Use our free GCF of Fractions Calculator tool to compute the GCF of 724/806, 430/713 i.e 2/18538 easily. The following is the detailed procedure to determine the greatest common factor of fractions 724/806, 430/713.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 724/806,430/713
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 724/806,430/713, numerators are 724,430
Denominators are 806,713
The GCF of 724,430 is 2 .
LCM of 806,713 is 18538.
The greatest common factor of 724/806,430/713 = [GCF of 724,430]/[LCM of 806,713]= 2/18538
Therefore, the GCF of 724/806,430/713 is 2/18538.
To find the highest common factor of 724,430, we have to find the factors of both numbers and list the highest common factor.
The factors of 724 are 1, 2, 4, 181, 362, 724
The factors of 430 are 1, 2, 5, 10, 43, 86, 215, 430
The HCF of 724,430 is 2.
Lets's calculate GCF of 724,430
2 | 724, 430 |
362, 215 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 724
:1,2,4,181,362,724
Now, list down the factors of 430
:1,2,5,10,43,86,215,430
Greatest Common Factor
We found the factors 724,430 . The biggest common factor number is the GCF number.
So the greatest common factor 724,430 is 2.
Lets's calculate LCM of 806,713
31 | 806, 713 |
26, 23 |
∴ So the LCM of the given numbers is 31 x 26 x 23 = 18538
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/18538
Therefore, the GCF of Fractions 724/806,430/713 is 2/18538
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 806,713 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(806,713) = 31
common factors(in case of two or more numbers have common factors) = 1
GCF(806,713) x common factors =31 x 1 = 31
LCM(806,713) = ( 806 × 713 ) / 31
LCM(806,713) = 574678 / 31
LCM(806,713) = 18538
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 724,430?
The HCF of 724,430 is 2
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 724/806, 430/713?
Answer: GCF of Numerators as per given numbers 724/806, 430/713 is
GCF of Numerators i.e. for 724,430 is 2
LCM of denominators i.e. for 806,713 is 18538.
Thus, GCF of Fractions is 2/18538.Finally, GCF of Fractions for 724/806, 430/713 is 2/18538.