Use our free GCF of Fractions Calculator tool to compute the GCF of 165/669, 663/166 i.e 3/111054 easily. The following is the detailed procedure to determine the greatest common factor of fractions 165/669, 663/166.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 165/669,663/166
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 165/669,663/166, numerators are 165,663
Denominators are 669,166
The GCF of 165,663 is 3 .
LCM of 669,166 is 111054.
The greatest common factor of 165/669,663/166 = [GCF of 165,663]/[LCM of 669,166]= 3/111054
Therefore, the GCF of 165/669,663/166 is 3/111054.
To find the highest common factor of 165,663, we have to find the factors of both numbers and list the highest common factor.
The factors of 165 are 1, 3, 5, 11, 15, 33, 55, 165
The factors of 663 are 1, 3, 13, 17, 39, 51, 221, 663
The HCF of 165,663 is 3.
Lets's calculate GCF of 165,663
3 | 165, 663 |
55, 221 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 165
:1,3,5,11,15,33,55,165
Now, list down the factors of 663
:1,3,13,17,39,51,221,663
Greatest Common Factor
We found the factors 165,663 . The biggest common factor number is the GCF number.
So the greatest common factor 165,663 is 3.
Lets's calculate LCM of 669,166
Given numbers has no common factors except 1. So, there LCM is their product i.e 111054
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/111054
Therefore, the GCF of Fractions 165/669,663/166 is 3/111054
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 669,166 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(669,166) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(669,166) x common factors =1 x 1 = 1
LCM(669,166) = ( 669 × 166 ) / 1
LCM(669,166) = 111054 / 1
LCM(669,166) = 111054
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 165,663?
The HCF of 165,663 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 165/669, 663/166?
Answer: GCF of Numerators as per given numbers 165/669, 663/166 is
GCF of Numerators i.e. for 165,663 is 3
LCM of denominators i.e. for 669,166 is 111054.
Thus, GCF of Fractions is 3/111054.Finally, GCF of Fractions for 165/669, 663/166 is 3/111054.