GCF of 2461/521, 7704/6391
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2461/521, 7704/6391 i.e 107/3329711 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2461/521, 7704/6391.
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 2461/521,7704/6391?
Given fractions are 2461/521,7704/6391
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 2461/521,7704/6391, numerators are 2461,7704
Denominators are 521,6391
The GCF of 2461,7704 is 107 .
LCM of 521,6391 is 3329711.
The greatest common factor of 2461/521,7704/6391 = [GCF of 2461,7704]/[LCM of 521,6391]= 107/3329711
Therefore, the GCF of 2461/521,7704/6391 is 107/3329711.
To find the highest common factor of 2461,7704, we have to find the factors of both numbers and list the highest common factor.
The factors of 2461 are 1, 23, 107, 2461
The factors of 7704 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 107, 214, 321, 428, 642, 856, 963, 1284, 1926, 2568, 3852, 7704
The HCF of 2461,7704 is 107.
Lets's calculate GCF of 2461,7704
| 107 | 2461, 7704 |
| 23, 72 |
∴ So the GCF of the given numbers is 107 = 107
Greatest Common Factor of 2461,7704 By Matching Biggest Common Factor Method
Now, list down the factors of 2461
:1,23,107,2461
Now, list down the factors of 7704
:1,2,3,4,6,8,9,12,18,24,36,72,107,214,321,428,642,856,963,1284,1926,2568,3852,7704
Greatest Common Factor
We found the factors 2461,7704 . The biggest common factor number is the GCF number.
So the greatest common factor 2461,7704 is 107.
Lets's calculate LCM of 521,6391
Given numbers has no common factors except 1. So, there LCM is their product i.e 3329711
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 107/3329711
Therefore, the GCF of Fractions 2461/521,7704/6391 is 107/3329711
Least Common Multiple of 521,6391 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 521,6391 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(521,6391) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(521,6391) x common factors =1 x 1 = 1
LCM(521,6391) = ( 521 × 6391 ) / 1
LCM(521,6391) = 3329711 / 1
LCM(521,6391) = 3329711
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FAQs on GCF of Fractions of 2461/521, 7704/6391
1. What is the HCF of 2461,7704?
The HCF of 2461,7704 is 107
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 2461/521, 7704/6391?
Answer: GCF of Numerators as per given numbers 2461/521, 7704/6391 is
GCF of Numerators i.e. for 2461,7704 is 107
LCM of denominators i.e. for 521,6391 is 3329711.
Thus, GCF of Fractions is 107/3329711.Finally, GCF of Fractions for 2461/521, 7704/6391 is 107/3329711.