greatest Common Factor
We found the factors 6704,4656 . The biggest common factor number is the GCF number.
So the greatest common factor 6704,4656 is 16.
Lets's calculate LCM of 339,3996
| 3 | 339, 3996 |
| 113, 1332 |
∴ So the LCM of the given numbers is 3 x 113 x 1332 = 451548
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/451548
Therefore, the GCF of Fractions 6704/339,4656/3996 is 16/451548
Least Common Multiple of 339,3996 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 339,3996 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(339,3996) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(339,3996) x common factors =3 x 1 = 3
LCM(339,3996) = ( 339 × 3996 ) / 3
LCM(339,3996) = 1354644 / 3
LCM(339,3996) = 451548
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FAQs on GCF of Fractions of 6704/339, 4656/3996
1. What is the HCF of 6704,4656?
The HCF of 6704,4656 is 16
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 6704/339, 4656/3996?
Answer: GCF of Numerators as per given numbers 6704/339, 4656/3996 is
GCF of Numerators i.e. for 6704,4656 is 16
LCM of denominators i.e. for 339,3996 is 451548.
Thus, GCF of Fractions is 16/451548.Finally, GCF of Fractions for 6704/339, 4656/3996 is 16/451548.