GCF of 5050/203, 5733/3113
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5050/203, 5733/3113 i.e 1/631939 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5050/203, 5733/3113.
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 5050/203,5733/3113?
Given fractions are 5050/203,5733/3113
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 5050/203,5733/3113, numerators are 5050,5733
Denominators are 203,3113
The GCF of 5050,5733 is 1 .
LCM of 203,3113 is 631939.
The greatest common factor of 5050/203,5733/3113 = [GCF of 5050,5733]/[LCM of 203,3113]= 1/631939
Therefore, the GCF of 5050/203,5733/3113 is 1/631939.
To find the highest common factor of 5050,5733, we have to find the factors of both numbers and list the highest common factor.
The factors of 5050 are 1, 2, 5, 10, 25, 50, 101, 202, 505, 1010, 2525, 5050
The factors of 5733 are 1, 3, 7, 9, 13, 21, 39, 49, 63, 91, 117, 147, 273, 441, 637, 819, 1911, 5733
The HCF of 5050,5733 is 1.
Lets's calculate GCF of 5050,5733
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5050,5733 By Matching Biggest Common Factor Method
Now, list down the factors of 5050
:1,2,5,10,25,50,101,202,505,1010,2525,5050
Now, list down the factors of 5733
:1,3,7,9,13,21,39,49,63,91,117,147,273,441,637,819,1911,5733
Greatest Common Factor
We found the factors 5050,5733 . The biggest common factor number is the GCF number.
So the greatest common factor 5050,5733 is 1.
Lets's calculate LCM of 203,3113
Given numbers has no common factors except 1. So, there LCM is their product i.e 631939
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/631939
Therefore, the GCF of Fractions 5050/203,5733/3113 is 1/631939
Least Common Multiple of 203,3113 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 203,3113 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(203,3113) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(203,3113) x common factors =1 x 1 = 1
LCM(203,3113) = ( 203 × 3113 ) / 1
LCM(203,3113) = 631939 / 1
LCM(203,3113) = 631939
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FAQs on GCF of Fractions of 5050/203, 5733/3113
1. What is the HCF of 5050,5733?
The HCF of 5050,5733 is 1
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 5050/203, 5733/3113?
Answer: GCF of Numerators as per given numbers 5050/203, 5733/3113 is
GCF of Numerators i.e. for 5050,5733 is 1
LCM of denominators i.e. for 203,3113 is 631939.
Thus, GCF of Fractions is 1/631939.Finally, GCF of Fractions for 5050/203, 5733/3113 is 1/631939.