GCF of 2861/850, 5712/289
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2861/850, 5712/289 i.e 1/14450 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2861/850, 5712/289.
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 2861/850,5712/289?
Given fractions are 2861/850,5712/289
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 2861/850,5712/289, numerators are 2861,5712
Denominators are 850,289
The GCF of 2861,5712 is 1 .
LCM of 850,289 is 14450.
The greatest common factor of 2861/850,5712/289 = [GCF of 2861,5712]/[LCM of 850,289]= 1/14450
Therefore, the GCF of 2861/850,5712/289 is 1/14450.
To find the highest common factor of 2861,5712, we have to find the factors of both numbers and list the highest common factor.
The factors of 2861 are 1, 2861
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 2861,5712 is 1.
Lets's calculate GCF of 2861,5712
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2861,5712 By Matching Biggest Common Factor Method
Now, list down the factors of 2861
:1,2861
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 2861,5712 . The biggest common factor number is the GCF number.
So the greatest common factor 2861,5712 is 1.
Lets's calculate LCM of 850,289
| 17 | 850, 289 |
| 50, 17 |
∴ So the LCM of the given numbers is 17 x 50 x 17 = 14450
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14450
Therefore, the GCF of Fractions 2861/850,5712/289 is 1/14450
Least Common Multiple of 850,289 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 850,289 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(850,289) = 17
common factors(in case of two or more numbers have common factors) = 1
GCF(850,289) x common factors =17 x 1 = 17
LCM(850,289) = ( 850 × 289 ) / 17
LCM(850,289) = 245650 / 17
LCM(850,289) = 14450
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FAQs on GCF of Fractions of 2861/850, 5712/289
1. What is the HCF of 2861,5712?
The HCF of 2861,5712 is 1
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 2861/850, 5712/289?
Answer: GCF of Numerators as per given numbers 2861/850, 5712/289 is
GCF of Numerators i.e. for 2861,5712 is 1
LCM of denominators i.e. for 850,289 is 14450.
Thus, GCF of Fractions is 1/14450.Finally, GCF of Fractions for 2861/850, 5712/289 is 1/14450.