GCF of 8595/515, 8105/6901
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8595/515, 8105/6901 i.e 5/34505 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8595/515, 8105/6901.
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 8595/515,8105/6901?
Given fractions are 8595/515,8105/6901
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 8595/515,8105/6901, numerators are 8595,8105
Denominators are 515,6901
The GCF of 8595,8105 is 5 .
LCM of 515,6901 is 34505.
The greatest common factor of 8595/515,8105/6901 = [GCF of 8595,8105]/[LCM of 515,6901]= 5/34505
Therefore, the GCF of 8595/515,8105/6901 is 5/34505.
To find the highest common factor of 8595,8105, we have to find the factors of both numbers and list the highest common factor.
The factors of 8595 are 1, 3, 5, 9, 15, 45, 191, 573, 955, 1719, 2865, 8595
The factors of 8105 are 1, 5, 1621, 8105
The HCF of 8595,8105 is 5.
Lets's calculate GCF of 8595,8105
| 5 | 8595, 8105 |
| 1719, 1621 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 8595,8105 By Matching Biggest Common Factor Method
Now, list down the factors of 8595
:1,3,5,9,15,45,191,573,955,1719,2865,8595
Now, list down the factors of 8105
:1,5,1621,8105
Greatest Common Factor
We found the factors 8595,8105 . The biggest common factor number is the GCF number.
So the greatest common factor 8595,8105 is 5.
Lets's calculate LCM of 515,6901
| 103 | 515, 6901 |
| 5, 67 |
∴ So the LCM of the given numbers is 103 x 5 x 67 = 34505
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/34505
Therefore, the GCF of Fractions 8595/515,8105/6901 is 5/34505
Least Common Multiple of 515,6901 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 515,6901 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(515,6901) = 103
common factors(in case of two or more numbers have common factors) = 1
GCF(515,6901) x common factors =103 x 1 = 103
LCM(515,6901) = ( 515 × 6901 ) / 103
LCM(515,6901) = 3554015 / 103
LCM(515,6901) = 34505
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FAQs on GCF of Fractions of 8595/515, 8105/6901
1. What is the HCF of 8595,8105?
The HCF of 8595,8105 is 5
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 8595/515, 8105/6901?
Answer: GCF of Numerators as per given numbers 8595/515, 8105/6901 is
GCF of Numerators i.e. for 8595,8105 is 5
LCM of denominators i.e. for 515,6901 is 34505.
Thus, GCF of Fractions is 5/34505.Finally, GCF of Fractions for 8595/515, 8105/6901 is 5/34505.