GCF of 8169/906, 1215/5869
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8169/906, 1215/5869 i.e 3/5317314 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8169/906, 1215/5869.
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 8169/906,1215/5869?
Given fractions are 8169/906,1215/5869
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 8169/906,1215/5869, numerators are 8169,1215
Denominators are 906,5869
The GCF of 8169,1215 is 3 .
LCM of 906,5869 is 5317314.
The greatest common factor of 8169/906,1215/5869 = [GCF of 8169,1215]/[LCM of 906,5869]= 3/5317314
Therefore, the GCF of 8169/906,1215/5869 is 3/5317314.
To find the highest common factor of 8169,1215, we have to find the factors of both numbers and list the highest common factor.
The factors of 8169 are 1, 3, 7, 21, 389, 1167, 2723, 8169
The factors of 1215 are 1, 3, 5, 9, 15, 27, 45, 81, 135, 243, 405, 1215
The HCF of 8169,1215 is 3.
Lets's calculate GCF of 8169,1215
| 3 | 8169, 1215 |
| 2723, 405 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8169,1215 By Matching Biggest Common Factor Method
Now, list down the factors of 8169
:1,3,7,21,389,1167,2723,8169
Now, list down the factors of 1215
:1,3,5,9,15,27,45,81,135,243,405,1215
Greatest Common Factor
We found the factors 8169,1215 . The biggest common factor number is the GCF number.
So the greatest common factor 8169,1215 is 3.
Lets's calculate LCM of 906,5869
Given numbers has no common factors except 1. So, there LCM is their product i.e 5317314
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/5317314
Therefore, the GCF of Fractions 8169/906,1215/5869 is 3/5317314
Least Common Multiple of 906,5869 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 906,5869 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(906,5869) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(906,5869) x common factors =1 x 1 = 1
LCM(906,5869) = ( 906 × 5869 ) / 1
LCM(906,5869) = 5317314 / 1
LCM(906,5869) = 5317314
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FAQs on GCF of Fractions of 8169/906, 1215/5869
1. What is the HCF of 8169,1215?
The HCF of 8169,1215 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 8169/906, 1215/5869?
Answer: GCF of Numerators as per given numbers 8169/906, 1215/5869 is
GCF of Numerators i.e. for 8169,1215 is 3
LCM of denominators i.e. for 906,5869 is 5317314.
Thus, GCF of Fractions is 3/5317314.Finally, GCF of Fractions for 8169/906, 1215/5869 is 3/5317314.