GCF of 3168/591, 7280/3246
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3168/591, 7280/3246 i.e 16/639462 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3168/591, 7280/3246.
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 3168/591,7280/3246?
Given fractions are 3168/591,7280/3246
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 3168/591,7280/3246, numerators are 3168,7280
Denominators are 591,3246
The GCF of 3168,7280 is 16 .
LCM of 591,3246 is 639462.
The greatest common factor of 3168/591,7280/3246 = [GCF of 3168,7280]/[LCM of 591,3246]= 16/639462
Therefore, the GCF of 3168/591,7280/3246 is 16/639462.
To find the highest common factor of 3168,7280, we have to find the factors of both numbers and list the highest common factor.
The factors of 3168 are 1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 32, 33, 36, 44, 48, 66, 72, 88, 96, 99, 132, 144, 176, 198, 264, 288, 352, 396, 528, 792, 1056, 1584, 3168
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 HCF of 3168,7280 is 16.
Lets's calculate GCF of 3168,7280
| 2 | 3168, 7280 |
| 2 | 1584, 3640 |
| 2 | 792, 1820 |
| 2 | 396, 910 |
| 198, 455 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Greatest Common Factor of 3168,7280 By Matching Biggest Common Factor Method
Now, list down the factors of 3168
:1,2,3,4,6,8,9,11,12,16,18,22,24,32,33,36,44,48,66,72,88,96,99,132,144,176,198,264,288,352,396,528,792,1056,1584,3168
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
Greatest Common Factor
We found the factors 3168,7280 . The biggest common factor number is the GCF number.
So the greatest common factor 3168,7280 is 16.
Lets's calculate LCM of 591,3246
| 3 | 591, 3246 |
| 197, 1082 |
∴ So the LCM of the given numbers is 3 x 197 x 1082 = 639462
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/639462
Therefore, the GCF of Fractions 3168/591,7280/3246 is 16/639462
Least Common Multiple of 591,3246 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 591,3246 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(591,3246) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(591,3246) x common factors =3 x 1 = 3
LCM(591,3246) = ( 591 × 3246 ) / 3
LCM(591,3246) = 1918386 / 3
LCM(591,3246) = 639462
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FAQs on GCF of Fractions of 3168/591, 7280/3246
1. What is the HCF of 3168,7280?
The HCF of 3168,7280 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 3168/591, 7280/3246?
Answer: GCF of Numerators as per given numbers 3168/591, 7280/3246 is
GCF of Numerators i.e. for 3168,7280 is 16
LCM of denominators i.e. for 591,3246 is 639462.
Thus, GCF of Fractions is 16/639462.Finally, GCF of Fractions for 3168/591, 7280/3246 is 16/639462.