GCF of 4041/585, 9909/8406
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4041/585, 9909/8406 i.e 9/546390 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4041/585, 9909/8406.
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 4041/585,9909/8406?
Given fractions are 4041/585,9909/8406
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 4041/585,9909/8406, numerators are 4041,9909
Denominators are 585,8406
The GCF of 4041,9909 is 9 .
LCM of 585,8406 is 546390.
The greatest common factor of 4041/585,9909/8406 = [GCF of 4041,9909]/[LCM of 585,8406]= 9/546390
Therefore, the GCF of 4041/585,9909/8406 is 9/546390.
To find the highest common factor of 4041,9909, we have to find the factors of both numbers and list the highest common factor.
The factors of 4041 are 1, 3, 9, 449, 1347, 4041
The factors of 9909 are 1, 3, 9, 27, 367, 1101, 3303, 9909
The HCF of 4041,9909 is 9.
Lets's calculate GCF of 4041,9909
| 3 | 4041, 9909 |
| 3 | 1347, 3303 |
| 449, 1101 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 4041,9909 By Matching Biggest Common Factor Method
Now, list down the factors of 4041
:1,3,9,449,1347,4041
Now, list down the factors of 9909
:1,3,9,27,367,1101,3303,9909
Greatest Common Factor
We found the factors 4041,9909 . The biggest common factor number is the GCF number.
So the greatest common factor 4041,9909 is 9.
Lets's calculate LCM of 585,8406
| 3 | 585, 8406 |
| 3 | 195, 2802 |
| 65, 934 |
∴ So the LCM of the given numbers is 3 x 3 x 65 x 934 = 546390
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/546390
Therefore, the GCF of Fractions 4041/585,9909/8406 is 9/546390
Least Common Multiple of 585,8406 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 585,8406 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(585,8406) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(585,8406) x common factors =9 x 1 = 9
LCM(585,8406) = ( 585 × 8406 ) / 9
LCM(585,8406) = 4917510 / 9
LCM(585,8406) = 546390
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FAQs on GCF of Fractions of 4041/585, 9909/8406
1. What is the HCF of 4041,9909?
The HCF of 4041,9909 is 9
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 4041/585, 9909/8406?
Answer: GCF of Numerators as per given numbers 4041/585, 9909/8406 is
GCF of Numerators i.e. for 4041,9909 is 9
LCM of denominators i.e. for 585,8406 is 546390.
Thus, GCF of Fractions is 9/546390.Finally, GCF of Fractions for 4041/585, 9909/8406 is 9/546390.