Use our free GCF of Fractions Calculator tool to compute the GCF of 666/417, 116/304 i.e 2/126768 easily. The following is the detailed procedure to determine the greatest common factor of fractions 666/417, 116/304.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 666/417,116/304
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 666/417,116/304, numerators are 666,116
Denominators are 417,304
The GCF of 666,116 is 2 .
LCM of 417,304 is 126768.
The greatest common factor of 666/417,116/304 = [GCF of 666,116]/[LCM of 417,304]= 2/126768
Therefore, the GCF of 666/417,116/304 is 2/126768.
To find the highest common factor of 666,116, 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 116 are 1, 2, 4, 29, 58, 116
The HCF of 666,116 is 2.
Lets's calculate GCF of 666,116
2 | 666, 116 |
333, 58 |
∴ So the GCF of the given numbers is 2 = 2
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 116
:1,2,4,29,58,116
Greatest Common Factor
We found the factors 666,116 . The biggest common factor number is the GCF number.
So the greatest common factor 666,116 is 2.
Lets's calculate LCM of 417,304
Given numbers has no common factors except 1. So, there LCM is their product i.e 126768
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/126768
Therefore, the GCF of Fractions 666/417,116/304 is 2/126768
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 417,304 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(417,304) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(417,304) x common factors =1 x 1 = 1
LCM(417,304) = ( 417 × 304 ) / 1
LCM(417,304) = 126768 / 1
LCM(417,304) = 126768
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 666,116?
The HCF of 666,116 is 2
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 666/417, 116/304?
Answer: GCF of Numerators as per given numbers 666/417, 116/304 is
GCF of Numerators i.e. for 666,116 is 2
LCM of denominators i.e. for 417,304 is 126768.
Thus, GCF of Fractions is 2/126768.Finally, GCF of Fractions for 666/417, 116/304 is 2/126768.