GCF of 8085/585, 3471/743
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8085/585, 3471/743 i.e 3/434655 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8085/585, 3471/743.
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 8085/585,3471/743?
Given fractions are 8085/585,3471/743
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 8085/585,3471/743, numerators are 8085,3471
Denominators are 585,743
The GCF of 8085,3471 is 3 .
LCM of 585,743 is 434655.
The greatest common factor of 8085/585,3471/743 = [GCF of 8085,3471]/[LCM of 585,743]= 3/434655
Therefore, the GCF of 8085/585,3471/743 is 3/434655.
To find the highest common factor of 8085,3471, we have to find the factors of both numbers and list the highest common factor.
The factors of 8085 are 1, 3, 5, 7, 11, 15, 21, 33, 35, 49, 55, 77, 105, 147, 165, 231, 245, 385, 539, 735, 1155, 1617, 2695, 8085
The factors of 3471 are 1, 3, 13, 39, 89, 267, 1157, 3471
The HCF of 8085,3471 is 3.
Lets's calculate GCF of 8085,3471
| 3 | 8085, 3471 |
| 2695, 1157 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8085,3471 By Matching Biggest Common Factor Method
Now, list down the factors of 8085
:1,3,5,7,11,15,21,33,35,49,55,77,105,147,165,231,245,385,539,735,1155,1617,2695,8085
Now, list down the factors of 3471
:1,3,13,39,89,267,1157,3471
Greatest Common Factor
We found the factors 8085,3471 . The biggest common factor number is the GCF number.
So the greatest common factor 8085,3471 is 3.
Lets's calculate LCM of 585,743
Given numbers has no common factors except 1. So, there LCM is their product i.e 434655
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/434655
Therefore, the GCF of Fractions 8085/585,3471/743 is 3/434655
Least Common Multiple of 585,743 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 585,743 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(585,743) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(585,743) x common factors =1 x 1 = 1
LCM(585,743) = ( 585 × 743 ) / 1
LCM(585,743) = 434655 / 1
LCM(585,743) = 434655
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FAQs on GCF of Fractions of 8085/585, 3471/743
1. What is the HCF of 8085,3471?
The HCF of 8085,3471 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 8085/585, 3471/743?
Answer: GCF of Numerators as per given numbers 8085/585, 3471/743 is
GCF of Numerators i.e. for 8085,3471 is 3
LCM of denominators i.e. for 585,743 is 434655.
Thus, GCF of Fractions is 3/434655.Finally, GCF of Fractions for 8085/585, 3471/743 is 3/434655.