Use our free GCF of Fractions Calculator tool to compute the GCF of 565/918, 761/723 i.e 1/221238 easily. The following is the detailed procedure to determine the greatest common factor of fractions 565/918, 761/723.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 565/918,761/723
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 565/918,761/723, numerators are 565,761
Denominators are 918,723
The GCF of 565,761 is 1 .
LCM of 918,723 is 221238.
The greatest common factor of 565/918,761/723 = [GCF of 565,761]/[LCM of 918,723]= 1/221238
Therefore, the GCF of 565/918,761/723 is 1/221238.
To find the highest common factor of 565,761, we have to find the factors of both numbers and list the highest common factor.
The factors of 565 are 1, 5, 113, 565
The factors of 761 are 1, 761
The HCF of 565,761 is 1.
Lets's calculate GCF of 565,761
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 565
:1,5,113,565
Now, list down the factors of 761
:1,761
Greatest Common Factor
We found the factors 565,761 . The biggest common factor number is the GCF number.
So the greatest common factor 565,761 is 1.
Lets's calculate LCM of 918,723
3 | 918, 723 |
306, 241 |
∴ So the LCM of the given numbers is 3 x 306 x 241 = 221238
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/221238
Therefore, the GCF of Fractions 565/918,761/723 is 1/221238
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 918,723 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(918,723) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(918,723) x common factors =3 x 1 = 3
LCM(918,723) = ( 918 × 723 ) / 3
LCM(918,723) = 663714 / 3
LCM(918,723) = 221238
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 565,761?
The HCF of 565,761 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 565/918, 761/723?
Answer: GCF of Numerators as per given numbers 565/918, 761/723 is
GCF of Numerators i.e. for 565,761 is 1
LCM of denominators i.e. for 918,723 is 221238.
Thus, GCF of Fractions is 1/221238.Finally, GCF of Fractions for 565/918, 761/723 is 1/221238.