GCF of 4913/726, 8662/6085
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4913/726, 8662/6085 i.e 1/4417710 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4913/726, 8662/6085.
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 4913/726,8662/6085?
Given fractions are 4913/726,8662/6085
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 4913/726,8662/6085, numerators are 4913,8662
Denominators are 726,6085
The GCF of 4913,8662 is 1 .
LCM of 726,6085 is 4417710.
The greatest common factor of 4913/726,8662/6085 = [GCF of 4913,8662]/[LCM of 726,6085]= 1/4417710
Therefore, the GCF of 4913/726,8662/6085 is 1/4417710.
To find the highest common factor of 4913,8662, we have to find the factors of both numbers and list the highest common factor.
The factors of 4913 are 1, 17, 289, 4913
The factors of 8662 are 1, 2, 61, 71, 122, 142, 4331, 8662
The HCF of 4913,8662 is 1.
Lets's calculate GCF of 4913,8662
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4913,8662 By Matching Biggest Common Factor Method
Now, list down the factors of 4913
:1,17,289,4913
Now, list down the factors of 8662
:1,2,61,71,122,142,4331,8662
Greatest Common Factor
We found the factors 4913,8662 . The biggest common factor number is the GCF number.
So the greatest common factor 4913,8662 is 1.
Lets's calculate LCM of 726,6085
Given numbers has no common factors except 1. So, there LCM is their product i.e 4417710
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4417710
Therefore, the GCF of Fractions 4913/726,8662/6085 is 1/4417710
Least Common Multiple of 726,6085 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 726,6085 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(726,6085) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(726,6085) x common factors =1 x 1 = 1
LCM(726,6085) = ( 726 × 6085 ) / 1
LCM(726,6085) = 4417710 / 1
LCM(726,6085) = 4417710
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FAQs on GCF of Fractions of 4913/726, 8662/6085
1. What is the HCF of 4913,8662?
The HCF of 4913,8662 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 4913/726, 8662/6085?
Answer: GCF of Numerators as per given numbers 4913/726, 8662/6085 is
GCF of Numerators i.e. for 4913,8662 is 1
LCM of denominators i.e. for 726,6085 is 4417710.
Thus, GCF of Fractions is 1/4417710.Finally, GCF of Fractions for 4913/726, 8662/6085 is 1/4417710.