GCF of 3147/390, 3549/849
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3147/390, 3549/849 i.e 3/110370 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3147/390, 3549/849.
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 3147/390,3549/849?
Given fractions are 3147/390,3549/849
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 3147/390,3549/849, numerators are 3147,3549
Denominators are 390,849
The GCF of 3147,3549 is 3 .
LCM of 390,849 is 110370.
The greatest common factor of 3147/390,3549/849 = [GCF of 3147,3549]/[LCM of 390,849]= 3/110370
Therefore, the GCF of 3147/390,3549/849 is 3/110370.
To find the highest common factor of 3147,3549, we have to find the factors of both numbers and list the highest common factor.
The factors of 3147 are 1, 3, 1049, 3147
The factors of 3549 are 1, 3, 7, 13, 21, 39, 91, 169, 273, 507, 1183, 3549
The HCF of 3147,3549 is 3.
Lets's calculate GCF of 3147,3549
| 3 | 3147, 3549 |
| 1049, 1183 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 3147,3549 By Matching Biggest Common Factor Method
Now, list down the factors of 3147
:1,3,1049,3147
Now, list down the factors of 3549
:1,3,7,13,21,39,91,169,273,507,1183,3549
Greatest Common Factor
We found the factors 3147,3549 . The biggest common factor number is the GCF number.
So the greatest common factor 3147,3549 is 3.
Lets's calculate LCM of 390,849
| 3 | 390, 849 |
| 130, 283 |
∴ So the LCM of the given numbers is 3 x 130 x 283 = 110370
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/110370
Therefore, the GCF of Fractions 3147/390,3549/849 is 3/110370
Least Common Multiple of 390,849 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 390,849 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(390,849) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(390,849) x common factors =3 x 1 = 3
LCM(390,849) = ( 390 × 849 ) / 3
LCM(390,849) = 331110 / 3
LCM(390,849) = 110370
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FAQs on GCF of Fractions of 3147/390, 3549/849
1. What is the HCF of 3147,3549?
The HCF of 3147,3549 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 3147/390, 3549/849?
Answer: GCF of Numerators as per given numbers 3147/390, 3549/849 is
GCF of Numerators i.e. for 3147,3549 is 3
LCM of denominators i.e. for 390,849 is 110370.
Thus, GCF of Fractions is 3/110370.Finally, GCF of Fractions for 3147/390, 3549/849 is 3/110370.