GCF of 7280/328, 6016/8124
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7280/328, 6016/8124 i.e 16/666168 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7280/328, 6016/8124.
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 7280/328,6016/8124?
Given fractions are 7280/328,6016/8124
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 7280/328,6016/8124, numerators are 7280,6016
Denominators are 328,8124
The GCF of 7280,6016 is 16 .
LCM of 328,8124 is 666168.
The greatest common factor of 7280/328,6016/8124 = [GCF of 7280,6016]/[LCM of 328,8124]= 16/666168
Therefore, the GCF of 7280/328,6016/8124 is 16/666168.
To find the highest common factor of 7280,6016, we have to find the factors of both numbers and list the highest common factor.
The factors of 7280 are 1, 2, 4, 5, 7, 8, 10, 13, 14, 16, 20, 26, 28, 35, 40, 52, 56, 65, 70, 80, 91, 104, 112, 130, 140, 182, 208, 260, 280, 364, 455, 520, 560, 728, 910, 1040, 1456, 1820, 3640, 7280
The factors of 6016 are 1, 2, 4, 8, 16, 32, 47, 64, 94, 128, 188, 376, 752, 1504, 3008, 6016
The HCF of 7280,6016 is 16.
Lets's calculate GCF of 7280,6016
| 2 | 7280, 6016 |
| 2 | 3640, 3008 |
| 2 | 1820, 1504 |
| 2 | 910, 752 |
| 455, 376 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Greatest Common Factor of 7280,6016 By Matching Biggest Common Factor Method
Now, list down the factors of 7280
:1,2,4,5,7,8,10,13,14,16,20,26,28,35,40,52,56,65,70,80,91,104,112,130,140,182,208,260,280,364,455,520,560,728,910,1040,1456,1820,3640,7280
Now, list down the factors of 6016
:1,2,4,8,16,32,47,64,94,128,188,376,752,1504,3008,6016
Greatest Common Factor
We found the factors 7280,6016 . The biggest common factor number is the GCF number.
So the greatest common factor 7280,6016 is 16.
Lets's calculate LCM of 328,8124
| 2 | 328, 8124 |
| 2 | 164, 4062 |
| 82, 2031 |
∴ So the LCM of the given numbers is 2 x 2 x 82 x 2031 = 666168
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/666168
Therefore, the GCF of Fractions 7280/328,6016/8124 is 16/666168
Least Common Multiple of 328,8124 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 328,8124 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(328,8124) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(328,8124) x common factors =4 x 1 = 4
LCM(328,8124) = ( 328 × 8124 ) / 4
LCM(328,8124) = 2664672 / 4
LCM(328,8124) = 666168
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FAQs on GCF of Fractions of 7280/328, 6016/8124
1. What is the HCF of 7280,6016?
The HCF of 7280,6016 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 7280/328, 6016/8124?
Answer: GCF of Numerators as per given numbers 7280/328, 6016/8124 is
GCF of Numerators i.e. for 7280,6016 is 16
LCM of denominators i.e. for 328,8124 is 666168.
Thus, GCF of Fractions is 16/666168.Finally, GCF of Fractions for 7280/328, 6016/8124 is 16/666168.