GCF of 5898/976, 4515/9596
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5898/976, 4515/9596 i.e 3/2341424 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5898/976, 4515/9596.
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 5898/976,4515/9596?
Given fractions are 5898/976,4515/9596
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 5898/976,4515/9596, numerators are 5898,4515
Denominators are 976,9596
The GCF of 5898,4515 is 3 .
LCM of 976,9596 is 2341424.
The greatest common factor of 5898/976,4515/9596 = [GCF of 5898,4515]/[LCM of 976,9596]= 3/2341424
Therefore, the GCF of 5898/976,4515/9596 is 3/2341424.
To find the highest common factor of 5898,4515, we have to find the factors of both numbers and list the highest common factor.
The factors of 5898 are 1, 2, 3, 6, 983, 1966, 2949, 5898
The factors of 4515 are 1, 3, 5, 7, 15, 21, 35, 43, 105, 129, 215, 301, 645, 903, 1505, 4515
The HCF of 5898,4515 is 3.
Lets's calculate GCF of 5898,4515
| 3 | 5898, 4515 |
| 1966, 1505 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5898,4515 By Matching Biggest Common Factor Method
Now, list down the factors of 5898
:1,2,3,6,983,1966,2949,5898
Now, list down the factors of 4515
:1,3,5,7,15,21,35,43,105,129,215,301,645,903,1505,4515
Greatest Common Factor
We found the factors 5898,4515 . The biggest common factor number is the GCF number.
So the greatest common factor 5898,4515 is 3.
Lets's calculate LCM of 976,9596
| 2 | 976, 9596 |
| 2 | 488, 4798 |
| 244, 2399 |
∴ So the LCM of the given numbers is 2 x 2 x 244 x 2399 = 2341424
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2341424
Therefore, the GCF of Fractions 5898/976,4515/9596 is 3/2341424
Least Common Multiple of 976,9596 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 976,9596 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(976,9596) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(976,9596) x common factors =4 x 1 = 4
LCM(976,9596) = ( 976 × 9596 ) / 4
LCM(976,9596) = 9365696 / 4
LCM(976,9596) = 2341424
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FAQs on GCF of Fractions of 5898/976, 4515/9596
1. What is the HCF of 5898,4515?
The HCF of 5898,4515 is 3
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 5898/976, 4515/9596?
Answer: GCF of Numerators as per given numbers 5898/976, 4515/9596 is
GCF of Numerators i.e. for 5898,4515 is 3
LCM of denominators i.e. for 976,9596 is 2341424.
Thus, GCF of Fractions is 3/2341424.Finally, GCF of Fractions for 5898/976, 4515/9596 is 3/2341424.