GCF of 9206/381, 6368/546
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9206/381, 6368/546 i.e 2/69342 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9206/381, 6368/546.
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 9206/381,6368/546?
Given fractions are 9206/381,6368/546
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 9206/381,6368/546, numerators are 9206,6368
Denominators are 381,546
The GCF of 9206,6368 is 2 .
LCM of 381,546 is 69342.
The greatest common factor of 9206/381,6368/546 = [GCF of 9206,6368]/[LCM of 381,546]= 2/69342
Therefore, the GCF of 9206/381,6368/546 is 2/69342.
To find the highest common factor of 9206,6368, we have to find the factors of both numbers and list the highest common factor.
The factors of 9206 are 1, 2, 4603, 9206
The factors of 6368 are 1, 2, 4, 8, 16, 32, 199, 398, 796, 1592, 3184, 6368
The HCF of 9206,6368 is 2.
Lets's calculate GCF of 9206,6368
| 2 | 9206, 6368 |
| 4603, 3184 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9206,6368 By Matching Biggest Common Factor Method
Now, list down the factors of 9206
:1,2,4603,9206
Now, list down the factors of 6368
:1,2,4,8,16,32,199,398,796,1592,3184,6368
Greatest Common Factor
We found the factors 9206,6368 . The biggest common factor number is the GCF number.
So the greatest common factor 9206,6368 is 2.
Lets's calculate LCM of 381,546
| 3 | 381, 546 |
| 127, 182 |
∴ So the LCM of the given numbers is 3 x 127 x 182 = 69342
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/69342
Therefore, the GCF of Fractions 9206/381,6368/546 is 2/69342
Least Common Multiple of 381,546 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 381,546 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(381,546) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(381,546) x common factors =3 x 1 = 3
LCM(381,546) = ( 381 × 546 ) / 3
LCM(381,546) = 208026 / 3
LCM(381,546) = 69342
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9206/381, 6368/546
1. What is the HCF of 9206,6368?
The HCF of 9206,6368 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 9206/381, 6368/546?
Answer: GCF of Numerators as per given numbers 9206/381, 6368/546 is
GCF of Numerators i.e. for 9206,6368 is 2
LCM of denominators i.e. for 381,546 is 69342.
Thus, GCF of Fractions is 2/69342.Finally, GCF of Fractions for 9206/381, 6368/546 is 2/69342.