GCF of 4856/309, 8029/7686
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4856/309, 8029/7686 i.e 1/791658 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4856/309, 8029/7686.
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 4856/309,8029/7686?
Given fractions are 4856/309,8029/7686
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 4856/309,8029/7686, numerators are 4856,8029
Denominators are 309,7686
The GCF of 4856,8029 is 1 .
LCM of 309,7686 is 791658.
The greatest common factor of 4856/309,8029/7686 = [GCF of 4856,8029]/[LCM of 309,7686]= 1/791658
Therefore, the GCF of 4856/309,8029/7686 is 1/791658.
To find the highest common factor of 4856,8029, we have to find the factors of both numbers and list the highest common factor.
The factors of 4856 are 1, 2, 4, 8, 607, 1214, 2428, 4856
The factors of 8029 are 1, 7, 31, 37, 217, 259, 1147, 8029
The HCF of 4856,8029 is 1.
Lets's calculate GCF of 4856,8029
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4856,8029 By Matching Biggest Common Factor Method
Now, list down the factors of 4856
:1,2,4,8,607,1214,2428,4856
Now, list down the factors of 8029
:1,7,31,37,217,259,1147,8029
Greatest Common Factor
We found the factors 4856,8029 . The biggest common factor number is the GCF number.
So the greatest common factor 4856,8029 is 1.
Lets's calculate LCM of 309,7686
| 3 | 309, 7686 |
| 103, 2562 |
∴ So the LCM of the given numbers is 3 x 103 x 2562 = 791658
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/791658
Therefore, the GCF of Fractions 4856/309,8029/7686 is 1/791658
Least Common Multiple of 309,7686 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 309,7686 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(309,7686) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(309,7686) x common factors =3 x 1 = 3
LCM(309,7686) = ( 309 × 7686 ) / 3
LCM(309,7686) = 2374974 / 3
LCM(309,7686) = 791658
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FAQs on GCF of Fractions of 4856/309, 8029/7686
1. What is the HCF of 4856,8029?
The HCF of 4856,8029 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 4856/309, 8029/7686?
Answer: GCF of Numerators as per given numbers 4856/309, 8029/7686 is
GCF of Numerators i.e. for 4856,8029 is 1
LCM of denominators i.e. for 309,7686 is 791658.
Thus, GCF of Fractions is 1/791658.Finally, GCF of Fractions for 4856/309, 8029/7686 is 1/791658.