GCF of 396/18, 459/6720
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 396/18, 459/6720 i.e 9/20160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 396/18, 459/6720.
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 396/18,459/6720?
Given fractions are 396/18,459/6720
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 396/18,459/6720, numerators are 396,459
Denominators are 18,6720
The GCF of 396,459 is 9 .
LCM of 18,6720 is 20160.
The greatest common factor of 396/18,459/6720 = [GCF of 396,459]/[LCM of 18,6720]= 9/20160
Therefore, the GCF of 396/18,459/6720 is 9/20160.
To find the highest common factor of 396,459, we have to find the factors of both numbers and list the highest common factor.
The factors of 396 are 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
The factors of 459 are 1, 3, 9, 17, 27, 51, 153, 459
The HCF of 396,459 is 9.
Lets's calculate GCF of 396,459
| 3 | 396, 459 |
| 3 | 132, 153 |
| 44, 51 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 396,459 By Matching Biggest Common Factor Method
Now, list down the factors of 396
:1,2,3,4,6,9,11,12,18,22,33,36,44,66,99,132,198,396
Now, list down the factors of 459
:1,3,9,17,27,51,153,459
Greatest Common Factor
We found the factors 396,459 . The biggest common factor number is the GCF number.
So the greatest common factor 396,459 is 9.
Lets's calculate LCM of 18,6720
| 2 | 18, 6720 |
| 3 | 9, 3360 |
| 3, 1120 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 1120 = 20160
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/20160
Therefore, the GCF of Fractions 396/18,459/6720 is 9/20160
Least Common Multiple of 18,6720 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 18,6720 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(18,6720) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(18,6720) x common factors =6 x 1 = 6
LCM(18,6720) = ( 18 × 6720 ) / 6
LCM(18,6720) = 120960 / 6
LCM(18,6720) = 20160
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FAQs on GCF of Fractions of 396/18, 459/6720
1. What is the HCF of 396,459?
The HCF of 396,459 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 396/18, 459/6720?
Answer: GCF of Numerators as per given numbers 396/18, 459/6720 is
GCF of Numerators i.e. for 396,459 is 9
LCM of denominators i.e. for 18,6720 is 20160.
Thus, GCF of Fractions is 9/20160.Finally, GCF of Fractions for 396/18, 459/6720 is 9/20160.