GCF of 3974/205, 2268/6561
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3974/205, 2268/6561 i.e 2/1345005 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3974/205, 2268/6561.
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 3974/205,2268/6561?
Given fractions are 3974/205,2268/6561
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 3974/205,2268/6561, numerators are 3974,2268
Denominators are 205,6561
The GCF of 3974,2268 is 2 .
LCM of 205,6561 is 1345005.
The greatest common factor of 3974/205,2268/6561 = [GCF of 3974,2268]/[LCM of 205,6561]= 2/1345005
Therefore, the GCF of 3974/205,2268/6561 is 2/1345005.
To find the highest common factor of 3974,2268, we have to find the factors of both numbers and list the highest common factor.
The factors of 3974 are 1, 2, 1987, 3974
The factors of 2268 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 81, 84, 108, 126, 162, 189, 252, 324, 378, 567, 756, 1134, 2268
The HCF of 3974,2268 is 2.
Lets's calculate GCF of 3974,2268
| 2 | 3974, 2268 |
| 1987, 1134 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3974,2268 By Matching Biggest Common Factor Method
Now, list down the factors of 3974
:1,2,1987,3974
Now, list down the factors of 2268
:1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,81,84,108,126,162,189,252,324,378,567,756,1134,2268
Greatest Common Factor
We found the factors 3974,2268 . The biggest common factor number is the GCF number.
So the greatest common factor 3974,2268 is 2.
Lets's calculate LCM of 205,6561
Given numbers has no common factors except 1. So, there LCM is their product i.e 1345005
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1345005
Therefore, the GCF of Fractions 3974/205,2268/6561 is 2/1345005
Least Common Multiple of 205,6561 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 205,6561 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(205,6561) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(205,6561) x common factors =1 x 1 = 1
LCM(205,6561) = ( 205 × 6561 ) / 1
LCM(205,6561) = 1345005 / 1
LCM(205,6561) = 1345005
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FAQs on GCF of Fractions of 3974/205, 2268/6561
1. What is the HCF of 3974,2268?
The HCF of 3974,2268 is 2
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 3974/205, 2268/6561?
Answer: GCF of Numerators as per given numbers 3974/205, 2268/6561 is
GCF of Numerators i.e. for 3974,2268 is 2
LCM of denominators i.e. for 205,6561 is 1345005.
Thus, GCF of Fractions is 2/1345005.Finally, GCF of Fractions for 3974/205, 2268/6561 is 2/1345005.