Use our free GCF of Fractions Calculator tool to compute the GCF of 793/462, 460/373 i.e 1/172326 easily. The following is the detailed procedure to determine the greatest common factor of fractions 793/462, 460/373.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 793/462,460/373
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 793/462,460/373, numerators are 793,460
Denominators are 462,373
The GCF of 793,460 is 1 .
LCM of 462,373 is 172326.
The greatest common factor of 793/462,460/373 = [GCF of 793,460]/[LCM of 462,373]= 1/172326
Therefore, the GCF of 793/462,460/373 is 1/172326.
To find the highest common factor of 793,460, we have to find the factors of both numbers and list the highest common factor.
The factors of 793 are 1, 13, 61, 793
The factors of 460 are 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
The HCF of 793,460 is 1.
Lets's calculate GCF of 793,460
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 793
:1,13,61,793
Now, list down the factors of 460
:1,2,4,5,10,20,23,46,92,115,230,460
Greatest Common Factor
We found the factors 793,460 . The biggest common factor number is the GCF number.
So the greatest common factor 793,460 is 1.
Lets's calculate LCM of 462,373
Given numbers has no common factors except 1. So, there LCM is their product i.e 172326
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/172326
Therefore, the GCF of Fractions 793/462,460/373 is 1/172326
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 462,373 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(462,373) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(462,373) x common factors =1 x 1 = 1
LCM(462,373) = ( 462 × 373 ) / 1
LCM(462,373) = 172326 / 1
LCM(462,373) = 172326
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 793,460?
The HCF of 793,460 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 793/462, 460/373?
Answer: GCF of Numerators as per given numbers 793/462, 460/373 is
GCF of Numerators i.e. for 793,460 is 1
LCM of denominators i.e. for 462,373 is 172326.
Thus, GCF of Fractions is 1/172326.Finally, GCF of Fractions for 793/462, 460/373 is 1/172326.