Use our free GCF of Fractions Calculator tool to compute the GCF of 731/606, 198/724 i.e 1/219372 easily. The following is the detailed procedure to determine the greatest common factor of fractions 731/606, 198/724.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 731/606,198/724
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 731/606,198/724, numerators are 731,198
Denominators are 606,724
The GCF of 731,198 is 1 .
LCM of 606,724 is 219372.
The greatest common factor of 731/606,198/724 = [GCF of 731,198]/[LCM of 606,724]= 1/219372
Therefore, the GCF of 731/606,198/724 is 1/219372.
To find the highest common factor of 731,198, we have to find the factors of both numbers and list the highest common factor.
The factors of 731 are 1, 17, 43, 731
The factors of 198 are 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
The HCF of 731,198 is 1.
Lets's calculate GCF of 731,198
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 731
:1,17,43,731
Now, list down the factors of 198
:1,2,3,6,9,11,18,22,33,66,99,198
Greatest Common Factor
We found the factors 731,198 . The biggest common factor number is the GCF number.
So the greatest common factor 731,198 is 1.
Lets's calculate LCM of 606,724
2 | 606, 724 |
303, 362 |
∴ So the LCM of the given numbers is 2 x 303 x 362 = 219372
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/219372
Therefore, the GCF of Fractions 731/606,198/724 is 1/219372
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 606,724 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(606,724) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(606,724) x common factors =2 x 1 = 2
LCM(606,724) = ( 606 × 724 ) / 2
LCM(606,724) = 438744 / 2
LCM(606,724) = 219372
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 731,198?
The HCF of 731,198 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 731/606, 198/724?
Answer: GCF of Numerators as per given numbers 731/606, 198/724 is
GCF of Numerators i.e. for 731,198 is 1
LCM of denominators i.e. for 606,724 is 219372.
Thus, GCF of Fractions is 1/219372.Finally, GCF of Fractions for 731/606, 198/724 is 1/219372.