GCF of 3206/865, 9427/8355
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3206/865, 9427/8355 i.e 1/1445415 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3206/865, 9427/8355.
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 3206/865,9427/8355?
Given fractions are 3206/865,9427/8355
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 3206/865,9427/8355, numerators are 3206,9427
Denominators are 865,8355
The GCF of 3206,9427 is 1 .
LCM of 865,8355 is 1445415.
The greatest common factor of 3206/865,9427/8355 = [GCF of 3206,9427]/[LCM of 865,8355]= 1/1445415
Therefore, the GCF of 3206/865,9427/8355 is 1/1445415.
To find the highest common factor of 3206,9427, we have to find the factors of both numbers and list the highest common factor.
The factors of 3206 are 1, 2, 7, 14, 229, 458, 1603, 3206
The factors of 9427 are 1, 11, 857, 9427
The HCF of 3206,9427 is 1.
Lets's calculate GCF of 3206,9427
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3206,9427 By Matching Biggest Common Factor Method
Now, list down the factors of 3206
:1,2,7,14,229,458,1603,3206
Now, list down the factors of 9427
:1,11,857,9427
Greatest Common Factor
We found the factors 3206,9427 . The biggest common factor number is the GCF number.
So the greatest common factor 3206,9427 is 1.
Lets's calculate LCM of 865,8355
| 5 | 865, 8355 |
| 173, 1671 |
∴ So the LCM of the given numbers is 5 x 173 x 1671 = 1445415
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1445415
Therefore, the GCF of Fractions 3206/865,9427/8355 is 1/1445415
Least Common Multiple of 865,8355 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 865,8355 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(865,8355) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(865,8355) x common factors =5 x 1 = 5
LCM(865,8355) = ( 865 × 8355 ) / 5
LCM(865,8355) = 7227075 / 5
LCM(865,8355) = 1445415
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3206/865, 9427/8355
1. What is the HCF of 3206,9427?
The HCF of 3206,9427 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 3206/865, 9427/8355?
Answer: GCF of Numerators as per given numbers 3206/865, 9427/8355 is
GCF of Numerators i.e. for 3206,9427 is 1
LCM of denominators i.e. for 865,8355 is 1445415.
Thus, GCF of Fractions is 1/1445415.Finally, GCF of Fractions for 3206/865, 9427/8355 is 1/1445415.