GCF of 8500/517, 1105/471
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8500/517, 1105/471 i.e 85/243507 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8500/517, 1105/471.
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 8500/517,1105/471?
Given fractions are 8500/517,1105/471
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 8500/517,1105/471, numerators are 8500,1105
Denominators are 517,471
The GCF of 8500,1105 is 85 .
LCM of 517,471 is 243507.
The greatest common factor of 8500/517,1105/471 = [GCF of 8500,1105]/[LCM of 517,471]= 85/243507
Therefore, the GCF of 8500/517,1105/471 is 85/243507.
To find the highest common factor of 8500,1105, we have to find the factors of both numbers and list the highest common factor.
The factors of 8500 are 1, 2, 4, 5, 10, 17, 20, 25, 34, 50, 68, 85, 100, 125, 170, 250, 340, 425, 500, 850, 1700, 2125, 4250, 8500
The factors of 1105 are 1, 5, 13, 17, 65, 85, 221, 1105
The HCF of 8500,1105 is 85.
Lets's calculate GCF of 8500,1105
| 5 | 8500, 1105 |
| 17 | 1700, 221 |
| 100, 13 |
∴ So the GCF of the given numbers is 5 x 17 = 85
Greatest Common Factor of 8500,1105 By Matching Biggest Common Factor Method
Now, list down the factors of 8500
:1,2,4,5,10,17,20,25,34,50,68,85,100,125,170,250,340,425,500,850,1700,2125,4250,8500
Now, list down the factors of 1105
:1,5,13,17,65,85,221,1105
Greatest Common Factor
We found the factors 8500,1105 . The biggest common factor number is the GCF number.
So the greatest common factor 8500,1105 is 85.
Lets's calculate LCM of 517,471
Given numbers has no common factors except 1. So, there LCM is their product i.e 243507
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 85/243507
Therefore, the GCF of Fractions 8500/517,1105/471 is 85/243507
Least Common Multiple of 517,471 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 517,471 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(517,471) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(517,471) x common factors =1 x 1 = 1
LCM(517,471) = ( 517 × 471 ) / 1
LCM(517,471) = 243507 / 1
LCM(517,471) = 243507
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FAQs on GCF of Fractions of 8500/517, 1105/471
1. What is the HCF of 8500,1105?
The HCF of 8500,1105 is 85
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 8500/517, 1105/471?
Answer: GCF of Numerators as per given numbers 8500/517, 1105/471 is
GCF of Numerators i.e. for 8500,1105 is 85
LCM of denominators i.e. for 517,471 is 243507.
Thus, GCF of Fractions is 85/243507.Finally, GCF of Fractions for 8500/517, 1105/471 is 85/243507.