Use our free GCF of Fractions Calculator tool to compute the GCF of 6807/760, 3613/5035 i.e 1/40280 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6807/760, 3613/5035.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6807/760,3613/5035
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 6807/760,3613/5035, numerators are 6807,3613
Denominators are 760,5035
The GCF of 6807,3613 is 1 .
LCM of 760,5035 is 40280.
The greatest common factor of 6807/760,3613/5035 = [GCF of 6807,3613]/[LCM of 760,5035]= 1/40280
Therefore, the GCF of 6807/760,3613/5035 is 1/40280.
To find the highest common factor of 6807,3613, we have to find the factors of both numbers and list the highest common factor.
The factors of 6807 are 1, 3, 2269, 6807
The factors of 3613 are 1, 3613
The HCF of 6807,3613 is 1.
Lets's calculate GCF of 6807,3613
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 6807
:1,3,2269,6807
Now, list down the factors of 3613
:1,3613
Greatest Common Factor
We found the factors 6807,3613 . The biggest common factor number is the GCF number.
So the greatest common factor 6807,3613 is 1.
Lets's calculate LCM of 760,5035
5 | 760, 5035 |
19 | 152, 1007 |
8, 53 |
∴ So the LCM of the given numbers is 5 x 19 x 8 x 53 = 40280
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/40280
Therefore, the GCF of Fractions 6807/760,3613/5035 is 1/40280
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 760,5035 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(760,5035) = 95
common factors(in case of two or more numbers have common factors) = 1
GCF(760,5035) x common factors =95 x 1 = 95
LCM(760,5035) = ( 760 × 5035 ) / 95
LCM(760,5035) = 3826600 / 95
LCM(760,5035) = 40280
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 6807,3613?
The HCF of 6807,3613 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 6807/760, 3613/5035?
Answer: GCF of Numerators as per given numbers 6807/760, 3613/5035 is
GCF of Numerators i.e. for 6807,3613 is 1
LCM of denominators i.e. for 760,5035 is 40280.
Thus, GCF of Fractions is 1/40280.Finally, GCF of Fractions for 6807/760, 3613/5035 is 1/40280.