Use our free GCF of Fractions Calculator tool to compute the GCF of 289/916, 743/232 i.e 1/53128 easily. The following is the detailed procedure to determine the greatest common factor of fractions 289/916, 743/232.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 289/916,743/232
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 289/916,743/232, numerators are 289,743
Denominators are 916,232
The GCF of 289,743 is 1 .
LCM of 916,232 is 53128.
The greatest common factor of 289/916,743/232 = [GCF of 289,743]/[LCM of 916,232]= 1/53128
Therefore, the GCF of 289/916,743/232 is 1/53128.
To find the highest common factor of 289,743, we have to find the factors of both numbers and list the highest common factor.
The factors of 289 are 1, 17, 289
The factors of 743 are 1, 743
The HCF of 289,743 is 1.
Lets's calculate GCF of 289,743
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 289
:1,17,289
Now, list down the factors of 743
:1,743
Greatest Common Factor
We found the factors 289,743 . The biggest common factor number is the GCF number.
So the greatest common factor 289,743 is 1.
Lets's calculate LCM of 916,232
2 | 916, 232 |
2 | 458, 116 |
229, 58 |
∴ So the LCM of the given numbers is 2 x 2 x 229 x 58 = 53128
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/53128
Therefore, the GCF of Fractions 289/916,743/232 is 1/53128
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 916,232 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(916,232) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(916,232) x common factors =4 x 1 = 4
LCM(916,232) = ( 916 × 232 ) / 4
LCM(916,232) = 212512 / 4
LCM(916,232) = 53128
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 289,743?
The HCF of 289,743 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 289/916, 743/232?
Answer: GCF of Numerators as per given numbers 289/916, 743/232 is
GCF of Numerators i.e. for 289,743 is 1
LCM of denominators i.e. for 916,232 is 53128.
Thus, GCF of Fractions is 1/53128.Finally, GCF of Fractions for 289/916, 743/232 is 1/53128.