GCF of 6477/838, 3060/4471
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6477/838, 3060/4471 i.e 51/3746698 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6477/838, 3060/4471.
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 6477/838,3060/4471?
Given fractions are 6477/838,3060/4471
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 6477/838,3060/4471, numerators are 6477,3060
Denominators are 838,4471
The GCF of 6477,3060 is 51 .
LCM of 838,4471 is 3746698.
The greatest common factor of 6477/838,3060/4471 = [GCF of 6477,3060]/[LCM of 838,4471]= 51/3746698
Therefore, the GCF of 6477/838,3060/4471 is 51/3746698.
To find the highest common factor of 6477,3060, we have to find the factors of both numbers and list the highest common factor.
The factors of 6477 are 1, 3, 17, 51, 127, 381, 2159, 6477
The factors of 3060 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 17, 18, 20, 30, 34, 36, 45, 51, 60, 68, 85, 90, 102, 153, 170, 180, 204, 255, 306, 340, 510, 612, 765, 1020, 1530, 3060
The HCF of 6477,3060 is 51.
Lets's calculate GCF of 6477,3060
| 3 | 6477, 3060 |
| 17 | 2159, 1020 |
| 127, 60 |
∴ So the GCF of the given numbers is 3 x 17 = 51
Greatest Common Factor of 6477,3060 By Matching Biggest Common Factor Method
Now, list down the factors of 6477
:1,3,17,51,127,381,2159,6477
Now, list down the factors of 3060
:1,2,3,4,5,6,9,10,12,15,17,18,20,30,34,36,45,51,60,68,85,90,102,153,170,180,204,255,306,340,510,612,765,1020,1530,3060
Greatest Common Factor
We found the factors 6477,3060 . The biggest common factor number is the GCF number.
So the greatest common factor 6477,3060 is 51.
Lets's calculate LCM of 838,4471
Given numbers has no common factors except 1. So, there LCM is their product i.e 3746698
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 51/3746698
Therefore, the GCF of Fractions 6477/838,3060/4471 is 51/3746698
Least Common Multiple of 838,4471 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 838,4471 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(838,4471) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(838,4471) x common factors =1 x 1 = 1
LCM(838,4471) = ( 838 × 4471 ) / 1
LCM(838,4471) = 3746698 / 1
LCM(838,4471) = 3746698
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FAQs on GCF of Fractions of 6477/838, 3060/4471
1. What is the HCF of 6477,3060?
The HCF of 6477,3060 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 6477/838, 3060/4471?
Answer: GCF of Numerators as per given numbers 6477/838, 3060/4471 is
GCF of Numerators i.e. for 6477,3060 is 51
LCM of denominators i.e. for 838,4471 is 3746698.
Thus, GCF of Fractions is 51/3746698.Finally, GCF of Fractions for 6477/838, 3060/4471 is 51/3746698.