GCF of 4110/276, 1809/6800
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4110/276, 1809/6800 i.e 3/469200 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4110/276, 1809/6800.
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 4110/276,1809/6800?
Given fractions are 4110/276,1809/6800
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 4110/276,1809/6800, numerators are 4110,1809
Denominators are 276,6800
The GCF of 4110,1809 is 3 .
LCM of 276,6800 is 469200.
The greatest common factor of 4110/276,1809/6800 = [GCF of 4110,1809]/[LCM of 276,6800]= 3/469200
Therefore, the GCF of 4110/276,1809/6800 is 3/469200.
To find the highest common factor of 4110,1809, we have to find the factors of both numbers and list the highest common factor.
The factors of 4110 are 1, 2, 3, 5, 6, 10, 15, 30, 137, 274, 411, 685, 822, 1370, 2055, 4110
The factors of 1809 are 1, 3, 9, 27, 67, 201, 603, 1809
The HCF of 4110,1809 is 3.
Lets's calculate GCF of 4110,1809
| 3 | 4110, 1809 |
| 1370, 603 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4110,1809 By Matching Biggest Common Factor Method
Now, list down the factors of 4110
:1,2,3,5,6,10,15,30,137,274,411,685,822,1370,2055,4110
Now, list down the factors of 1809
:1,3,9,27,67,201,603,1809
Greatest Common Factor
We found the factors 4110,1809 . The biggest common factor number is the GCF number.
So the greatest common factor 4110,1809 is 3.
Lets's calculate LCM of 276,6800
| 2 | 276, 6800 |
| 2 | 138, 3400 |
| 69, 1700 |
∴ So the LCM of the given numbers is 2 x 2 x 69 x 1700 = 469200
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/469200
Therefore, the GCF of Fractions 4110/276,1809/6800 is 3/469200
Least Common Multiple of 276,6800 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 276,6800 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(276,6800) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(276,6800) x common factors =4 x 1 = 4
LCM(276,6800) = ( 276 × 6800 ) / 4
LCM(276,6800) = 1876800 / 4
LCM(276,6800) = 469200
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FAQs on GCF of Fractions of 4110/276, 1809/6800
1. What is the HCF of 4110,1809?
The HCF of 4110,1809 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 4110/276, 1809/6800?
Answer: GCF of Numerators as per given numbers 4110/276, 1809/6800 is
GCF of Numerators i.e. for 4110,1809 is 3
LCM of denominators i.e. for 276,6800 is 469200.
Thus, GCF of Fractions is 3/469200.Finally, GCF of Fractions for 4110/276, 1809/6800 is 3/469200.