GCF of 8568/738, 2016/9429
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8568/738, 2016/9429 i.e 504/2319534 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8568/738, 2016/9429.
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 8568/738,2016/9429?
Given fractions are 8568/738,2016/9429
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 8568/738,2016/9429, numerators are 8568,2016
Denominators are 738,9429
The GCF of 8568,2016 is 504 .
LCM of 738,9429 is 2319534.
The greatest common factor of 8568/738,2016/9429 = [GCF of 8568,2016]/[LCM of 738,9429]= 504/2319534
Therefore, the GCF of 8568/738,2016/9429 is 504/2319534.
To find the highest common factor of 8568,2016, we have to find the factors of both numbers and list the highest common factor.
The factors of 8568 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 17, 18, 21, 24, 28, 34, 36, 42, 51, 56, 63, 68, 72, 84, 102, 119, 126, 136, 153, 168, 204, 238, 252, 306, 357, 408, 476, 504, 612, 714, 952, 1071, 1224, 1428, 2142, 2856, 4284, 8568
The factors of 2016 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 32, 36, 42, 48, 56, 63, 72, 84, 96, 112, 126, 144, 168, 224, 252, 288, 336, 504, 672, 1008, 2016
The HCF of 8568,2016 is 504.
Lets's calculate GCF of 8568,2016
| 2 | 8568, 2016 |
| 2 | 4284, 1008 |
| 2 | 2142, 504 |
| 3 | 1071, 252 |
| 3 | 357, 84 |
| 7 | 119, 28 |
| 17, 4 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 x 3 x 7 = 504
Greatest Common Factor of 8568,2016 By Matching Biggest Common Factor Method
Now, list down the factors of 8568
:1,2,3,4,6,7,8,9,12,14,17,18,21,24,28,34,36,42,51,56,63,68,72,84,102,119,126,136,153,168,204,238,252,306,357,408,476,504,612,714,952,1071,1224,1428,2142,2856,4284,8568
Now, list down the factors of 2016
:1,2,3,4,6,7,8,9,12,14,16,18,21,24,28,32,36,42,48,56,63,72,84,96,112,126,144,168,224,252,288,336,504,672,1008,2016
Greatest Common Factor
We found the factors 8568,2016 . The biggest common factor number is the GCF number.
So the greatest common factor 8568,2016 is 504.
Lets's calculate LCM of 738,9429
| 3 | 738, 9429 |
| 246, 3143 |
∴ So the LCM of the given numbers is 3 x 246 x 3143 = 2319534
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 504/2319534
Therefore, the GCF of Fractions 8568/738,2016/9429 is 504/2319534
Least Common Multiple of 738,9429 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 738,9429 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(738,9429) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(738,9429) x common factors =3 x 1 = 3
LCM(738,9429) = ( 738 × 9429 ) / 3
LCM(738,9429) = 6958602 / 3
LCM(738,9429) = 2319534
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FAQs on GCF of Fractions of 8568/738, 2016/9429
1. What is the HCF of 8568,2016?
The HCF of 8568,2016 is 504
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 8568/738, 2016/9429?
Answer: GCF of Numerators as per given numbers 8568/738, 2016/9429 is
GCF of Numerators i.e. for 8568,2016 is 504
LCM of denominators i.e. for 738,9429 is 2319534.
Thus, GCF of Fractions is 504/2319534.Finally, GCF of Fractions for 8568/738, 2016/9429 is 504/2319534.