GCF of 391/12, 549/3081
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 391/12, 549/3081 i.e 1/12324 easily. The following is the detailed procedure to determine the greatest common factor of fractions 391/12, 549/3081.
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 391/12,549/3081?
Given fractions are 391/12,549/3081
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 391/12,549/3081, numerators are 391,549
Denominators are 12,3081
The GCF of 391,549 is 1 .
LCM of 12,3081 is 12324.
The greatest common factor of 391/12,549/3081 = [GCF of 391,549]/[LCM of 12,3081]= 1/12324
Therefore, the GCF of 391/12,549/3081 is 1/12324.
To find the highest common factor of 391,549, we have to find the factors of both numbers and list the highest common factor.
The factors of 391 are 1, 17, 23, 391
The factors of 549 are 1, 3, 9, 61, 183, 549
The HCF of 391,549 is 1.
Lets's calculate GCF of 391,549
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 391,549 By Matching Biggest Common Factor Method
Now, list down the factors of 391
:1,17,23,391
Now, list down the factors of 549
:1,3,9,61,183,549
Greatest Common Factor
We found the factors 391,549 . The biggest common factor number is the GCF number.
So the greatest common factor 391,549 is 1.
Lets's calculate LCM of 12,3081
| 3 | 12, 3081 |
| 4, 1027 |
∴ So the LCM of the given numbers is 3 x 4 x 1027 = 12324
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12324
Therefore, the GCF of Fractions 391/12,549/3081 is 1/12324
Least Common Multiple of 12,3081 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 12,3081 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(12,3081) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(12,3081) x common factors =3 x 1 = 3
LCM(12,3081) = ( 12 × 3081 ) / 3
LCM(12,3081) = 36972 / 3
LCM(12,3081) = 12324
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FAQs on GCF of Fractions of 391/12, 549/3081
1. What is the HCF of 391,549?
The HCF of 391,549 is 1
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 391/12, 549/3081?
Answer: GCF of Numerators as per given numbers 391/12, 549/3081 is
GCF of Numerators i.e. for 391,549 is 1
LCM of denominators i.e. for 12,3081 is 12324.
Thus, GCF of Fractions is 1/12324.Finally, GCF of Fractions for 391/12, 549/3081 is 1/12324.