Use our free GCF of Fractions Calculator tool to compute the GCF of 9629/227, 4423/611 i.e 1/138697 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9629/227, 4423/611.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9629/227,4423/611
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 9629/227,4423/611, numerators are 9629,4423
Denominators are 227,611
The GCF of 9629,4423 is 1 .
LCM of 227,611 is 138697.
The greatest common factor of 9629/227,4423/611 = [GCF of 9629,4423]/[LCM of 227,611]= 1/138697
Therefore, the GCF of 9629/227,4423/611 is 1/138697.
To find the highest common factor of 9629,4423, we have to find the factors of both numbers and list the highest common factor.
The factors of 9629 are 1, 9629
The factors of 4423 are 1, 4423
The HCF of 9629,4423 is 1.
Lets's calculate GCF of 9629,4423
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 9629
:1,9629
Now, list down the factors of 4423
:1,4423
Greatest Common Factor
We found the factors 9629,4423 . The biggest common factor number is the GCF number.
So the greatest common factor 9629,4423 is 1.
Lets's calculate LCM of 227,611
Given numbers has no common factors except 1. So, there LCM is their product i.e 138697
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/138697
Therefore, the GCF of Fractions 9629/227,4423/611 is 1/138697
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 227,611 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(227,611) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(227,611) x common factors =1 x 1 = 1
LCM(227,611) = ( 227 × 611 ) / 1
LCM(227,611) = 138697 / 1
LCM(227,611) = 138697
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 9629,4423?
The HCF of 9629,4423 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 9629/227, 4423/611?
Answer: GCF of Numerators as per given numbers 9629/227, 4423/611 is
GCF of Numerators i.e. for 9629,4423 is 1
LCM of denominators i.e. for 227,611 is 138697.
Thus, GCF of Fractions is 1/138697.Finally, GCF of Fractions for 9629/227, 4423/611 is 1/138697.