GCF of 9841/461, 7310/582
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9841/461, 7310/582 i.e 1/268302 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9841/461, 7310/582.
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 9841/461,7310/582?
Given fractions are 9841/461,7310/582
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 9841/461,7310/582, numerators are 9841,7310
Denominators are 461,582
The GCF of 9841,7310 is 1 .
LCM of 461,582 is 268302.
The greatest common factor of 9841/461,7310/582 = [GCF of 9841,7310]/[LCM of 461,582]= 1/268302
Therefore, the GCF of 9841/461,7310/582 is 1/268302.
To find the highest common factor of 9841,7310, we have to find the factors of both numbers and list the highest common factor.
The factors of 9841 are 1, 13, 757, 9841
The factors of 7310 are 1, 2, 5, 10, 17, 34, 43, 85, 86, 170, 215, 430, 731, 1462, 3655, 7310
The HCF of 9841,7310 is 1.
Lets's calculate GCF of 9841,7310
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9841,7310 By Matching Biggest Common Factor Method
Now, list down the factors of 9841
:1,13,757,9841
Now, list down the factors of 7310
:1,2,5,10,17,34,43,85,86,170,215,430,731,1462,3655,7310
Greatest Common Factor
We found the factors 9841,7310 . The biggest common factor number is the GCF number.
So the greatest common factor 9841,7310 is 1.
Lets's calculate LCM of 461,582
Given numbers has no common factors except 1. So, there LCM is their product i.e 268302
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/268302
Therefore, the GCF of Fractions 9841/461,7310/582 is 1/268302
Least Common Multiple of 461,582 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 461,582 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(461,582) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(461,582) x common factors =1 x 1 = 1
LCM(461,582) = ( 461 × 582 ) / 1
LCM(461,582) = 268302 / 1
LCM(461,582) = 268302
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FAQs on GCF of Fractions of 9841/461, 7310/582
1. What is the HCF of 9841,7310?
The HCF of 9841,7310 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 9841/461, 7310/582?
Answer: GCF of Numerators as per given numbers 9841/461, 7310/582 is
GCF of Numerators i.e. for 9841,7310 is 1
LCM of denominators i.e. for 461,582 is 268302.
Thus, GCF of Fractions is 1/268302.Finally, GCF of Fractions for 9841/461, 7310/582 is 1/268302.