GCF of 8265/169, 8511/3486
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8265/169, 8511/3486 i.e 3/589134 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8265/169, 8511/3486.
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 8265/169,8511/3486?
Given fractions are 8265/169,8511/3486
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 8265/169,8511/3486, numerators are 8265,8511
Denominators are 169,3486
The GCF of 8265,8511 is 3 .
LCM of 169,3486 is 589134.
The greatest common factor of 8265/169,8511/3486 = [GCF of 8265,8511]/[LCM of 169,3486]= 3/589134
Therefore, the GCF of 8265/169,8511/3486 is 3/589134.
To find the highest common factor of 8265,8511, we have to find the factors of both numbers and list the highest common factor.
The factors of 8265 are 1, 3, 5, 15, 19, 29, 57, 87, 95, 145, 285, 435, 551, 1653, 2755, 8265
The factors of 8511 are 1, 3, 2837, 8511
The HCF of 8265,8511 is 3.
Lets's calculate GCF of 8265,8511
| 3 | 8265, 8511 |
| 2755, 2837 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8265,8511 By Matching Biggest Common Factor Method
Now, list down the factors of 8265
:1,3,5,15,19,29,57,87,95,145,285,435,551,1653,2755,8265
Now, list down the factors of 8511
:1,3,2837,8511
Greatest Common Factor
We found the factors 8265,8511 . The biggest common factor number is the GCF number.
So the greatest common factor 8265,8511 is 3.
Lets's calculate LCM of 169,3486
Given numbers has no common factors except 1. So, there LCM is their product i.e 589134
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/589134
Therefore, the GCF of Fractions 8265/169,8511/3486 is 3/589134
Least Common Multiple of 169,3486 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 169,3486 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(169,3486) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(169,3486) x common factors =1 x 1 = 1
LCM(169,3486) = ( 169 × 3486 ) / 1
LCM(169,3486) = 589134 / 1
LCM(169,3486) = 589134
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FAQs on GCF of Fractions of 8265/169, 8511/3486
1. What is the HCF of 8265,8511?
The HCF of 8265,8511 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 8265/169, 8511/3486?
Answer: GCF of Numerators as per given numbers 8265/169, 8511/3486 is
GCF of Numerators i.e. for 8265,8511 is 3
LCM of denominators i.e. for 169,3486 is 589134.
Thus, GCF of Fractions is 3/589134.Finally, GCF of Fractions for 8265/169, 8511/3486 is 3/589134.