GCF of 6681/963, 9180/6873
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6681/963, 9180/6873 i.e 51/2206233 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6681/963, 9180/6873.
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 6681/963,9180/6873?
Given fractions are 6681/963,9180/6873
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 6681/963,9180/6873, numerators are 6681,9180
Denominators are 963,6873
The GCF of 6681,9180 is 51 .
LCM of 963,6873 is 2206233.
The greatest common factor of 6681/963,9180/6873 = [GCF of 6681,9180]/[LCM of 963,6873]= 51/2206233
Therefore, the GCF of 6681/963,9180/6873 is 51/2206233.
To find the highest common factor of 6681,9180, we have to find the factors of both numbers and list the highest common factor.
The factors of 6681 are 1, 3, 17, 51, 131, 393, 2227, 6681
The factors of 9180 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 17, 18, 20, 27, 30, 34, 36, 45, 51, 54, 60, 68, 85, 90, 102, 108, 135, 153, 170, 180, 204, 255, 270, 306, 340, 459, 510, 540, 612, 765, 918, 1020, 1530, 1836, 2295, 3060, 4590, 9180
The HCF of 6681,9180 is 51.
Lets's calculate GCF of 6681,9180
| 3 | 6681, 9180 |
| 17 | 2227, 3060 |
| 131, 180 |
∴ So the GCF of the given numbers is 3 x 17 = 51
Greatest Common Factor of 6681,9180 By Matching Biggest Common Factor Method
Now, list down the factors of 6681
:1,3,17,51,131,393,2227,6681
Now, list down the factors of 9180
:1,2,3,4,5,6,9,10,12,15,17,18,20,27,30,34,36,45,51,54,60,68,85,90,102,108,135,153,170,180,204,255,270,306,340,459,510,540,612,765,918,1020,1530,1836,2295,3060,4590,9180
Greatest Common Factor
We found the factors 6681,9180 . The biggest common factor number is the GCF number.
So the greatest common factor 6681,9180 is 51.
Lets's calculate LCM of 963,6873
| 3 | 963, 6873 |
| 321, 2291 |
∴ So the LCM of the given numbers is 3 x 321 x 2291 = 2206233
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 51/2206233
Therefore, the GCF of Fractions 6681/963,9180/6873 is 51/2206233
Least Common Multiple of 963,6873 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 963,6873 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(963,6873) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(963,6873) x common factors =3 x 1 = 3
LCM(963,6873) = ( 963 × 6873 ) / 3
LCM(963,6873) = 6618699 / 3
LCM(963,6873) = 2206233
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 6681/963, 9180/6873
1. What is the HCF of 6681,9180?
The HCF of 6681,9180 is 51
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 6681/963, 9180/6873?
Answer: GCF of Numerators as per given numbers 6681/963, 9180/6873 is
GCF of Numerators i.e. for 6681,9180 is 51
LCM of denominators i.e. for 963,6873 is 2206233.
Thus, GCF of Fractions is 51/2206233.Finally, GCF of Fractions for 6681/963, 9180/6873 is 51/2206233.