GCF of 4034/729, 7928/8079
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4034/729, 7928/8079 i.e 2/1963197 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4034/729, 7928/8079.
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 4034/729,7928/8079?
Given fractions are 4034/729,7928/8079
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 4034/729,7928/8079, numerators are 4034,7928
Denominators are 729,8079
The GCF of 4034,7928 is 2 .
LCM of 729,8079 is 1963197.
The greatest common factor of 4034/729,7928/8079 = [GCF of 4034,7928]/[LCM of 729,8079]= 2/1963197
Therefore, the GCF of 4034/729,7928/8079 is 2/1963197.
To find the highest common factor of 4034,7928, we have to find the factors of both numbers and list the highest common factor.
The factors of 4034 are 1, 2, 2017, 4034
The factors of 7928 are 1, 2, 4, 8, 991, 1982, 3964, 7928
The HCF of 4034,7928 is 2.
Lets's calculate GCF of 4034,7928
| 2 | 4034, 7928 |
| 2017, 3964 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4034,7928 By Matching Biggest Common Factor Method
Now, list down the factors of 4034
:1,2,2017,4034
Now, list down the factors of 7928
:1,2,4,8,991,1982,3964,7928
Greatest Common Factor
We found the factors 4034,7928 . The biggest common factor number is the GCF number.
So the greatest common factor 4034,7928 is 2.
Lets's calculate LCM of 729,8079
| 3 | 729, 8079 |
| 243, 2693 |
∴ So the LCM of the given numbers is 3 x 243 x 2693 = 1963197
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1963197
Therefore, the GCF of Fractions 4034/729,7928/8079 is 2/1963197
Least Common Multiple of 729,8079 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 729,8079 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(729,8079) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(729,8079) x common factors =3 x 1 = 3
LCM(729,8079) = ( 729 × 8079 ) / 3
LCM(729,8079) = 5889591 / 3
LCM(729,8079) = 1963197
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FAQs on GCF of Fractions of 4034/729, 7928/8079
1. What is the HCF of 4034,7928?
The HCF of 4034,7928 is 2
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 4034/729, 7928/8079?
Answer: GCF of Numerators as per given numbers 4034/729, 7928/8079 is
GCF of Numerators i.e. for 4034,7928 is 2
LCM of denominators i.e. for 729,8079 is 1963197.
Thus, GCF of Fractions is 2/1963197.Finally, GCF of Fractions for 4034/729, 7928/8079 is 2/1963197.