GCF of 7383/834, 2413/4864
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7383/834, 2413/4864 i.e 1/2028288 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7383/834, 2413/4864.
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 7383/834,2413/4864?
Given fractions are 7383/834,2413/4864
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 7383/834,2413/4864, numerators are 7383,2413
Denominators are 834,4864
The GCF of 7383,2413 is 1 .
LCM of 834,4864 is 2028288.
The greatest common factor of 7383/834,2413/4864 = [GCF of 7383,2413]/[LCM of 834,4864]= 1/2028288
Therefore, the GCF of 7383/834,2413/4864 is 1/2028288.
To find the highest common factor of 7383,2413, we have to find the factors of both numbers and list the highest common factor.
The factors of 7383 are 1, 3, 23, 69, 107, 321, 2461, 7383
The factors of 2413 are 1, 19, 127, 2413
The HCF of 7383,2413 is 1.
Lets's calculate GCF of 7383,2413
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7383,2413 By Matching Biggest Common Factor Method
Now, list down the factors of 7383
:1,3,23,69,107,321,2461,7383
Now, list down the factors of 2413
:1,19,127,2413
Greatest Common Factor
We found the factors 7383,2413 . The biggest common factor number is the GCF number.
So the greatest common factor 7383,2413 is 1.
Lets's calculate LCM of 834,4864
| 2 | 834, 4864 |
| 417, 2432 |
∴ So the LCM of the given numbers is 2 x 417 x 2432 = 2028288
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2028288
Therefore, the GCF of Fractions 7383/834,2413/4864 is 1/2028288
Least Common Multiple of 834,4864 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 834,4864 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(834,4864) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(834,4864) x common factors =2 x 1 = 2
LCM(834,4864) = ( 834 × 4864 ) / 2
LCM(834,4864) = 4056576 / 2
LCM(834,4864) = 2028288
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FAQs on GCF of Fractions of 7383/834, 2413/4864
1. What is the HCF of 7383,2413?
The HCF of 7383,2413 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 7383/834, 2413/4864?
Answer: GCF of Numerators as per given numbers 7383/834, 2413/4864 is
GCF of Numerators i.e. for 7383,2413 is 1
LCM of denominators i.e. for 834,4864 is 2028288.
Thus, GCF of Fractions is 1/2028288.Finally, GCF of Fractions for 7383/834, 2413/4864 is 1/2028288.