GCF of 6093/285, 7035/465
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6093/285, 7035/465 i.e 3/8835 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6093/285, 7035/465.
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 6093/285,7035/465?
Given fractions are 6093/285,7035/465
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 6093/285,7035/465, numerators are 6093,7035
Denominators are 285,465
The GCF of 6093,7035 is 3 .
LCM of 285,465 is 8835.
The greatest common factor of 6093/285,7035/465 = [GCF of 6093,7035]/[LCM of 285,465]= 3/8835
Therefore, the GCF of 6093/285,7035/465 is 3/8835.
To find the highest common factor of 6093,7035, we have to find the factors of both numbers and list the highest common factor.
The factors of 6093 are 1, 3, 9, 677, 2031, 6093
The factors of 7035 are 1, 3, 5, 7, 15, 21, 35, 67, 105, 201, 335, 469, 1005, 1407, 2345, 7035
The HCF of 6093,7035 is 3.
Lets's calculate GCF of 6093,7035
| 3 | 6093, 7035 |
| 2031, 2345 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 6093,7035 By Matching Biggest Common Factor Method
Now, list down the factors of 6093
:1,3,9,677,2031,6093
Now, list down the factors of 7035
:1,3,5,7,15,21,35,67,105,201,335,469,1005,1407,2345,7035
Greatest Common Factor
We found the factors 6093,7035 . The biggest common factor number is the GCF number.
So the greatest common factor 6093,7035 is 3.
Lets's calculate LCM of 285,465
| 3 | 285, 465 |
| 5 | 95, 155 |
| 19, 31 |
∴ So the LCM of the given numbers is 3 x 5 x 19 x 31 = 8835
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/8835
Therefore, the GCF of Fractions 6093/285,7035/465 is 3/8835
Least Common Multiple of 285,465 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 285,465 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(285,465) = 15
common factors(in case of two or more numbers have common factors) = 1
GCF(285,465) x common factors =15 x 1 = 15
LCM(285,465) = ( 285 × 465 ) / 15
LCM(285,465) = 132525 / 15
LCM(285,465) = 8835
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FAQs on GCF of Fractions of 6093/285, 7035/465
1. What is the HCF of 6093,7035?
The HCF of 6093,7035 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 6093/285, 7035/465?
Answer: GCF of Numerators as per given numbers 6093/285, 7035/465 is
GCF of Numerators i.e. for 6093,7035 is 3
LCM of denominators i.e. for 285,465 is 8835.
Thus, GCF of Fractions is 3/8835.Finally, GCF of Fractions for 6093/285, 7035/465 is 3/8835.