GCF of 9932/489, 5213/3864
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9932/489, 5213/3864 i.e 13/629832 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9932/489, 5213/3864.
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 9932/489,5213/3864?
Given fractions are 9932/489,5213/3864
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 9932/489,5213/3864, numerators are 9932,5213
Denominators are 489,3864
The GCF of 9932,5213 is 13 .
LCM of 489,3864 is 629832.
The greatest common factor of 9932/489,5213/3864 = [GCF of 9932,5213]/[LCM of 489,3864]= 13/629832
Therefore, the GCF of 9932/489,5213/3864 is 13/629832.
To find the highest common factor of 9932,5213, we have to find the factors of both numbers and list the highest common factor.
The factors of 9932 are 1, 2, 4, 13, 26, 52, 191, 382, 764, 2483, 4966, 9932
The factors of 5213 are 1, 13, 401, 5213
The HCF of 9932,5213 is 13.
Lets's calculate GCF of 9932,5213
| 13 | 9932, 5213 |
| 764, 401 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 9932,5213 By Matching Biggest Common Factor Method
Now, list down the factors of 9932
:1,2,4,13,26,52,191,382,764,2483,4966,9932
Now, list down the factors of 5213
:1,13,401,5213
Greatest Common Factor
We found the factors 9932,5213 . The biggest common factor number is the GCF number.
So the greatest common factor 9932,5213 is 13.
Lets's calculate LCM of 489,3864
| 3 | 489, 3864 |
| 163, 1288 |
∴ So the LCM of the given numbers is 3 x 163 x 1288 = 629832
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/629832
Therefore, the GCF of Fractions 9932/489,5213/3864 is 13/629832
Least Common Multiple of 489,3864 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 489,3864 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(489,3864) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(489,3864) x common factors =3 x 1 = 3
LCM(489,3864) = ( 489 × 3864 ) / 3
LCM(489,3864) = 1889496 / 3
LCM(489,3864) = 629832
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FAQs on GCF of Fractions of 9932/489, 5213/3864
1. What is the HCF of 9932,5213?
The HCF of 9932,5213 is 13
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 9932/489, 5213/3864?
Answer: GCF of Numerators as per given numbers 9932/489, 5213/3864 is
GCF of Numerators i.e. for 9932,5213 is 13
LCM of denominators i.e. for 489,3864 is 629832.
Thus, GCF of Fractions is 13/629832.Finally, GCF of Fractions for 9932/489, 5213/3864 is 13/629832.