GCF of 2211/321, 2904/8148
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2211/321, 2904/8148 i.e 33/871836 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2211/321, 2904/8148.
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 2211/321,2904/8148?
Given fractions are 2211/321,2904/8148
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 2211/321,2904/8148, numerators are 2211,2904
Denominators are 321,8148
The GCF of 2211,2904 is 33 .
LCM of 321,8148 is 871836.
The greatest common factor of 2211/321,2904/8148 = [GCF of 2211,2904]/[LCM of 321,8148]= 33/871836
Therefore, the GCF of 2211/321,2904/8148 is 33/871836.
To find the highest common factor of 2211,2904, we have to find the factors of both numbers and list the highest common factor.
The factors of 2211 are 1, 3, 11, 33, 67, 201, 737, 2211
The factors of 2904 are 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 121, 132, 242, 264, 363, 484, 726, 968, 1452, 2904
The HCF of 2211,2904 is 33.
Lets's calculate GCF of 2211,2904
| 3 | 2211, 2904 |
| 11 | 737, 968 |
| 67, 88 |
∴ So the GCF of the given numbers is 3 x 11 = 33
Greatest Common Factor of 2211,2904 By Matching Biggest Common Factor Method
Now, list down the factors of 2211
:1,3,11,33,67,201,737,2211
Now, list down the factors of 2904
:1,2,3,4,6,8,11,12,22,24,33,44,66,88,121,132,242,264,363,484,726,968,1452,2904
Greatest Common Factor
We found the factors 2211,2904 . The biggest common factor number is the GCF number.
So the greatest common factor 2211,2904 is 33.
Lets's calculate LCM of 321,8148
| 3 | 321, 8148 |
| 107, 2716 |
∴ So the LCM of the given numbers is 3 x 107 x 2716 = 871836
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 33/871836
Therefore, the GCF of Fractions 2211/321,2904/8148 is 33/871836
Least Common Multiple of 321,8148 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 321,8148 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(321,8148) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(321,8148) x common factors =3 x 1 = 3
LCM(321,8148) = ( 321 × 8148 ) / 3
LCM(321,8148) = 2615508 / 3
LCM(321,8148) = 871836
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FAQs on GCF of Fractions of 2211/321, 2904/8148
1. What is the HCF of 2211,2904?
The HCF of 2211,2904 is 33
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 2211/321, 2904/8148?
Answer: GCF of Numerators as per given numbers 2211/321, 2904/8148 is
GCF of Numerators i.e. for 2211,2904 is 33
LCM of denominators i.e. for 321,8148 is 871836.
Thus, GCF of Fractions is 33/871836.Finally, GCF of Fractions for 2211/321, 2904/8148 is 33/871836.