Use our free GCF of Fractions Calculator tool to compute the GCF of 7807/352, 6806/4839 i.e 1/1703328 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7807/352, 6806/4839.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7807/352,6806/4839
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 7807/352,6806/4839, numerators are 7807,6806
Denominators are 352,4839
The GCF of 7807,6806 is 1 .
LCM of 352,4839 is 1703328.
The greatest common factor of 7807/352,6806/4839 = [GCF of 7807,6806]/[LCM of 352,4839]= 1/1703328
Therefore, the GCF of 7807/352,6806/4839 is 1/1703328.
To find the highest common factor of 7807,6806, we have to find the factors of both numbers and list the highest common factor.
The factors of 7807 are 1, 37, 211, 7807
The factors of 6806 are 1, 2, 41, 82, 83, 166, 3403, 6806
The HCF of 7807,6806 is 1.
Lets's calculate GCF of 7807,6806
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 7807
:1,37,211,7807
Now, list down the factors of 6806
:1,2,41,82,83,166,3403,6806
Greatest Common Factor
We found the factors 7807,6806 . The biggest common factor number is the GCF number.
So the greatest common factor 7807,6806 is 1.
Lets's calculate LCM of 352,4839
Given numbers has no common factors except 1. So, there LCM is their product i.e 1703328
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1703328
Therefore, the GCF of Fractions 7807/352,6806/4839 is 1/1703328
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 352,4839 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(352,4839) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(352,4839) x common factors =1 x 1 = 1
LCM(352,4839) = ( 352 × 4839 ) / 1
LCM(352,4839) = 1703328 / 1
LCM(352,4839) = 1703328
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 7807,6806?
The HCF of 7807,6806 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 7807/352, 6806/4839?
Answer: GCF of Numerators as per given numbers 7807/352, 6806/4839 is
GCF of Numerators i.e. for 7807,6806 is 1
LCM of denominators i.e. for 352,4839 is 1703328.
Thus, GCF of Fractions is 1/1703328.Finally, GCF of Fractions for 7807/352, 6806/4839 is 1/1703328.