GCF of 6801/227, 8322/3711
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6801/227, 8322/3711 i.e 3/842397 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6801/227, 8322/3711.
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 6801/227,8322/3711?
Given fractions are 6801/227,8322/3711
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 6801/227,8322/3711, numerators are 6801,8322
Denominators are 227,3711
The GCF of 6801,8322 is 3 .
LCM of 227,3711 is 842397.
The greatest common factor of 6801/227,8322/3711 = [GCF of 6801,8322]/[LCM of 227,3711]= 3/842397
Therefore, the GCF of 6801/227,8322/3711 is 3/842397.
To find the highest common factor of 6801,8322, we have to find the factors of both numbers and list the highest common factor.
The factors of 6801 are 1, 3, 2267, 6801
The factors of 8322 are 1, 2, 3, 6, 19, 38, 57, 73, 114, 146, 219, 438, 1387, 2774, 4161, 8322
The HCF of 6801,8322 is 3.
Lets's calculate GCF of 6801,8322
| 3 | 6801, 8322 |
| 2267, 2774 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 6801,8322 By Matching Biggest Common Factor Method
Now, list down the factors of 6801
:1,3,2267,6801
Now, list down the factors of 8322
:1,2,3,6,19,38,57,73,114,146,219,438,1387,2774,4161,8322
Greatest Common Factor
We found the factors 6801,8322 . The biggest common factor number is the GCF number.
So the greatest common factor 6801,8322 is 3.
Lets's calculate LCM of 227,3711
Given numbers has no common factors except 1. So, there LCM is their product i.e 842397
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/842397
Therefore, the GCF of Fractions 6801/227,8322/3711 is 3/842397
Least Common Multiple of 227,3711 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 227,3711 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(227,3711) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(227,3711) x common factors =1 x 1 = 1
LCM(227,3711) = ( 227 × 3711 ) / 1
LCM(227,3711) = 842397 / 1
LCM(227,3711) = 842397
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FAQs on GCF of Fractions of 6801/227, 8322/3711
1. What is the HCF of 6801,8322?
The HCF of 6801,8322 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 6801/227, 8322/3711?
Answer: GCF of Numerators as per given numbers 6801/227, 8322/3711 is
GCF of Numerators i.e. for 6801,8322 is 3
LCM of denominators i.e. for 227,3711 is 842397.
Thus, GCF of Fractions is 3/842397.Finally, GCF of Fractions for 6801/227, 8322/3711 is 3/842397.