GCF of 6399/447, 8307/2421
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6399/447, 8307/2421 i.e 9/360729 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6399/447, 8307/2421.
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 6399/447,8307/2421?
Given fractions are 6399/447,8307/2421
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 6399/447,8307/2421, numerators are 6399,8307
Denominators are 447,2421
The GCF of 6399,8307 is 9 .
LCM of 447,2421 is 360729.
The greatest common factor of 6399/447,8307/2421 = [GCF of 6399,8307]/[LCM of 447,2421]= 9/360729
Therefore, the GCF of 6399/447,8307/2421 is 9/360729.
To find the highest common factor of 6399,8307, we have to find the factors of both numbers and list the highest common factor.
The factors of 6399 are 1, 3, 9, 27, 79, 81, 237, 711, 2133, 6399
The factors of 8307 are 1, 3, 9, 13, 39, 71, 117, 213, 639, 923, 2769, 8307
The HCF of 6399,8307 is 9.
Lets's calculate GCF of 6399,8307
| 3 | 6399, 8307 |
| 3 | 2133, 2769 |
| 711, 923 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 6399,8307 By Matching Biggest Common Factor Method
Now, list down the factors of 6399
:1,3,9,27,79,81,237,711,2133,6399
Now, list down the factors of 8307
:1,3,9,13,39,71,117,213,639,923,2769,8307
Greatest Common Factor
We found the factors 6399,8307 . The biggest common factor number is the GCF number.
So the greatest common factor 6399,8307 is 9.
Lets's calculate LCM of 447,2421
| 3 | 447, 2421 |
| 149, 807 |
∴ So the LCM of the given numbers is 3 x 149 x 807 = 360729
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/360729
Therefore, the GCF of Fractions 6399/447,8307/2421 is 9/360729
Least Common Multiple of 447,2421 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 447,2421 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(447,2421) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(447,2421) x common factors =3 x 1 = 3
LCM(447,2421) = ( 447 × 2421 ) / 3
LCM(447,2421) = 1082187 / 3
LCM(447,2421) = 360729
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FAQs on GCF of Fractions of 6399/447, 8307/2421
1. What is the HCF of 6399,8307?
The HCF of 6399,8307 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 6399/447, 8307/2421?
Answer: GCF of Numerators as per given numbers 6399/447, 8307/2421 is
GCF of Numerators i.e. for 6399,8307 is 9
LCM of denominators i.e. for 447,2421 is 360729.
Thus, GCF of Fractions is 9/360729.Finally, GCF of Fractions for 6399/447, 8307/2421 is 9/360729.