Use our free GCF of Fractions Calculator tool to compute the GCF of 666/927, 156/232 i.e 6/215064 easily. The following is the detailed procedure to determine the greatest common factor of fractions 666/927, 156/232.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 666/927,156/232
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 666/927,156/232, numerators are 666,156
Denominators are 927,232
The GCF of 666,156 is 6 .
LCM of 927,232 is 215064.
The greatest common factor of 666/927,156/232 = [GCF of 666,156]/[LCM of 927,232]= 6/215064
Therefore, the GCF of 666/927,156/232 is 6/215064.
To find the highest common factor of 666,156, we have to find the factors of both numbers and list the highest common factor.
The factors of 666 are 1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666
The factors of 156 are 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
The HCF of 666,156 is 6.
Lets's calculate GCF of 666,156
2 | 666, 156 |
3 | 333, 78 |
111, 26 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Now, list down the factors of 666
:1,2,3,6,9,18,37,74,111,222,333,666
Now, list down the factors of 156
:1,2,3,4,6,12,13,26,39,52,78,156
Greatest Common Factor
We found the factors 666,156 . The biggest common factor number is the GCF number.
So the greatest common factor 666,156 is 6.
Lets's calculate LCM of 927,232
Given numbers has no common factors except 1. So, there LCM is their product i.e 215064
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/215064
Therefore, the GCF of Fractions 666/927,156/232 is 6/215064
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 927,232 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(927,232) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(927,232) x common factors =1 x 1 = 1
LCM(927,232) = ( 927 × 232 ) / 1
LCM(927,232) = 215064 / 1
LCM(927,232) = 215064
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 666,156?
The HCF of 666,156 is 6
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 666/927, 156/232?
Answer: GCF of Numerators as per given numbers 666/927, 156/232 is
GCF of Numerators i.e. for 666,156 is 6
LCM of denominators i.e. for 927,232 is 215064.
Thus, GCF of Fractions is 6/215064.Finally, GCF of Fractions for 666/927, 156/232 is 6/215064.