GCF of 7047/219, 4080/9387
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7047/219, 4080/9387 i.e 3/685251 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7047/219, 4080/9387.
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 7047/219,4080/9387?
Given fractions are 7047/219,4080/9387
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 7047/219,4080/9387, numerators are 7047,4080
Denominators are 219,9387
The GCF of 7047,4080 is 3 .
LCM of 219,9387 is 685251.
The greatest common factor of 7047/219,4080/9387 = [GCF of 7047,4080]/[LCM of 219,9387]= 3/685251
Therefore, the GCF of 7047/219,4080/9387 is 3/685251.
To find the highest common factor of 7047,4080, we have to find the factors of both numbers and list the highest common factor.
The factors of 7047 are 1, 3, 9, 27, 29, 81, 87, 243, 261, 783, 2349, 7047
The factors of 4080 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 17, 20, 24, 30, 34, 40, 48, 51, 60, 68, 80, 85, 102, 120, 136, 170, 204, 240, 255, 272, 340, 408, 510, 680, 816, 1020, 1360, 2040, 4080
The HCF of 7047,4080 is 3.
Lets's calculate GCF of 7047,4080
| 3 | 7047, 4080 |
| 2349, 1360 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 7047,4080 By Matching Biggest Common Factor Method
Now, list down the factors of 7047
:1,3,9,27,29,81,87,243,261,783,2349,7047
Now, list down the factors of 4080
:1,2,3,4,5,6,8,10,12,15,16,17,20,24,30,34,40,48,51,60,68,80,85,102,120,136,170,204,240,255,272,340,408,510,680,816,1020,1360,2040,4080
Greatest Common Factor
We found the factors 7047,4080 . The biggest common factor number is the GCF number.
So the greatest common factor 7047,4080 is 3.
Lets's calculate LCM of 219,9387
| 3 | 219, 9387 |
| 73, 3129 |
∴ So the LCM of the given numbers is 3 x 73 x 3129 = 685251
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/685251
Therefore, the GCF of Fractions 7047/219,4080/9387 is 3/685251
Least Common Multiple of 219,9387 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 219,9387 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(219,9387) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(219,9387) x common factors =3 x 1 = 3
LCM(219,9387) = ( 219 × 9387 ) / 3
LCM(219,9387) = 2055753 / 3
LCM(219,9387) = 685251
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FAQs on GCF of Fractions of 7047/219, 4080/9387
1. What is the HCF of 7047,4080?
The HCF of 7047,4080 is 3
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 7047/219, 4080/9387?
Answer: GCF of Numerators as per given numbers 7047/219, 4080/9387 is
GCF of Numerators i.e. for 7047,4080 is 3
LCM of denominators i.e. for 219,9387 is 685251.
Thus, GCF of Fractions is 3/685251.Finally, GCF of Fractions for 7047/219, 4080/9387 is 3/685251.