GCF of 7293/311, 4080/451
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7293/311, 4080/451 i.e 51/140261 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7293/311, 4080/451.
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 7293/311,4080/451?
Given fractions are 7293/311,4080/451
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 7293/311,4080/451, numerators are 7293,4080
Denominators are 311,451
The GCF of 7293,4080 is 51 .
LCM of 311,451 is 140261.
The greatest common factor of 7293/311,4080/451 = [GCF of 7293,4080]/[LCM of 311,451]= 51/140261
Therefore, the GCF of 7293/311,4080/451 is 51/140261.
To find the highest common factor of 7293,4080, we have to find the factors of both numbers and list the highest common factor.
The factors of 7293 are 1, 3, 11, 13, 17, 33, 39, 51, 143, 187, 221, 429, 561, 663, 2431, 7293
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 7293,4080 is 51.
Lets's calculate GCF of 7293,4080
| 3 | 7293, 4080 |
| 17 | 2431, 1360 |
| 143, 80 |
∴ So the GCF of the given numbers is 3 x 17 = 51
Greatest Common Factor of 7293,4080 By Matching Biggest Common Factor Method
Now, list down the factors of 7293
:1,3,11,13,17,33,39,51,143,187,221,429,561,663,2431,7293
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 7293,4080 . The biggest common factor number is the GCF number.
So the greatest common factor 7293,4080 is 51.
Lets's calculate LCM of 311,451
Given numbers has no common factors except 1. So, there LCM is their product i.e 140261
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 51/140261
Therefore, the GCF of Fractions 7293/311,4080/451 is 51/140261
Least Common Multiple of 311,451 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 311,451 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(311,451) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(311,451) x common factors =1 x 1 = 1
LCM(311,451) = ( 311 × 451 ) / 1
LCM(311,451) = 140261 / 1
LCM(311,451) = 140261
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FAQs on GCF of Fractions of 7293/311, 4080/451
1. What is the HCF of 7293,4080?
The HCF of 7293,4080 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 7293/311, 4080/451?
Answer: GCF of Numerators as per given numbers 7293/311, 4080/451 is
GCF of Numerators i.e. for 7293,4080 is 51
LCM of denominators i.e. for 311,451 is 140261.
Thus, GCF of Fractions is 51/140261.Finally, GCF of Fractions for 7293/311, 4080/451 is 51/140261.