GCF of 9333/555, 5726/4511
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9333/555, 5726/4511 i.e 1/2503605 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9333/555, 5726/4511.
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 9333/555,5726/4511?
Given fractions are 9333/555,5726/4511
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 9333/555,5726/4511, numerators are 9333,5726
Denominators are 555,4511
The GCF of 9333,5726 is 1 .
LCM of 555,4511 is 2503605.
The greatest common factor of 9333/555,5726/4511 = [GCF of 9333,5726]/[LCM of 555,4511]= 1/2503605
Therefore, the GCF of 9333/555,5726/4511 is 1/2503605.
To find the highest common factor of 9333,5726, we have to find the factors of both numbers and list the highest common factor.
The factors of 9333 are 1, 3, 9, 17, 51, 61, 153, 183, 549, 1037, 3111, 9333
The factors of 5726 are 1, 2, 7, 14, 409, 818, 2863, 5726
The HCF of 9333,5726 is 1.
Lets's calculate GCF of 9333,5726
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9333,5726 By Matching Biggest Common Factor Method
Now, list down the factors of 9333
:1,3,9,17,51,61,153,183,549,1037,3111,9333
Now, list down the factors of 5726
:1,2,7,14,409,818,2863,5726
Greatest Common Factor
We found the factors 9333,5726 . The biggest common factor number is the GCF number.
So the greatest common factor 9333,5726 is 1.
Lets's calculate LCM of 555,4511
Given numbers has no common factors except 1. So, there LCM is their product i.e 2503605
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2503605
Therefore, the GCF of Fractions 9333/555,5726/4511 is 1/2503605
Least Common Multiple of 555,4511 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 555,4511 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(555,4511) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(555,4511) x common factors =1 x 1 = 1
LCM(555,4511) = ( 555 × 4511 ) / 1
LCM(555,4511) = 2503605 / 1
LCM(555,4511) = 2503605
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FAQs on GCF of Fractions of 9333/555, 5726/4511
1. What is the HCF of 9333,5726?
The HCF of 9333,5726 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 9333/555, 5726/4511?
Answer: GCF of Numerators as per given numbers 9333/555, 5726/4511 is
GCF of Numerators i.e. for 9333,5726 is 1
LCM of denominators i.e. for 555,4511 is 2503605.
Thus, GCF of Fractions is 1/2503605.Finally, GCF of Fractions for 9333/555, 5726/4511 is 1/2503605.