GCF of 4112/363, 4991/3270
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4112/363, 4991/3270 i.e 1/395670 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4112/363, 4991/3270.
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 4112/363,4991/3270?
Given fractions are 4112/363,4991/3270
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 4112/363,4991/3270, numerators are 4112,4991
Denominators are 363,3270
The GCF of 4112,4991 is 1 .
LCM of 363,3270 is 395670.
The greatest common factor of 4112/363,4991/3270 = [GCF of 4112,4991]/[LCM of 363,3270]= 1/395670
Therefore, the GCF of 4112/363,4991/3270 is 1/395670.
To find the highest common factor of 4112,4991, we have to find the factors of both numbers and list the highest common factor.
The factors of 4112 are 1, 2, 4, 8, 16, 257, 514, 1028, 2056, 4112
The factors of 4991 are 1, 7, 23, 31, 161, 217, 713, 4991
The HCF of 4112,4991 is 1.
Lets's calculate GCF of 4112,4991
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4112,4991 By Matching Biggest Common Factor Method
Now, list down the factors of 4112
:1,2,4,8,16,257,514,1028,2056,4112
Now, list down the factors of 4991
:1,7,23,31,161,217,713,4991
Greatest Common Factor
We found the factors 4112,4991 . The biggest common factor number is the GCF number.
So the greatest common factor 4112,4991 is 1.
Lets's calculate LCM of 363,3270
| 3 | 363, 3270 |
| 121, 1090 |
∴ So the LCM of the given numbers is 3 x 121 x 1090 = 395670
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/395670
Therefore, the GCF of Fractions 4112/363,4991/3270 is 1/395670
Least Common Multiple of 363,3270 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 363,3270 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(363,3270) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(363,3270) x common factors =3 x 1 = 3
LCM(363,3270) = ( 363 × 3270 ) / 3
LCM(363,3270) = 1187010 / 3
LCM(363,3270) = 395670
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4112/363, 4991/3270
1. What is the HCF of 4112,4991?
The HCF of 4112,4991 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 4112/363, 4991/3270?
Answer: GCF of Numerators as per given numbers 4112/363, 4991/3270 is
GCF of Numerators i.e. for 4112,4991 is 1
LCM of denominators i.e. for 363,3270 is 395670.
Thus, GCF of Fractions is 1/395670.Finally, GCF of Fractions for 4112/363, 4991/3270 is 1/395670.