Use our free GCF of Fractions Calculator tool to compute the GCF of 725/743, 665/542 i.e 5/402706 easily. The following is the detailed procedure to determine the greatest common factor of fractions 725/743, 665/542.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 725/743,665/542
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 725/743,665/542, numerators are 725,665
Denominators are 743,542
The GCF of 725,665 is 5 .
LCM of 743,542 is 402706.
The greatest common factor of 725/743,665/542 = [GCF of 725,665]/[LCM of 743,542]= 5/402706
Therefore, the GCF of 725/743,665/542 is 5/402706.
To find the highest common factor of 725,665, we have to find the factors of both numbers and list the highest common factor.
The factors of 725 are 1, 5, 25, 29, 145, 725
The factors of 665 are 1, 5, 7, 19, 35, 95, 133, 665
The HCF of 725,665 is 5.
Lets's calculate GCF of 725,665
5 | 725, 665 |
145, 133 |
∴ So the GCF of the given numbers is 5 = 5
Now, list down the factors of 725
:1,5,25,29,145,725
Now, list down the factors of 665
:1,5,7,19,35,95,133,665
Greatest Common Factor
We found the factors 725,665 . The biggest common factor number is the GCF number.
So the greatest common factor 725,665 is 5.
Lets's calculate LCM of 743,542
Given numbers has no common factors except 1. So, there LCM is their product i.e 402706
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/402706
Therefore, the GCF of Fractions 725/743,665/542 is 5/402706
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 743,542 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(743,542) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(743,542) x common factors =1 x 1 = 1
LCM(743,542) = ( 743 × 542 ) / 1
LCM(743,542) = 402706 / 1
LCM(743,542) = 402706
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 725,665?
The HCF of 725,665 is 5
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 725/743, 665/542?
Answer: GCF of Numerators as per given numbers 725/743, 665/542 is
GCF of Numerators i.e. for 725,665 is 5
LCM of denominators i.e. for 743,542 is 402706.
Thus, GCF of Fractions is 5/402706.Finally, GCF of Fractions for 725/743, 665/542 is 5/402706.