GCF of 3897/585, 8601/3405
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3897/585, 8601/3405 i.e 3/132795 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3897/585, 8601/3405.
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 3897/585,8601/3405?
Given fractions are 3897/585,8601/3405
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 3897/585,8601/3405, numerators are 3897,8601
Denominators are 585,3405
The GCF of 3897,8601 is 3 .
LCM of 585,3405 is 132795.
The greatest common factor of 3897/585,8601/3405 = [GCF of 3897,8601]/[LCM of 585,3405]= 3/132795
Therefore, the GCF of 3897/585,8601/3405 is 3/132795.
To find the highest common factor of 3897,8601, we have to find the factors of both numbers and list the highest common factor.
The factors of 3897 are 1, 3, 9, 433, 1299, 3897
The factors of 8601 are 1, 3, 47, 61, 141, 183, 2867, 8601
The HCF of 3897,8601 is 3.
Lets's calculate GCF of 3897,8601
| 3 | 3897, 8601 |
| 1299, 2867 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 3897,8601 By Matching Biggest Common Factor Method
Now, list down the factors of 3897
:1,3,9,433,1299,3897
Now, list down the factors of 8601
:1,3,47,61,141,183,2867,8601
Greatest Common Factor
We found the factors 3897,8601 . The biggest common factor number is the GCF number.
So the greatest common factor 3897,8601 is 3.
Lets's calculate LCM of 585,3405
| 3 | 585, 3405 |
| 5 | 195, 1135 |
| 39, 227 |
∴ So the LCM of the given numbers is 3 x 5 x 39 x 227 = 132795
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/132795
Therefore, the GCF of Fractions 3897/585,8601/3405 is 3/132795
Least Common Multiple of 585,3405 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 585,3405 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(585,3405) = 15
common factors(in case of two or more numbers have common factors) = 1
GCF(585,3405) x common factors =15 x 1 = 15
LCM(585,3405) = ( 585 × 3405 ) / 15
LCM(585,3405) = 1991925 / 15
LCM(585,3405) = 132795
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FAQs on GCF of Fractions of 3897/585, 8601/3405
1. What is the HCF of 3897,8601?
The HCF of 3897,8601 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 3897/585, 8601/3405?
Answer: GCF of Numerators as per given numbers 3897/585, 8601/3405 is
GCF of Numerators i.e. for 3897,8601 is 3
LCM of denominators i.e. for 585,3405 is 132795.
Thus, GCF of Fractions is 3/132795.Finally, GCF of Fractions for 3897/585, 8601/3405 is 3/132795.