Use our free GCF of Fractions Calculator tool to compute the GCF of 740/515, 793/473 i.e 1/243595 easily. The following is the detailed procedure to determine the greatest common factor of fractions 740/515, 793/473.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 740/515,793/473
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 740/515,793/473, numerators are 740,793
Denominators are 515,473
The GCF of 740,793 is 1 .
LCM of 515,473 is 243595.
The greatest common factor of 740/515,793/473 = [GCF of 740,793]/[LCM of 515,473]= 1/243595
Therefore, the GCF of 740/515,793/473 is 1/243595.
To find the highest common factor of 740,793, we have to find the factors of both numbers and list the highest common factor.
The factors of 740 are 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
The factors of 793 are 1, 13, 61, 793
The HCF of 740,793 is 1.
Lets's calculate GCF of 740,793
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 740
:1,2,4,5,10,20,37,74,148,185,370,740
Now, list down the factors of 793
:1,13,61,793
Greatest Common Factor
We found the factors 740,793 . The biggest common factor number is the GCF number.
So the greatest common factor 740,793 is 1.
Lets's calculate LCM of 515,473
Given numbers has no common factors except 1. So, there LCM is their product i.e 243595
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/243595
Therefore, the GCF of Fractions 740/515,793/473 is 1/243595
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 515,473 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(515,473) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(515,473) x common factors =1 x 1 = 1
LCM(515,473) = ( 515 × 473 ) / 1
LCM(515,473) = 243595 / 1
LCM(515,473) = 243595
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 740,793?
The HCF of 740,793 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 740/515, 793/473?
Answer: GCF of Numerators as per given numbers 740/515, 793/473 is
GCF of Numerators i.e. for 740,793 is 1
LCM of denominators i.e. for 515,473 is 243595.
Thus, GCF of Fractions is 1/243595.Finally, GCF of Fractions for 740/515, 793/473 is 1/243595.