GCF of 3273/243, 6771/896
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3273/243, 6771/896 i.e 3/217728 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3273/243, 6771/896.
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 3273/243,6771/896?
Given fractions are 3273/243,6771/896
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 3273/243,6771/896, numerators are 3273,6771
Denominators are 243,896
The GCF of 3273,6771 is 3 .
LCM of 243,896 is 217728.
The greatest common factor of 3273/243,6771/896 = [GCF of 3273,6771]/[LCM of 243,896]= 3/217728
Therefore, the GCF of 3273/243,6771/896 is 3/217728.
To find the highest common factor of 3273,6771, we have to find the factors of both numbers and list the highest common factor.
The factors of 3273 are 1, 3, 1091, 3273
The factors of 6771 are 1, 3, 37, 61, 111, 183, 2257, 6771
The HCF of 3273,6771 is 3.
Lets's calculate GCF of 3273,6771
| 3 | 3273, 6771 |
| 1091, 2257 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 3273,6771 By Matching Biggest Common Factor Method
Now, list down the factors of 3273
:1,3,1091,3273
Now, list down the factors of 6771
:1,3,37,61,111,183,2257,6771
Greatest Common Factor
We found the factors 3273,6771 . The biggest common factor number is the GCF number.
So the greatest common factor 3273,6771 is 3.
Lets's calculate LCM of 243,896
Given numbers has no common factors except 1. So, there LCM is their product i.e 217728
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/217728
Therefore, the GCF of Fractions 3273/243,6771/896 is 3/217728
Least Common Multiple of 243,896 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 243,896 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(243,896) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(243,896) x common factors =1 x 1 = 1
LCM(243,896) = ( 243 × 896 ) / 1
LCM(243,896) = 217728 / 1
LCM(243,896) = 217728
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FAQs on GCF of Fractions of 3273/243, 6771/896
1. What is the HCF of 3273,6771?
The HCF of 3273,6771 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 3273/243, 6771/896?
Answer: GCF of Numerators as per given numbers 3273/243, 6771/896 is
GCF of Numerators i.e. for 3273,6771 is 3
LCM of denominators i.e. for 243,896 is 217728.
Thus, GCF of Fractions is 3/217728.Finally, GCF of Fractions for 3273/243, 6771/896 is 3/217728.