Use our free GCF of Fractions Calculator tool to compute the GCF of 267/242, 731/728 i.e 1/88088 easily. The following is the detailed procedure to determine the greatest common factor of fractions 267/242, 731/728.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 267/242,731/728
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 267/242,731/728, numerators are 267,731
Denominators are 242,728
The GCF of 267,731 is 1 .
LCM of 242,728 is 88088.
The greatest common factor of 267/242,731/728 = [GCF of 267,731]/[LCM of 242,728]= 1/88088
Therefore, the GCF of 267/242,731/728 is 1/88088.
To find the highest common factor of 267,731, we have to find the factors of both numbers and list the highest common factor.
The factors of 267 are 1, 3, 89, 267
The factors of 731 are 1, 17, 43, 731
The HCF of 267,731 is 1.
Lets's calculate GCF of 267,731
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 267
:1,3,89,267
Now, list down the factors of 731
:1,17,43,731
Greatest Common Factor
We found the factors 267,731 . The biggest common factor number is the GCF number.
So the greatest common factor 267,731 is 1.
Lets's calculate LCM of 242,728
2 | 242, 728 |
121, 364 |
∴ So the LCM of the given numbers is 2 x 121 x 364 = 88088
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/88088
Therefore, the GCF of Fractions 267/242,731/728 is 1/88088
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 242,728 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(242,728) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(242,728) x common factors =2 x 1 = 2
LCM(242,728) = ( 242 × 728 ) / 2
LCM(242,728) = 176176 / 2
LCM(242,728) = 88088
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 267,731?
The HCF of 267,731 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 267/242, 731/728?
Answer: GCF of Numerators as per given numbers 267/242, 731/728 is
GCF of Numerators i.e. for 267,731 is 1
LCM of denominators i.e. for 242,728 is 88088.
Thus, GCF of Fractions is 1/88088.Finally, GCF of Fractions for 267/242, 731/728 is 1/88088.