Use our free GCF of Fractions Calculator tool to compute the GCF of 8233/960, 5566/118 i.e 1/56640 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8233/960, 5566/118.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8233/960,5566/118
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 8233/960,5566/118, numerators are 8233,5566
Denominators are 960,118
The GCF of 8233,5566 is 1 .
LCM of 960,118 is 56640.
The greatest common factor of 8233/960,5566/118 = [GCF of 8233,5566]/[LCM of 960,118]= 1/56640
Therefore, the GCF of 8233/960,5566/118 is 1/56640.
To find the highest common factor of 8233,5566, we have to find the factors of both numbers and list the highest common factor.
The factors of 8233 are 1, 8233
The factors of 5566 are 1, 2, 11, 22, 23, 46, 121, 242, 253, 506, 2783, 5566
The HCF of 8233,5566 is 1.
Lets's calculate GCF of 8233,5566
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 8233
:1,8233
Now, list down the factors of 5566
:1,2,11,22,23,46,121,242,253,506,2783,5566
Greatest Common Factor
We found the factors 8233,5566 . The biggest common factor number is the GCF number.
So the greatest common factor 8233,5566 is 1.
Lets's calculate LCM of 960,118
2 | 960, 118 |
480, 59 |
∴ So the LCM of the given numbers is 2 x 480 x 59 = 56640
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/56640
Therefore, the GCF of Fractions 8233/960,5566/118 is 1/56640
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 960,118 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(960,118) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(960,118) x common factors =2 x 1 = 2
LCM(960,118) = ( 960 × 118 ) / 2
LCM(960,118) = 113280 / 2
LCM(960,118) = 56640
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 8233,5566?
The HCF of 8233,5566 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 8233/960, 5566/118?
Answer: GCF of Numerators as per given numbers 8233/960, 5566/118 is
GCF of Numerators i.e. for 8233,5566 is 1
LCM of denominators i.e. for 960,118 is 56640.
Thus, GCF of Fractions is 1/56640.Finally, GCF of Fractions for 8233/960, 5566/118 is 1/56640.