Use our free GCF of Fractions Calculator tool to compute the GCF of 233/533, 958/219 i.e 1/116727 easily. The following is the detailed procedure to determine the greatest common factor of fractions 233/533, 958/219.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 233/533,958/219
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 233/533,958/219, numerators are 233,958
Denominators are 533,219
The GCF of 233,958 is 1 .
LCM of 533,219 is 116727.
The greatest common factor of 233/533,958/219 = [GCF of 233,958]/[LCM of 533,219]= 1/116727
Therefore, the GCF of 233/533,958/219 is 1/116727.
To find the highest common factor of 233,958, we have to find the factors of both numbers and list the highest common factor.
The factors of 233 are 1, 233
The factors of 958 are 1, 2, 479, 958
The HCF of 233,958 is 1.
Lets's calculate GCF of 233,958
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 233
:1,233
Now, list down the factors of 958
:1,2,479,958
Greatest Common Factor
We found the factors 233,958 . The biggest common factor number is the GCF number.
So the greatest common factor 233,958 is 1.
Lets's calculate LCM of 533,219
Given numbers has no common factors except 1. So, there LCM is their product i.e 116727
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/116727
Therefore, the GCF of Fractions 233/533,958/219 is 1/116727
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 533,219 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(533,219) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(533,219) x common factors =1 x 1 = 1
LCM(533,219) = ( 533 × 219 ) / 1
LCM(533,219) = 116727 / 1
LCM(533,219) = 116727
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 233,958?
The HCF of 233,958 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 233/533, 958/219?
Answer: GCF of Numerators as per given numbers 233/533, 958/219 is
GCF of Numerators i.e. for 233,958 is 1
LCM of denominators i.e. for 533,219 is 116727.
Thus, GCF of Fractions is 1/116727.Finally, GCF of Fractions for 233/533, 958/219 is 1/116727.