Use our free GCF of Fractions Calculator tool to compute the GCF of 803/813, 292/379 i.e 73/308127 easily. The following is the detailed procedure to determine the greatest common factor of fractions 803/813, 292/379.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 803/813,292/379
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 803/813,292/379, numerators are 803,292
Denominators are 813,379
The GCF of 803,292 is 73 .
LCM of 813,379 is 308127.
The greatest common factor of 803/813,292/379 = [GCF of 803,292]/[LCM of 813,379]= 73/308127
Therefore, the GCF of 803/813,292/379 is 73/308127.
To find the highest common factor of 803,292, we have to find the factors of both numbers and list the highest common factor.
The factors of 803 are 1, 11, 73, 803
The factors of 292 are 1, 2, 4, 73, 146, 292
The HCF of 803,292 is 73.
Lets's calculate GCF of 803,292
73 | 803, 292 |
11, 4 |
∴ So the GCF of the given numbers is 73 = 73
Now, list down the factors of 803
:1,11,73,803
Now, list down the factors of 292
:1,2,4,73,146,292
Greatest Common Factor
We found the factors 803,292 . The biggest common factor number is the GCF number.
So the greatest common factor 803,292 is 73.
Lets's calculate LCM of 813,379
Given numbers has no common factors except 1. So, there LCM is their product i.e 308127
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 73/308127
Therefore, the GCF of Fractions 803/813,292/379 is 73/308127
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 813,379 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(813,379) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(813,379) x common factors =1 x 1 = 1
LCM(813,379) = ( 813 × 379 ) / 1
LCM(813,379) = 308127 / 1
LCM(813,379) = 308127
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 803,292?
The HCF of 803,292 is 73
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 803/813, 292/379?
Answer: GCF of Numerators as per given numbers 803/813, 292/379 is
GCF of Numerators i.e. for 803,292 is 73
LCM of denominators i.e. for 813,379 is 308127.
Thus, GCF of Fractions is 73/308127.Finally, GCF of Fractions for 803/813, 292/379 is 73/308127.