Use our free GCF of Fractions Calculator tool to compute the GCF of 433/566, 663/617 i.e 1/349222 easily. The following is the detailed procedure to determine the greatest common factor of fractions 433/566, 663/617.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 433/566,663/617
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 433/566,663/617, numerators are 433,663
Denominators are 566,617
The GCF of 433,663 is 1 .
LCM of 566,617 is 349222.
The greatest common factor of 433/566,663/617 = [GCF of 433,663]/[LCM of 566,617]= 1/349222
Therefore, the GCF of 433/566,663/617 is 1/349222.
To find the highest common factor of 433,663, we have to find the factors of both numbers and list the highest common factor.
The factors of 433 are 1, 433
The factors of 663 are 1, 3, 13, 17, 39, 51, 221, 663
The HCF of 433,663 is 1.
Lets's calculate GCF of 433,663
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 433
:1,433
Now, list down the factors of 663
:1,3,13,17,39,51,221,663
Greatest Common Factor
We found the factors 433,663 . The biggest common factor number is the GCF number.
So the greatest common factor 433,663 is 1.
Lets's calculate LCM of 566,617
Given numbers has no common factors except 1. So, there LCM is their product i.e 349222
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/349222
Therefore, the GCF of Fractions 433/566,663/617 is 1/349222
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 566,617 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(566,617) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(566,617) x common factors =1 x 1 = 1
LCM(566,617) = ( 566 × 617 ) / 1
LCM(566,617) = 349222 / 1
LCM(566,617) = 349222
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 433,663?
The HCF of 433,663 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 433/566, 663/617?
Answer: GCF of Numerators as per given numbers 433/566, 663/617 is
GCF of Numerators i.e. for 433,663 is 1
LCM of denominators i.e. for 566,617 is 349222.
Thus, GCF of Fractions is 1/349222.Finally, GCF of Fractions for 433/566, 663/617 is 1/349222.