GCF of 8259/567, 5712/712
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8259/567, 5712/712 i.e 3/403704 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8259/567, 5712/712.
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 8259/567,5712/712?
Given fractions are 8259/567,5712/712
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 8259/567,5712/712, numerators are 8259,5712
Denominators are 567,712
The GCF of 8259,5712 is 3 .
LCM of 567,712 is 403704.
The greatest common factor of 8259/567,5712/712 = [GCF of 8259,5712]/[LCM of 567,712]= 3/403704
Therefore, the GCF of 8259/567,5712/712 is 3/403704.
To find the highest common factor of 8259,5712, we have to find the factors of both numbers and list the highest common factor.
The factors of 8259 are 1, 3, 2753, 8259
The factors of 5712 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 17, 21, 24, 28, 34, 42, 48, 51, 56, 68, 84, 102, 112, 119, 136, 168, 204, 238, 272, 336, 357, 408, 476, 714, 816, 952, 1428, 1904, 2856, 5712
The HCF of 8259,5712 is 3.
Lets's calculate GCF of 8259,5712
| 3 | 8259, 5712 |
| 2753, 1904 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8259,5712 By Matching Biggest Common Factor Method
Now, list down the factors of 8259
:1,3,2753,8259
Now, list down the factors of 5712
:1,2,3,4,6,7,8,12,14,16,17,21,24,28,34,42,48,51,56,68,84,102,112,119,136,168,204,238,272,336,357,408,476,714,816,952,1428,1904,2856,5712
Greatest Common Factor
We found the factors 8259,5712 . The biggest common factor number is the GCF number.
So the greatest common factor 8259,5712 is 3.
Lets's calculate LCM of 567,712
Given numbers has no common factors except 1. So, there LCM is their product i.e 403704
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/403704
Therefore, the GCF of Fractions 8259/567,5712/712 is 3/403704
Least Common Multiple of 567,712 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 567,712 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(567,712) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(567,712) x common factors =1 x 1 = 1
LCM(567,712) = ( 567 × 712 ) / 1
LCM(567,712) = 403704 / 1
LCM(567,712) = 403704
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FAQs on GCF of Fractions of 8259/567, 5712/712
1. What is the HCF of 8259,5712?
The HCF of 8259,5712 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 8259/567, 5712/712?
Answer: GCF of Numerators as per given numbers 8259/567, 5712/712 is
GCF of Numerators i.e. for 8259,5712 is 3
LCM of denominators i.e. for 567,712 is 403704.
Thus, GCF of Fractions is 3/403704.Finally, GCF of Fractions for 8259/567, 5712/712 is 3/403704.