GCF of 727/309, 2181/1446
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 727/309, 2181/1446 i.e 727/148938 easily. The following is the detailed procedure to determine the greatest common factor of fractions 727/309, 2181/1446.
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 727/309,2181/1446?
Given fractions are 727/309,2181/1446
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 727/309,2181/1446, numerators are 727,2181
Denominators are 309,1446
The GCF of 727,2181 is 727 .
LCM of 309,1446 is 148938.
The greatest common factor of 727/309,2181/1446 = [GCF of 727,2181]/[LCM of 309,1446]= 727/148938
Therefore, the GCF of 727/309,2181/1446 is 727/148938.
To find the highest common factor of 727,2181, we have to find the factors of both numbers and list the highest common factor.
The factors of 727 are 1, 727
The factors of 2181 are 1, 3, 727, 2181
The HCF of 727,2181 is 727.
Lets's calculate GCF of 727,2181
| 727 | 727, 2181 |
| 1, 3 |
∴ So the GCF of the given numbers is 727 = 727
Greatest Common Factor of 727,2181 By Matching Biggest Common Factor Method
Now, list down the factors of 727
:1,727
Now, list down the factors of 2181
:1,3,727,2181
Greatest Common Factor
We found the factors 727,2181 . The biggest common factor number is the GCF number.
So the greatest common factor 727,2181 is 727.
Lets's calculate LCM of 309,1446
| 3 | 309, 1446 |
| 103, 482 |
∴ So the LCM of the given numbers is 3 x 103 x 482 = 148938
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 727/148938
Therefore, the GCF of Fractions 727/309,2181/1446 is 727/148938
Least Common Multiple of 309,1446 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 309,1446 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(309,1446) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(309,1446) x common factors =3 x 1 = 3
LCM(309,1446) = ( 309 × 1446 ) / 3
LCM(309,1446) = 446814 / 3
LCM(309,1446) = 148938
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FAQs on GCF of Fractions of 727/309, 2181/1446
1. What is the HCF of 727,2181?
The HCF of 727,2181 is 727
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 727/309, 2181/1446?
Answer: GCF of Numerators as per given numbers 727/309, 2181/1446 is
GCF of Numerators i.e. for 727,2181 is 727
LCM of denominators i.e. for 309,1446 is 148938.
Thus, GCF of Fractions is 727/148938.Finally, GCF of Fractions for 727/309, 2181/1446 is 727/148938.