GCF of 4332/363, 8439/9960
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4332/363, 8439/9960 i.e 3/1205160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4332/363, 8439/9960.
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 4332/363,8439/9960?
Given fractions are 4332/363,8439/9960
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 4332/363,8439/9960, numerators are 4332,8439
Denominators are 363,9960
The GCF of 4332,8439 is 3 .
LCM of 363,9960 is 1205160.
The greatest common factor of 4332/363,8439/9960 = [GCF of 4332,8439]/[LCM of 363,9960]= 3/1205160
Therefore, the GCF of 4332/363,8439/9960 is 3/1205160.
To find the highest common factor of 4332,8439, we have to find the factors of both numbers and list the highest common factor.
The factors of 4332 are 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228, 361, 722, 1083, 1444, 2166, 4332
The factors of 8439 are 1, 3, 29, 87, 97, 291, 2813, 8439
The HCF of 4332,8439 is 3.
Lets's calculate GCF of 4332,8439
| 3 | 4332, 8439 |
| 1444, 2813 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4332,8439 By Matching Biggest Common Factor Method
Now, list down the factors of 4332
:1,2,3,4,6,12,19,38,57,76,114,228,361,722,1083,1444,2166,4332
Now, list down the factors of 8439
:1,3,29,87,97,291,2813,8439
Greatest Common Factor
We found the factors 4332,8439 . The biggest common factor number is the GCF number.
So the greatest common factor 4332,8439 is 3.
Lets's calculate LCM of 363,9960
| 3 | 363, 9960 |
| 121, 3320 |
∴ So the LCM of the given numbers is 3 x 121 x 3320 = 1205160
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1205160
Therefore, the GCF of Fractions 4332/363,8439/9960 is 3/1205160
Least Common Multiple of 363,9960 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 363,9960 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(363,9960) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(363,9960) x common factors =3 x 1 = 3
LCM(363,9960) = ( 363 × 9960 ) / 3
LCM(363,9960) = 3615480 / 3
LCM(363,9960) = 1205160
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FAQs on GCF of Fractions of 4332/363, 8439/9960
1. What is the HCF of 4332,8439?
The HCF of 4332,8439 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 4332/363, 8439/9960?
Answer: GCF of Numerators as per given numbers 4332/363, 8439/9960 is
GCF of Numerators i.e. for 4332,8439 is 3
LCM of denominators i.e. for 363,9960 is 1205160.
Thus, GCF of Fractions is 3/1205160.Finally, GCF of Fractions for 4332/363, 8439/9960 is 3/1205160.