GCF of 6303/531, 3165/7920
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6303/531, 3165/7920 i.e 3/467280 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6303/531, 3165/7920.
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 6303/531,3165/7920?
Given fractions are 6303/531,3165/7920
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 6303/531,3165/7920, numerators are 6303,3165
Denominators are 531,7920
The GCF of 6303,3165 is 3 .
LCM of 531,7920 is 467280.
The greatest common factor of 6303/531,3165/7920 = [GCF of 6303,3165]/[LCM of 531,7920]= 3/467280
Therefore, the GCF of 6303/531,3165/7920 is 3/467280.
To find the highest common factor of 6303,3165, we have to find the factors of both numbers and list the highest common factor.
The factors of 6303 are 1, 3, 11, 33, 191, 573, 2101, 6303
The factors of 3165 are 1, 3, 5, 15, 211, 633, 1055, 3165
The HCF of 6303,3165 is 3.
Lets's calculate GCF of 6303,3165
| 3 | 6303, 3165 |
| 2101, 1055 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 6303,3165 By Matching Biggest Common Factor Method
Now, list down the factors of 6303
:1,3,11,33,191,573,2101,6303
Now, list down the factors of 3165
:1,3,5,15,211,633,1055,3165
Greatest Common Factor
We found the factors 6303,3165 . The biggest common factor number is the GCF number.
So the greatest common factor 6303,3165 is 3.
Lets's calculate LCM of 531,7920
| 3 | 531, 7920 |
| 3 | 177, 2640 |
| 59, 880 |
∴ So the LCM of the given numbers is 3 x 3 x 59 x 880 = 467280
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/467280
Therefore, the GCF of Fractions 6303/531,3165/7920 is 3/467280
Least Common Multiple of 531,7920 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 531,7920 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(531,7920) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(531,7920) x common factors =9 x 1 = 9
LCM(531,7920) = ( 531 × 7920 ) / 9
LCM(531,7920) = 4205520 / 9
LCM(531,7920) = 467280
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FAQs on GCF of Fractions of 6303/531, 3165/7920
1. What is the HCF of 6303,3165?
The HCF of 6303,3165 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 6303/531, 3165/7920?
Answer: GCF of Numerators as per given numbers 6303/531, 3165/7920 is
GCF of Numerators i.e. for 6303,3165 is 3
LCM of denominators i.e. for 531,7920 is 467280.
Thus, GCF of Fractions is 3/467280.Finally, GCF of Fractions for 6303/531, 3165/7920 is 3/467280.