Use our free GCF of Fractions Calculator tool to compute the GCF of 1834/993, 5745/8341 i.e 1/8282613 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1834/993, 5745/8341.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1834/993,5745/8341
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 1834/993,5745/8341, numerators are 1834,5745
Denominators are 993,8341
The GCF of 1834,5745 is 1 .
LCM of 993,8341 is 8282613.
The greatest common factor of 1834/993,5745/8341 = [GCF of 1834,5745]/[LCM of 993,8341]= 1/8282613
Therefore, the GCF of 1834/993,5745/8341 is 1/8282613.
To find the highest common factor of 1834,5745, we have to find the factors of both numbers and list the highest common factor.
The factors of 1834 are 1, 2, 7, 14, 131, 262, 917, 1834
The factors of 5745 are 1, 3, 5, 15, 383, 1149, 1915, 5745
The HCF of 1834,5745 is 1.
Lets's calculate GCF of 1834,5745
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 1834
:1,2,7,14,131,262,917,1834
Now, list down the factors of 5745
:1,3,5,15,383,1149,1915,5745
Greatest Common Factor
We found the factors 1834,5745 . The biggest common factor number is the GCF number.
So the greatest common factor 1834,5745 is 1.
Lets's calculate LCM of 993,8341
Given numbers has no common factors except 1. So, there LCM is their product i.e 8282613
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8282613
Therefore, the GCF of Fractions 1834/993,5745/8341 is 1/8282613
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 993,8341 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(993,8341) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(993,8341) x common factors =1 x 1 = 1
LCM(993,8341) = ( 993 × 8341 ) / 1
LCM(993,8341) = 8282613 / 1
LCM(993,8341) = 8282613
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 1834,5745?
The HCF of 1834,5745 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 1834/993, 5745/8341?
Answer: GCF of Numerators as per given numbers 1834/993, 5745/8341 is
GCF of Numerators i.e. for 1834,5745 is 1
LCM of denominators i.e. for 993,8341 is 8282613.
Thus, GCF of Fractions is 1/8282613.Finally, GCF of Fractions for 1834/993, 5745/8341 is 1/8282613.