Use our free GCF of Fractions Calculator tool to compute the GCF of 796/683, 1929/7801 i.e 1/5328083 easily. The following is the detailed procedure to determine the greatest common factor of fractions 796/683, 1929/7801.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 796/683,1929/7801
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 796/683,1929/7801, numerators are 796,1929
Denominators are 683,7801
The GCF of 796,1929 is 1 .
LCM of 683,7801 is 5328083.
The greatest common factor of 796/683,1929/7801 = [GCF of 796,1929]/[LCM of 683,7801]= 1/5328083
Therefore, the GCF of 796/683,1929/7801 is 1/5328083.
To find the highest common factor of 796,1929, 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 1929 are 1, 3, 643, 1929
The HCF of 796,1929 is 1.
Lets's calculate GCF of 796,1929
∴ 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 1929
:1,3,643,1929
Greatest Common Factor
We found the factors 796,1929 . The biggest common factor number is the GCF number.
So the greatest common factor 796,1929 is 1.
Lets's calculate LCM of 683,7801
Given numbers has no common factors except 1. So, there LCM is their product i.e 5328083
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5328083
Therefore, the GCF of Fractions 796/683,1929/7801 is 1/5328083
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 683,7801 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(683,7801) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(683,7801) x common factors =1 x 1 = 1
LCM(683,7801) = ( 683 × 7801 ) / 1
LCM(683,7801) = 5328083 / 1
LCM(683,7801) = 5328083
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 796,1929?
The HCF of 796,1929 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 796/683, 1929/7801?
Answer: GCF of Numerators as per given numbers 796/683, 1929/7801 is
GCF of Numerators i.e. for 796,1929 is 1
LCM of denominators i.e. for 683,7801 is 5328083.
Thus, GCF of Fractions is 1/5328083.Finally, GCF of Fractions for 796/683, 1929/7801 is 1/5328083.