GCF of 303/69, 483/1035
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 303/69, 483/1035 i.e 3/1035 easily. The following is the detailed procedure to determine the greatest common factor of fractions 303/69, 483/1035.
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 303/69,483/1035?
Given fractions are 303/69,483/1035
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 303/69,483/1035, numerators are 303,483
Denominators are 69,1035
The GCF of 303,483 is 3 .
LCM of 69,1035 is 1035.
The greatest common factor of 303/69,483/1035 = [GCF of 303,483]/[LCM of 69,1035]= 3/1035
Therefore, the GCF of 303/69,483/1035 is 3/1035.
To find the highest common factor of 303,483, we have to find the factors of both numbers and list the highest common factor.
The factors of 303 are 1, 3, 101, 303
The factors of 483 are 1, 3, 7, 21, 23, 69, 161, 483
The HCF of 303,483 is 3.
Lets's calculate GCF of 303,483
| 3 | 303, 483 |
| 101, 161 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 303,483 By Matching Biggest Common Factor Method
Now, list down the factors of 303
:1,3,101,303
Now, list down the factors of 483
:1,3,7,21,23,69,161,483
Greatest Common Factor
We found the factors 303,483 . The biggest common factor number is the GCF number.
So the greatest common factor 303,483 is 3.
Lets's calculate LCM of 69,1035
| 3 | 69, 1035 |
| 23 | 23, 345 |
| 1, 15 |
∴ So the LCM of the given numbers is 3 x 23 x 1 x 15 = 1035
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1035
Therefore, the GCF of Fractions 303/69,483/1035 is 3/1035
Least Common Multiple of 69,1035 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 69,1035 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(69,1035) = 69
common factors(in case of two or more numbers have common factors) = 1
GCF(69,1035) x common factors =69 x 1 = 69
LCM(69,1035) = ( 69 × 1035 ) / 69
LCM(69,1035) = 71415 / 69
LCM(69,1035) = 1035
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FAQs on GCF of Fractions of 303/69, 483/1035
1. What is the HCF of 303,483?
The HCF of 303,483 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 303/69, 483/1035?
Answer: GCF of Numerators as per given numbers 303/69, 483/1035 is
GCF of Numerators i.e. for 303,483 is 3
LCM of denominators i.e. for 69,1035 is 1035.
Thus, GCF of Fractions is 3/1035.Finally, GCF of Fractions for 303/69, 483/1035 is 3/1035.