Use our free GCF of Fractions Calculator tool to compute the GCF of 6508/200, 4177/8106 i.e 1/810600 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6508/200, 4177/8106.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6508/200,4177/8106
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 6508/200,4177/8106, numerators are 6508,4177
Denominators are 200,8106
The GCF of 6508,4177 is 1 .
LCM of 200,8106 is 810600.
The greatest common factor of 6508/200,4177/8106 = [GCF of 6508,4177]/[LCM of 200,8106]= 1/810600
Therefore, the GCF of 6508/200,4177/8106 is 1/810600.
To find the highest common factor of 6508,4177, we have to find the factors of both numbers and list the highest common factor.
The factors of 6508 are 1, 2, 4, 1627, 3254, 6508
The factors of 4177 are 1, 4177
The HCF of 6508,4177 is 1.
Lets's calculate GCF of 6508,4177
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 6508
:1,2,4,1627,3254,6508
Now, list down the factors of 4177
:1,4177
Greatest Common Factor
We found the factors 6508,4177 . The biggest common factor number is the GCF number.
So the greatest common factor 6508,4177 is 1.
Lets's calculate LCM of 200,8106
2 | 200, 8106 |
100, 4053 |
∴ So the LCM of the given numbers is 2 x 100 x 4053 = 810600
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/810600
Therefore, the GCF of Fractions 6508/200,4177/8106 is 1/810600
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 200,8106 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(200,8106) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(200,8106) x common factors =2 x 1 = 2
LCM(200,8106) = ( 200 × 8106 ) / 2
LCM(200,8106) = 1621200 / 2
LCM(200,8106) = 810600
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 6508,4177?
The HCF of 6508,4177 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 6508/200, 4177/8106?
Answer: GCF of Numerators as per given numbers 6508/200, 4177/8106 is
GCF of Numerators i.e. for 6508,4177 is 1
LCM of denominators i.e. for 200,8106 is 810600.
Thus, GCF of Fractions is 1/810600.Finally, GCF of Fractions for 6508/200, 4177/8106 is 1/810600.