Use our free GCF of Fractions Calculator tool to compute the GCF of 123/965, 606/858 i.e 3/827970 easily. The following is the detailed procedure to determine the greatest common factor of fractions 123/965, 606/858.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 123/965,606/858
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 123/965,606/858, numerators are 123,606
Denominators are 965,858
The GCF of 123,606 is 3 .
LCM of 965,858 is 827970.
The greatest common factor of 123/965,606/858 = [GCF of 123,606]/[LCM of 965,858]= 3/827970
Therefore, the GCF of 123/965,606/858 is 3/827970.
To find the highest common factor of 123,606, we have to find the factors of both numbers and list the highest common factor.
The factors of 123 are 1, 3, 41, 123
The factors of 606 are 1, 2, 3, 6, 101, 202, 303, 606
The HCF of 123,606 is 3.
Lets's calculate GCF of 123,606
3 | 123, 606 |
41, 202 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 123
:1,3,41,123
Now, list down the factors of 606
:1,2,3,6,101,202,303,606
Greatest Common Factor
We found the factors 123,606 . The biggest common factor number is the GCF number.
So the greatest common factor 123,606 is 3.
Lets's calculate LCM of 965,858
Given numbers has no common factors except 1. So, there LCM is their product i.e 827970
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/827970
Therefore, the GCF of Fractions 123/965,606/858 is 3/827970
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 965,858 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(965,858) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(965,858) x common factors =1 x 1 = 1
LCM(965,858) = ( 965 × 858 ) / 1
LCM(965,858) = 827970 / 1
LCM(965,858) = 827970
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 123,606?
The HCF of 123,606 is 3
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 123/965, 606/858?
Answer: GCF of Numerators as per given numbers 123/965, 606/858 is
GCF of Numerators i.e. for 123,606 is 3
LCM of denominators i.e. for 965,858 is 827970.
Thus, GCF of Fractions is 3/827970.Finally, GCF of Fractions for 123/965, 606/858 is 3/827970.