GCF of 3133/483, 3003/777
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3133/483, 3003/777 i.e 13/17871 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3133/483, 3003/777.
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 3133/483,3003/777?
Given fractions are 3133/483,3003/777
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 3133/483,3003/777, numerators are 3133,3003
Denominators are 483,777
The GCF of 3133,3003 is 13 .
LCM of 483,777 is 17871.
The greatest common factor of 3133/483,3003/777 = [GCF of 3133,3003]/[LCM of 483,777]= 13/17871
Therefore, the GCF of 3133/483,3003/777 is 13/17871.
To find the highest common factor of 3133,3003, we have to find the factors of both numbers and list the highest common factor.
The factors of 3133 are 1, 13, 241, 3133
The factors of 3003 are 1, 3, 7, 11, 13, 21, 33, 39, 77, 91, 143, 231, 273, 429, 1001, 3003
The HCF of 3133,3003 is 13.
Lets's calculate GCF of 3133,3003
| 13 | 3133, 3003 |
| 241, 231 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 3133,3003 By Matching Biggest Common Factor Method
Now, list down the factors of 3133
:1,13,241,3133
Now, list down the factors of 3003
:1,3,7,11,13,21,33,39,77,91,143,231,273,429,1001,3003
Greatest Common Factor
We found the factors 3133,3003 . The biggest common factor number is the GCF number.
So the greatest common factor 3133,3003 is 13.
Lets's calculate LCM of 483,777
| 3 | 483, 777 |
| 7 | 161, 259 |
| 23, 37 |
∴ So the LCM of the given numbers is 3 x 7 x 23 x 37 = 17871
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/17871
Therefore, the GCF of Fractions 3133/483,3003/777 is 13/17871
Least Common Multiple of 483,777 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 483,777 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(483,777) = 21
common factors(in case of two or more numbers have common factors) = 1
GCF(483,777) x common factors =21 x 1 = 21
LCM(483,777) = ( 483 × 777 ) / 21
LCM(483,777) = 375291 / 21
LCM(483,777) = 17871
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FAQs on GCF of Fractions of 3133/483, 3003/777
1. What is the HCF of 3133,3003?
The HCF of 3133,3003 is 13
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 3133/483, 3003/777?
Answer: GCF of Numerators as per given numbers 3133/483, 3003/777 is
GCF of Numerators i.e. for 3133,3003 is 13
LCM of denominators i.e. for 483,777 is 17871.
Thus, GCF of Fractions is 13/17871.Finally, GCF of Fractions for 3133/483, 3003/777 is 13/17871.