GCF of 2407/543, 5191/729
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2407/543, 5191/729 i.e 29/131949 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2407/543, 5191/729.
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 2407/543,5191/729?
Given fractions are 2407/543,5191/729
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 2407/543,5191/729, numerators are 2407,5191
Denominators are 543,729
The GCF of 2407,5191 is 29 .
LCM of 543,729 is 131949.
The greatest common factor of 2407/543,5191/729 = [GCF of 2407,5191]/[LCM of 543,729]= 29/131949
Therefore, the GCF of 2407/543,5191/729 is 29/131949.
To find the highest common factor of 2407,5191, we have to find the factors of both numbers and list the highest common factor.
The factors of 2407 are 1, 29, 83, 2407
The factors of 5191 are 1, 29, 179, 5191
The HCF of 2407,5191 is 29.
Lets's calculate GCF of 2407,5191
| 29 | 2407, 5191 |
| 83, 179 |
∴ So the GCF of the given numbers is 29 = 29
Greatest Common Factor of 2407,5191 By Matching Biggest Common Factor Method
Now, list down the factors of 2407
:1,29,83,2407
Now, list down the factors of 5191
:1,29,179,5191
Greatest Common Factor
We found the factors 2407,5191 . The biggest common factor number is the GCF number.
So the greatest common factor 2407,5191 is 29.
Lets's calculate LCM of 543,729
| 3 | 543, 729 |
| 181, 243 |
∴ So the LCM of the given numbers is 3 x 181 x 243 = 131949
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 29/131949
Therefore, the GCF of Fractions 2407/543,5191/729 is 29/131949
Least Common Multiple of 543,729 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 543,729 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(543,729) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(543,729) x common factors =3 x 1 = 3
LCM(543,729) = ( 543 × 729 ) / 3
LCM(543,729) = 395847 / 3
LCM(543,729) = 131949
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FAQs on GCF of Fractions of 2407/543, 5191/729
1. What is the HCF of 2407,5191?
The HCF of 2407,5191 is 29
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 2407/543, 5191/729?
Answer: GCF of Numerators as per given numbers 2407/543, 5191/729 is
GCF of Numerators i.e. for 2407,5191 is 29
LCM of denominators i.e. for 543,729 is 131949.
Thus, GCF of Fractions is 29/131949.Finally, GCF of Fractions for 2407/543, 5191/729 is 29/131949.