GCF of 8568/829, 5655/6649
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8568/829, 5655/6649 i.e 3/5512021 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8568/829, 5655/6649.
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 8568/829,5655/6649?
Given fractions are 8568/829,5655/6649
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 8568/829,5655/6649, numerators are 8568,5655
Denominators are 829,6649
The GCF of 8568,5655 is 3 .
LCM of 829,6649 is 5512021.
The greatest common factor of 8568/829,5655/6649 = [GCF of 8568,5655]/[LCM of 829,6649]= 3/5512021
Therefore, the GCF of 8568/829,5655/6649 is 3/5512021.
To find the highest common factor of 8568,5655, 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 5655 are 1, 3, 5, 13, 15, 29, 39, 65, 87, 145, 195, 377, 435, 1131, 1885, 5655
The HCF of 8568,5655 is 3.
Lets's calculate GCF of 8568,5655
| 3 | 8568, 5655 |
| 2856, 1885 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8568,5655 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 5655
:1,3,5,13,15,29,39,65,87,145,195,377,435,1131,1885,5655
Greatest Common Factor
We found the factors 8568,5655 . The biggest common factor number is the GCF number.
So the greatest common factor 8568,5655 is 3.
Lets's calculate LCM of 829,6649
Given numbers has no common factors except 1. So, there LCM is their product i.e 5512021
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/5512021
Therefore, the GCF of Fractions 8568/829,5655/6649 is 3/5512021
Least Common Multiple of 829,6649 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 829,6649 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(829,6649) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(829,6649) x common factors =1 x 1 = 1
LCM(829,6649) = ( 829 × 6649 ) / 1
LCM(829,6649) = 5512021 / 1
LCM(829,6649) = 5512021
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 8568/829, 5655/6649
1. What is the HCF of 8568,5655?
The HCF of 8568,5655 is 3
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 8568/829, 5655/6649?
Answer: GCF of Numerators as per given numbers 8568/829, 5655/6649 is
GCF of Numerators i.e. for 8568,5655 is 3
LCM of denominators i.e. for 829,6649 is 5512021.
Thus, GCF of Fractions is 3/5512021.Finally, GCF of Fractions for 8568/829, 5655/6649 is 3/5512021.