GCF of 7554/331, 5291/9706
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7554/331, 5291/9706 i.e 1/3212686 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7554/331, 5291/9706.
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 7554/331,5291/9706?
Given fractions are 7554/331,5291/9706
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 7554/331,5291/9706, numerators are 7554,5291
Denominators are 331,9706
The GCF of 7554,5291 is 1 .
LCM of 331,9706 is 3212686.
The greatest common factor of 7554/331,5291/9706 = [GCF of 7554,5291]/[LCM of 331,9706]= 1/3212686
Therefore, the GCF of 7554/331,5291/9706 is 1/3212686.
To find the highest common factor of 7554,5291, we have to find the factors of both numbers and list the highest common factor.
The factors of 7554 are 1, 2, 3, 6, 1259, 2518, 3777, 7554
The factors of 5291 are 1, 11, 13, 37, 143, 407, 481, 5291
The HCF of 7554,5291 is 1.
Lets's calculate GCF of 7554,5291
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7554,5291 By Matching Biggest Common Factor Method
Now, list down the factors of 7554
:1,2,3,6,1259,2518,3777,7554
Now, list down the factors of 5291
:1,11,13,37,143,407,481,5291
Greatest Common Factor
We found the factors 7554,5291 . The biggest common factor number is the GCF number.
So the greatest common factor 7554,5291 is 1.
Lets's calculate LCM of 331,9706
Given numbers has no common factors except 1. So, there LCM is their product i.e 3212686
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3212686
Therefore, the GCF of Fractions 7554/331,5291/9706 is 1/3212686
Least Common Multiple of 331,9706 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 331,9706 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(331,9706) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(331,9706) x common factors =1 x 1 = 1
LCM(331,9706) = ( 331 × 9706 ) / 1
LCM(331,9706) = 3212686 / 1
LCM(331,9706) = 3212686
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FAQs on GCF of Fractions of 7554/331, 5291/9706
1. What is the HCF of 7554,5291?
The HCF of 7554,5291 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 7554/331, 5291/9706?
Answer: GCF of Numerators as per given numbers 7554/331, 5291/9706 is
GCF of Numerators i.e. for 7554,5291 is 1
LCM of denominators i.e. for 331,9706 is 3212686.
Thus, GCF of Fractions is 1/3212686.Finally, GCF of Fractions for 7554/331, 5291/9706 is 1/3212686.