Use our free GCF of Fractions Calculator tool to compute the GCF of 796/811, 299/683 i.e 1/553913 easily. The following is the detailed procedure to determine the greatest common factor of fractions 796/811, 299/683.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 796/811,299/683
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 796/811,299/683, numerators are 796,299
Denominators are 811,683
The GCF of 796,299 is 1 .
LCM of 811,683 is 553913.
The greatest common factor of 796/811,299/683 = [GCF of 796,299]/[LCM of 811,683]= 1/553913
Therefore, the GCF of 796/811,299/683 is 1/553913.
To find the highest common factor of 796,299, we have to find the factors of both numbers and list the highest common factor.
The factors of 796 are 1, 2, 4, 199, 398, 796
The factors of 299 are 1, 13, 23, 299
The HCF of 796,299 is 1.
Lets's calculate GCF of 796,299
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 796
:1,2,4,199,398,796
Now, list down the factors of 299
:1,13,23,299
Greatest Common Factor
We found the factors 796,299 . The biggest common factor number is the GCF number.
So the greatest common factor 796,299 is 1.
Lets's calculate LCM of 811,683
Given numbers has no common factors except 1. So, there LCM is their product i.e 553913
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/553913
Therefore, the GCF of Fractions 796/811,299/683 is 1/553913
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 811,683 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(811,683) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(811,683) x common factors =1 x 1 = 1
LCM(811,683) = ( 811 × 683 ) / 1
LCM(811,683) = 553913 / 1
LCM(811,683) = 553913
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 796,299?
The HCF of 796,299 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 796/811, 299/683?
Answer: GCF of Numerators as per given numbers 796/811, 299/683 is
GCF of Numerators i.e. for 796,299 is 1
LCM of denominators i.e. for 811,683 is 553913.
Thus, GCF of Fractions is 1/553913.Finally, GCF of Fractions for 796/811, 299/683 is 1/553913.