GCF of 7081/576, 5263/2013
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7081/576, 5263/2013 i.e 1/386496 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7081/576, 5263/2013.
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 7081/576,5263/2013?
Given fractions are 7081/576,5263/2013
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 7081/576,5263/2013, numerators are 7081,5263
Denominators are 576,2013
The GCF of 7081,5263 is 1 .
LCM of 576,2013 is 386496.
The greatest common factor of 7081/576,5263/2013 = [GCF of 7081,5263]/[LCM of 576,2013]= 1/386496
Therefore, the GCF of 7081/576,5263/2013 is 1/386496.
To find the highest common factor of 7081,5263, we have to find the factors of both numbers and list the highest common factor.
The factors of 7081 are 1, 73, 97, 7081
The factors of 5263 are 1, 19, 277, 5263
The HCF of 7081,5263 is 1.
Lets's calculate GCF of 7081,5263
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7081,5263 By Matching Biggest Common Factor Method
Now, list down the factors of 7081
:1,73,97,7081
Now, list down the factors of 5263
:1,19,277,5263
Greatest Common Factor
We found the factors 7081,5263 . The biggest common factor number is the GCF number.
So the greatest common factor 7081,5263 is 1.
Lets's calculate LCM of 576,2013
| 3 | 576, 2013 |
| 192, 671 |
∴ So the LCM of the given numbers is 3 x 192 x 671 = 386496
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/386496
Therefore, the GCF of Fractions 7081/576,5263/2013 is 1/386496
Least Common Multiple of 576,2013 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 576,2013 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(576,2013) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(576,2013) x common factors =3 x 1 = 3
LCM(576,2013) = ( 576 × 2013 ) / 3
LCM(576,2013) = 1159488 / 3
LCM(576,2013) = 386496
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FAQs on GCF of Fractions of 7081/576, 5263/2013
1. What is the HCF of 7081,5263?
The HCF of 7081,5263 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 7081/576, 5263/2013?
Answer: GCF of Numerators as per given numbers 7081/576, 5263/2013 is
GCF of Numerators i.e. for 7081,5263 is 1
LCM of denominators i.e. for 576,2013 is 386496.
Thus, GCF of Fractions is 1/386496.Finally, GCF of Fractions for 7081/576, 5263/2013 is 1/386496.