GCF of 2404/827, 4947/8081
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2404/827, 4947/8081 i.e 1/6682987 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2404/827, 4947/8081.
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 2404/827,4947/8081?
Given fractions are 2404/827,4947/8081
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 2404/827,4947/8081, numerators are 2404,4947
Denominators are 827,8081
The GCF of 2404,4947 is 1 .
LCM of 827,8081 is 6682987.
The greatest common factor of 2404/827,4947/8081 = [GCF of 2404,4947]/[LCM of 827,8081]= 1/6682987
Therefore, the GCF of 2404/827,4947/8081 is 1/6682987.
To find the highest common factor of 2404,4947, we have to find the factors of both numbers and list the highest common factor.
The factors of 2404 are 1, 2, 4, 601, 1202, 2404
The factors of 4947 are 1, 3, 17, 51, 97, 291, 1649, 4947
The HCF of 2404,4947 is 1.
Lets's calculate GCF of 2404,4947
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2404,4947 By Matching Biggest Common Factor Method
Now, list down the factors of 2404
:1,2,4,601,1202,2404
Now, list down the factors of 4947
:1,3,17,51,97,291,1649,4947
Greatest Common Factor
We found the factors 2404,4947 . The biggest common factor number is the GCF number.
So the greatest common factor 2404,4947 is 1.
Lets's calculate LCM of 827,8081
Given numbers has no common factors except 1. So, there LCM is their product i.e 6682987
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6682987
Therefore, the GCF of Fractions 2404/827,4947/8081 is 1/6682987
Least Common Multiple of 827,8081 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 827,8081 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(827,8081) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(827,8081) x common factors =1 x 1 = 1
LCM(827,8081) = ( 827 × 8081 ) / 1
LCM(827,8081) = 6682987 / 1
LCM(827,8081) = 6682987
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FAQs on GCF of Fractions of 2404/827, 4947/8081
1. What is the HCF of 2404,4947?
The HCF of 2404,4947 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 2404/827, 4947/8081?
Answer: GCF of Numerators as per given numbers 2404/827, 4947/8081 is
GCF of Numerators i.e. for 2404,4947 is 1
LCM of denominators i.e. for 827,8081 is 6682987.
Thus, GCF of Fractions is 1/6682987.Finally, GCF of Fractions for 2404/827, 4947/8081 is 1/6682987.