GCF of 3328/204, 7688/441
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3328/204, 7688/441 i.e 8/29988 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3328/204, 7688/441.
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 3328/204,7688/441?
Given fractions are 3328/204,7688/441
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 3328/204,7688/441, numerators are 3328,7688
Denominators are 204,441
The GCF of 3328,7688 is 8 .
LCM of 204,441 is 29988.
The greatest common factor of 3328/204,7688/441 = [GCF of 3328,7688]/[LCM of 204,441]= 8/29988
Therefore, the GCF of 3328/204,7688/441 is 8/29988.
To find the highest common factor of 3328,7688, we have to find the factors of both numbers and list the highest common factor.
The factors of 3328 are 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 128, 208, 256, 416, 832, 1664, 3328
The factors of 7688 are 1, 2, 4, 8, 31, 62, 124, 248, 961, 1922, 3844, 7688
The HCF of 3328,7688 is 8.
Lets's calculate GCF of 3328,7688
| 2 | 3328, 7688 |
| 2 | 1664, 3844 |
| 2 | 832, 1922 |
| 416, 961 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 3328,7688 By Matching Biggest Common Factor Method
Now, list down the factors of 3328
:1,2,4,8,13,16,26,32,52,64,104,128,208,256,416,832,1664,3328
Now, list down the factors of 7688
:1,2,4,8,31,62,124,248,961,1922,3844,7688
Greatest Common Factor
We found the factors 3328,7688 . The biggest common factor number is the GCF number.
So the greatest common factor 3328,7688 is 8.
Lets's calculate LCM of 204,441
| 3 | 204, 441 |
| 68, 147 |
∴ So the LCM of the given numbers is 3 x 68 x 147 = 29988
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/29988
Therefore, the GCF of Fractions 3328/204,7688/441 is 8/29988
Least Common Multiple of 204,441 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 204,441 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(204,441) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(204,441) x common factors =3 x 1 = 3
LCM(204,441) = ( 204 × 441 ) / 3
LCM(204,441) = 89964 / 3
LCM(204,441) = 29988
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FAQs on GCF of Fractions of 3328/204, 7688/441
1. What is the HCF of 3328,7688?
The HCF of 3328,7688 is 8
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 3328/204, 7688/441?
Answer: GCF of Numerators as per given numbers 3328/204, 7688/441 is
GCF of Numerators i.e. for 3328,7688 is 8
LCM of denominators i.e. for 204,441 is 29988.
Thus, GCF of Fractions is 8/29988.Finally, GCF of Fractions for 3328/204, 7688/441 is 8/29988.