Use our free GCF of Fractions Calculator tool to compute the GCF of 8533/177, 7498/8166 i.e 23/481794 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8533/177, 7498/8166.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8533/177,7498/8166
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 8533/177,7498/8166, numerators are 8533,7498
Denominators are 177,8166
The GCF of 8533,7498 is 23 .
LCM of 177,8166 is 481794.
The greatest common factor of 8533/177,7498/8166 = [GCF of 8533,7498]/[LCM of 177,8166]= 23/481794
Therefore, the GCF of 8533/177,7498/8166 is 23/481794.
To find the highest common factor of 8533,7498, we have to find the factors of both numbers and list the highest common factor.
The factors of 8533 are 1, 7, 23, 53, 161, 371, 1219, 8533
The factors of 7498 are 1, 2, 23, 46, 163, 326, 3749, 7498
The HCF of 8533,7498 is 23.
Lets's calculate GCF of 8533,7498
23 | 8533, 7498 |
371, 326 |
∴ So the GCF of the given numbers is 23 = 23
Now, list down the factors of 8533
:1,7,23,53,161,371,1219,8533
Now, list down the factors of 7498
:1,2,23,46,163,326,3749,7498
Greatest Common Factor
We found the factors 8533,7498 . The biggest common factor number is the GCF number.
So the greatest common factor 8533,7498 is 23.
Lets's calculate LCM of 177,8166
3 | 177, 8166 |
59, 2722 |
∴ So the LCM of the given numbers is 3 x 59 x 2722 = 481794
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/481794
Therefore, the GCF of Fractions 8533/177,7498/8166 is 23/481794
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 177,8166 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(177,8166) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(177,8166) x common factors =3 x 1 = 3
LCM(177,8166) = ( 177 × 8166 ) / 3
LCM(177,8166) = 1445382 / 3
LCM(177,8166) = 481794
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 8533,7498?
The HCF of 8533,7498 is 23
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 8533/177, 7498/8166?
Answer: GCF of Numerators as per given numbers 8533/177, 7498/8166 is
GCF of Numerators i.e. for 8533,7498 is 23
LCM of denominators i.e. for 177,8166 is 481794.
Thus, GCF of Fractions is 23/481794.Finally, GCF of Fractions for 8533/177, 7498/8166 is 23/481794.