GCF of 7839/506, 9515/3858
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7839/506, 9515/3858 i.e 1/976074 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7839/506, 9515/3858.
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 7839/506,9515/3858?
Given fractions are 7839/506,9515/3858
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 7839/506,9515/3858, numerators are 7839,9515
Denominators are 506,3858
The GCF of 7839,9515 is 1 .
LCM of 506,3858 is 976074.
The greatest common factor of 7839/506,9515/3858 = [GCF of 7839,9515]/[LCM of 506,3858]= 1/976074
Therefore, the GCF of 7839/506,9515/3858 is 1/976074.
To find the highest common factor of 7839,9515, we have to find the factors of both numbers and list the highest common factor.
The factors of 7839 are 1, 3, 9, 13, 39, 67, 117, 201, 603, 871, 2613, 7839
The factors of 9515 are 1, 5, 11, 55, 173, 865, 1903, 9515
The HCF of 7839,9515 is 1.
Lets's calculate GCF of 7839,9515
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7839,9515 By Matching Biggest Common Factor Method
Now, list down the factors of 7839
:1,3,9,13,39,67,117,201,603,871,2613,7839
Now, list down the factors of 9515
:1,5,11,55,173,865,1903,9515
Greatest Common Factor
We found the factors 7839,9515 . The biggest common factor number is the GCF number.
So the greatest common factor 7839,9515 is 1.
Lets's calculate LCM of 506,3858
| 2 | 506, 3858 |
| 253, 1929 |
∴ So the LCM of the given numbers is 2 x 253 x 1929 = 976074
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/976074
Therefore, the GCF of Fractions 7839/506,9515/3858 is 1/976074
Least Common Multiple of 506,3858 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 506,3858 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(506,3858) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(506,3858) x common factors =2 x 1 = 2
LCM(506,3858) = ( 506 × 3858 ) / 2
LCM(506,3858) = 1952148 / 2
LCM(506,3858) = 976074
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FAQs on GCF of Fractions of 7839/506, 9515/3858
1. What is the HCF of 7839,9515?
The HCF of 7839,9515 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 7839/506, 9515/3858?
Answer: GCF of Numerators as per given numbers 7839/506, 9515/3858 is
GCF of Numerators i.e. for 7839,9515 is 1
LCM of denominators i.e. for 506,3858 is 976074.
Thus, GCF of Fractions is 1/976074.Finally, GCF of Fractions for 7839/506, 9515/3858 is 1/976074.