Use our free GCF of Fractions Calculator tool to compute the GCF of 303/706, 400/743 i.e 1/524558 easily. The following is the detailed procedure to determine the greatest common factor of fractions 303/706, 400/743.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 303/706,400/743
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 303/706,400/743, numerators are 303,400
Denominators are 706,743
The GCF of 303,400 is 1 .
LCM of 706,743 is 524558.
The greatest common factor of 303/706,400/743 = [GCF of 303,400]/[LCM of 706,743]= 1/524558
Therefore, the GCF of 303/706,400/743 is 1/524558.
To find the highest common factor of 303,400, we have to find the factors of both numbers and list the highest common factor.
The factors of 303 are 1, 3, 101, 303
The factors of 400 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
The HCF of 303,400 is 1.
Lets's calculate GCF of 303,400
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 303
:1,3,101,303
Now, list down the factors of 400
:1,2,4,5,8,10,16,20,25,40,50,80,100,200,400
Greatest Common Factor
We found the factors 303,400 . The biggest common factor number is the GCF number.
So the greatest common factor 303,400 is 1.
Lets's calculate LCM of 706,743
Given numbers has no common factors except 1. So, there LCM is their product i.e 524558
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/524558
Therefore, the GCF of Fractions 303/706,400/743 is 1/524558
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 706,743 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(706,743) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(706,743) x common factors =1 x 1 = 1
LCM(706,743) = ( 706 × 743 ) / 1
LCM(706,743) = 524558 / 1
LCM(706,743) = 524558
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 303,400?
The HCF of 303,400 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 303/706, 400/743?
Answer: GCF of Numerators as per given numbers 303/706, 400/743 is
GCF of Numerators i.e. for 303,400 is 1
LCM of denominators i.e. for 706,743 is 524558.
Thus, GCF of Fractions is 1/524558.Finally, GCF of Fractions for 303/706, 400/743 is 1/524558.