GCF of 4334/369, 5995/9923
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4334/369, 5995/9923 i.e 11/3661587 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4334/369, 5995/9923.
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 4334/369,5995/9923?
Given fractions are 4334/369,5995/9923
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 4334/369,5995/9923, numerators are 4334,5995
Denominators are 369,9923
The GCF of 4334,5995 is 11 .
LCM of 369,9923 is 3661587.
The greatest common factor of 4334/369,5995/9923 = [GCF of 4334,5995]/[LCM of 369,9923]= 11/3661587
Therefore, the GCF of 4334/369,5995/9923 is 11/3661587.
To find the highest common factor of 4334,5995, we have to find the factors of both numbers and list the highest common factor.
The factors of 4334 are 1, 2, 11, 22, 197, 394, 2167, 4334
The factors of 5995 are 1, 5, 11, 55, 109, 545, 1199, 5995
The HCF of 4334,5995 is 11.
Lets's calculate GCF of 4334,5995
| 11 | 4334, 5995 |
| 394, 545 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 4334,5995 By Matching Biggest Common Factor Method
Now, list down the factors of 4334
:1,2,11,22,197,394,2167,4334
Now, list down the factors of 5995
:1,5,11,55,109,545,1199,5995
Greatest Common Factor
We found the factors 4334,5995 . The biggest common factor number is the GCF number.
So the greatest common factor 4334,5995 is 11.
Lets's calculate LCM of 369,9923
Given numbers has no common factors except 1. So, there LCM is their product i.e 3661587
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/3661587
Therefore, the GCF of Fractions 4334/369,5995/9923 is 11/3661587
Least Common Multiple of 369,9923 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 369,9923 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(369,9923) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(369,9923) x common factors =1 x 1 = 1
LCM(369,9923) = ( 369 × 9923 ) / 1
LCM(369,9923) = 3661587 / 1
LCM(369,9923) = 3661587
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FAQs on GCF of Fractions of 4334/369, 5995/9923
1. What is the HCF of 4334,5995?
The HCF of 4334,5995 is 11
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 4334/369, 5995/9923?
Answer: GCF of Numerators as per given numbers 4334/369, 5995/9923 is
GCF of Numerators i.e. for 4334,5995 is 11
LCM of denominators i.e. for 369,9923 is 3661587.
Thus, GCF of Fractions is 11/3661587.Finally, GCF of Fractions for 4334/369, 5995/9923 is 11/3661587.