Use our free GCF of Fractions Calculator tool to compute the GCF of 6550/643, 9415/8891 i.e 5/5716913 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6550/643, 9415/8891.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6550/643,9415/8891
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 6550/643,9415/8891, numerators are 6550,9415
Denominators are 643,8891
The GCF of 6550,9415 is 5 .
LCM of 643,8891 is 5716913.
The greatest common factor of 6550/643,9415/8891 = [GCF of 6550,9415]/[LCM of 643,8891]= 5/5716913
Therefore, the GCF of 6550/643,9415/8891 is 5/5716913.
To find the highest common factor of 6550,9415, we have to find the factors of both numbers and list the highest common factor.
The factors of 6550 are 1, 2, 5, 10, 25, 50, 131, 262, 655, 1310, 3275, 6550
The factors of 9415 are 1, 5, 7, 35, 269, 1345, 1883, 9415
The HCF of 6550,9415 is 5.
Lets's calculate GCF of 6550,9415
5 | 6550, 9415 |
1310, 1883 |
∴ So the GCF of the given numbers is 5 = 5
Now, list down the factors of 6550
:1,2,5,10,25,50,131,262,655,1310,3275,6550
Now, list down the factors of 9415
:1,5,7,35,269,1345,1883,9415
Greatest Common Factor
We found the factors 6550,9415 . The biggest common factor number is the GCF number.
So the greatest common factor 6550,9415 is 5.
Lets's calculate LCM of 643,8891
Given numbers has no common factors except 1. So, there LCM is their product i.e 5716913
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/5716913
Therefore, the GCF of Fractions 6550/643,9415/8891 is 5/5716913
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 643,8891 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(643,8891) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(643,8891) x common factors =1 x 1 = 1
LCM(643,8891) = ( 643 × 8891 ) / 1
LCM(643,8891) = 5716913 / 1
LCM(643,8891) = 5716913
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 6550,9415?
The HCF of 6550,9415 is 5
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 6550/643, 9415/8891?
Answer: GCF of Numerators as per given numbers 6550/643, 9415/8891 is
GCF of Numerators i.e. for 6550,9415 is 5
LCM of denominators i.e. for 643,8891 is 5716913.
Thus, GCF of Fractions is 5/5716913.Finally, GCF of Fractions for 6550/643, 9415/8891 is 5/5716913.