GCF of 7308/128, 6832/8040
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7308/128, 6832/8040 i.e 28/128640 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7308/128, 6832/8040.
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 7308/128,6832/8040?
Given fractions are 7308/128,6832/8040
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 7308/128,6832/8040, numerators are 7308,6832
Denominators are 128,8040
The GCF of 7308,6832 is 28 .
LCM of 128,8040 is 128640.
The greatest common factor of 7308/128,6832/8040 = [GCF of 7308,6832]/[LCM of 128,8040]= 28/128640
Therefore, the GCF of 7308/128,6832/8040 is 28/128640.
To find the highest common factor of 7308,6832, we have to find the factors of both numbers and list the highest common factor.
The factors of 7308 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 29, 36, 42, 58, 63, 84, 87, 116, 126, 174, 203, 252, 261, 348, 406, 522, 609, 812, 1044, 1218, 1827, 2436, 3654, 7308
The factors of 6832 are 1, 2, 4, 7, 8, 14, 16, 28, 56, 61, 112, 122, 244, 427, 488, 854, 976, 1708, 3416, 6832
The HCF of 7308,6832 is 28.
Lets's calculate GCF of 7308,6832
| 2 | 7308, 6832 |
| 2 | 3654, 3416 |
| 7 | 1827, 1708 |
| 261, 244 |
∴ So the GCF of the given numbers is 2 x 2 x 7 = 28
Greatest Common Factor of 7308,6832 By Matching Biggest Common Factor Method
Now, list down the factors of 7308
:1,2,3,4,6,7,9,12,14,18,21,28,29,36,42,58,63,84,87,116,126,174,203,252,261,348,406,522,609,812,1044,1218,1827,2436,3654,7308
Now, list down the factors of 6832
:1,2,4,7,8,14,16,28,56,61,112,122,244,427,488,854,976,1708,3416,6832
Greatest Common Factor
We found the factors 7308,6832 . The biggest common factor number is the GCF number.
So the greatest common factor 7308,6832 is 28.
Lets's calculate LCM of 128,8040
| 2 | 128, 8040 |
| 2 | 64, 4020 |
| 2 | 32, 2010 |
| 16, 1005 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 16 x 1005 = 128640
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 28/128640
Therefore, the GCF of Fractions 7308/128,6832/8040 is 28/128640
Least Common Multiple of 128,8040 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 128,8040 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(128,8040) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(128,8040) x common factors =8 x 1 = 8
LCM(128,8040) = ( 128 × 8040 ) / 8
LCM(128,8040) = 1029120 / 8
LCM(128,8040) = 128640
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FAQs on GCF of Fractions of 7308/128, 6832/8040
1. What is the HCF of 7308,6832?
The HCF of 7308,6832 is 28
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 7308/128, 6832/8040?
Answer: GCF of Numerators as per given numbers 7308/128, 6832/8040 is
GCF of Numerators i.e. for 7308,6832 is 28
LCM of denominators i.e. for 128,8040 is 128640.
Thus, GCF of Fractions is 28/128640.Finally, GCF of Fractions for 7308/128, 6832/8040 is 28/128640.