GCF of 6075/258, 6504/8906
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6075/258, 6504/8906 i.e 3/1148874 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6075/258, 6504/8906.
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 6075/258,6504/8906?
Given fractions are 6075/258,6504/8906
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 6075/258,6504/8906, numerators are 6075,6504
Denominators are 258,8906
The GCF of 6075,6504 is 3 .
LCM of 258,8906 is 1148874.
The greatest common factor of 6075/258,6504/8906 = [GCF of 6075,6504]/[LCM of 258,8906]= 3/1148874
Therefore, the GCF of 6075/258,6504/8906 is 3/1148874.
To find the highest common factor of 6075,6504, we have to find the factors of both numbers and list the highest common factor.
The factors of 6075 are 1, 3, 5, 9, 15, 25, 27, 45, 75, 81, 135, 225, 243, 405, 675, 1215, 2025, 6075
The factors of 6504 are 1, 2, 3, 4, 6, 8, 12, 24, 271, 542, 813, 1084, 1626, 2168, 3252, 6504
The HCF of 6075,6504 is 3.
Lets's calculate GCF of 6075,6504
| 3 | 6075, 6504 |
| 2025, 2168 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 6075,6504 By Matching Biggest Common Factor Method
Now, list down the factors of 6075
:1,3,5,9,15,25,27,45,75,81,135,225,243,405,675,1215,2025,6075
Now, list down the factors of 6504
:1,2,3,4,6,8,12,24,271,542,813,1084,1626,2168,3252,6504
Greatest Common Factor
We found the factors 6075,6504 . The biggest common factor number is the GCF number.
So the greatest common factor 6075,6504 is 3.
Lets's calculate LCM of 258,8906
| 2 | 258, 8906 |
| 129, 4453 |
∴ So the LCM of the given numbers is 2 x 129 x 4453 = 1148874
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1148874
Therefore, the GCF of Fractions 6075/258,6504/8906 is 3/1148874
Least Common Multiple of 258,8906 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 258,8906 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(258,8906) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(258,8906) x common factors =2 x 1 = 2
LCM(258,8906) = ( 258 × 8906 ) / 2
LCM(258,8906) = 2297748 / 2
LCM(258,8906) = 1148874
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FAQs on GCF of Fractions of 6075/258, 6504/8906
1. What is the HCF of 6075,6504?
The HCF of 6075,6504 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 6075/258, 6504/8906?
Answer: GCF of Numerators as per given numbers 6075/258, 6504/8906 is
GCF of Numerators i.e. for 6075,6504 is 3
LCM of denominators i.e. for 258,8906 is 1148874.
Thus, GCF of Fractions is 3/1148874.Finally, GCF of Fractions for 6075/258, 6504/8906 is 3/1148874.