Use our free GCF of Fractions Calculator tool to compute the GCF of 8346/388, 1183/8810 i.e 13/1709140 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8346/388, 1183/8810.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8346/388,1183/8810
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 8346/388,1183/8810, numerators are 8346,1183
Denominators are 388,8810
The GCF of 8346,1183 is 13 .
LCM of 388,8810 is 1709140.
The greatest common factor of 8346/388,1183/8810 = [GCF of 8346,1183]/[LCM of 388,8810]= 13/1709140
Therefore, the GCF of 8346/388,1183/8810 is 13/1709140.
To find the highest common factor of 8346,1183, we have to find the factors of both numbers and list the highest common factor.
The factors of 8346 are 1, 2, 3, 6, 13, 26, 39, 78, 107, 214, 321, 642, 1391, 2782, 4173, 8346
The factors of 1183 are 1, 7, 13, 91, 169, 1183
The HCF of 8346,1183 is 13.
Lets's calculate GCF of 8346,1183
13 | 8346, 1183 |
642, 91 |
∴ So the GCF of the given numbers is 13 = 13
Now, list down the factors of 8346
:1,2,3,6,13,26,39,78,107,214,321,642,1391,2782,4173,8346
Now, list down the factors of 1183
:1,7,13,91,169,1183
Greatest Common Factor
We found the factors 8346,1183 . The biggest common factor number is the GCF number.
So the greatest common factor 8346,1183 is 13.
Lets's calculate LCM of 388,8810
2 | 388, 8810 |
194, 4405 |
∴ So the LCM of the given numbers is 2 x 194 x 4405 = 1709140
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/1709140
Therefore, the GCF of Fractions 8346/388,1183/8810 is 13/1709140
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 388,8810 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(388,8810) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(388,8810) x common factors =2 x 1 = 2
LCM(388,8810) = ( 388 × 8810 ) / 2
LCM(388,8810) = 3418280 / 2
LCM(388,8810) = 1709140
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 8346,1183?
The HCF of 8346,1183 is 13
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 8346/388, 1183/8810?
Answer: GCF of Numerators as per given numbers 8346/388, 1183/8810 is
GCF of Numerators i.e. for 8346,1183 is 13
LCM of denominators i.e. for 388,8810 is 1709140.
Thus, GCF of Fractions is 13/1709140.Finally, GCF of Fractions for 8346/388, 1183/8810 is 13/1709140.