Use our free GCF of Fractions Calculator tool to compute the GCF of 221/723, 653/399 i.e 1/96159 easily. The following is the detailed procedure to determine the greatest common factor of fractions 221/723, 653/399.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 221/723,653/399
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 221/723,653/399, numerators are 221,653
Denominators are 723,399
The GCF of 221,653 is 1 .
LCM of 723,399 is 96159.
The greatest common factor of 221/723,653/399 = [GCF of 221,653]/[LCM of 723,399]= 1/96159
Therefore, the GCF of 221/723,653/399 is 1/96159.
To find the highest common factor of 221,653, we have to find the factors of both numbers and list the highest common factor.
The factors of 221 are 1, 13, 17, 221
The factors of 653 are 1, 653
The HCF of 221,653 is 1.
Lets's calculate GCF of 221,653
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 221
:1,13,17,221
Now, list down the factors of 653
:1,653
Greatest Common Factor
We found the factors 221,653 . The biggest common factor number is the GCF number.
So the greatest common factor 221,653 is 1.
Lets's calculate LCM of 723,399
3 | 723, 399 |
241, 133 |
∴ So the LCM of the given numbers is 3 x 241 x 133 = 96159
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/96159
Therefore, the GCF of Fractions 221/723,653/399 is 1/96159
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 723,399 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(723,399) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(723,399) x common factors =3 x 1 = 3
LCM(723,399) = ( 723 × 399 ) / 3
LCM(723,399) = 288477 / 3
LCM(723,399) = 96159
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 221,653?
The HCF of 221,653 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 221/723, 653/399?
Answer: GCF of Numerators as per given numbers 221/723, 653/399 is
GCF of Numerators i.e. for 221,653 is 1
LCM of denominators i.e. for 723,399 is 96159.
Thus, GCF of Fractions is 1/96159.Finally, GCF of Fractions for 221/723, 653/399 is 1/96159.