Use our free GCF of Fractions Calculator tool to compute the GCF of 8411/765, 3448/5949 i.e 1/505665 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8411/765, 3448/5949.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8411/765,3448/5949
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 8411/765,3448/5949, numerators are 8411,3448
Denominators are 765,5949
The GCF of 8411,3448 is 1 .
LCM of 765,5949 is 505665.
The greatest common factor of 8411/765,3448/5949 = [GCF of 8411,3448]/[LCM of 765,5949]= 1/505665
Therefore, the GCF of 8411/765,3448/5949 is 1/505665.
To find the highest common factor of 8411,3448, we have to find the factors of both numbers and list the highest common factor.
The factors of 8411 are 1, 13, 647, 8411
The factors of 3448 are 1, 2, 4, 8, 431, 862, 1724, 3448
The HCF of 8411,3448 is 1.
Lets's calculate GCF of 8411,3448
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 8411
:1,13,647,8411
Now, list down the factors of 3448
:1,2,4,8,431,862,1724,3448
Greatest Common Factor
We found the factors 8411,3448 . The biggest common factor number is the GCF number.
So the greatest common factor 8411,3448 is 1.
Lets's calculate LCM of 765,5949
3 | 765, 5949 |
3 | 255, 1983 |
85, 661 |
∴ So the LCM of the given numbers is 3 x 3 x 85 x 661 = 505665
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/505665
Therefore, the GCF of Fractions 8411/765,3448/5949 is 1/505665
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 765,5949 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(765,5949) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(765,5949) x common factors =9 x 1 = 9
LCM(765,5949) = ( 765 × 5949 ) / 9
LCM(765,5949) = 4550985 / 9
LCM(765,5949) = 505665
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 8411,3448?
The HCF of 8411,3448 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 8411/765, 3448/5949?
Answer: GCF of Numerators as per given numbers 8411/765, 3448/5949 is
GCF of Numerators i.e. for 8411,3448 is 1
LCM of denominators i.e. for 765,5949 is 505665.
Thus, GCF of Fractions is 1/505665.Finally, GCF of Fractions for 8411/765, 3448/5949 is 1/505665.