GCF of 8568/30, 8505/108
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8568/30, 8505/108 i.e 63/540 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8568/30, 8505/108.
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 8568/30,8505/108?
Given fractions are 8568/30,8505/108
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 8568/30,8505/108, numerators are 8568,8505
Denominators are 30,108
The GCF of 8568,8505 is 63 .
LCM of 30,108 is 540.
The greatest common factor of 8568/30,8505/108 = [GCF of 8568,8505]/[LCM of 30,108]= 63/540
Therefore, the GCF of 8568/30,8505/108 is 63/540.
To find the highest common factor of 8568,8505, 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 8505 are 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 81, 105, 135, 189, 243, 315, 405, 567, 945, 1215, 1701, 2835, 8505
The HCF of 8568,8505 is 63.
Lets's calculate GCF of 8568,8505
| 3 | 8568, 8505 |
| 3 | 2856, 2835 |
| 7 | 952, 945 |
| 136, 135 |
∴ So the GCF of the given numbers is 3 x 3 x 7 = 63
Greatest Common Factor of 8568,8505 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 8505
:1,3,5,7,9,15,21,27,35,45,63,81,105,135,189,243,315,405,567,945,1215,1701,2835,8505
Greatest Common Factor
We found the factors 8568,8505 . The biggest common factor number is the GCF number.
So the greatest common factor 8568,8505 is 63.
Lets's calculate LCM of 30,108
| 2 | 30, 108 |
| 3 | 15, 54 |
| 5, 18 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 18 = 540
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 63/540
Therefore, the GCF of Fractions 8568/30,8505/108 is 63/540
Least Common Multiple of 30,108 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 30,108 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(30,108) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(30,108) x common factors =6 x 1 = 6
LCM(30,108) = ( 30 × 108 ) / 6
LCM(30,108) = 3240 / 6
LCM(30,108) = 540
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FAQs on GCF of Fractions of 8568/30, 8505/108
1. What is the HCF of 8568,8505?
The HCF of 8568,8505 is 63
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 8568/30, 8505/108?
Answer: GCF of Numerators as per given numbers 8568/30, 8505/108 is
GCF of Numerators i.e. for 8568,8505 is 63
LCM of denominators i.e. for 30,108 is 540.
Thus, GCF of Fractions is 63/540.Finally, GCF of Fractions for 8568/30, 8505/108 is 63/540.