Use our free GCF of Fractions Calculator tool to compute the GCF of 667/615, 230/649 i.e 23/399135 easily. The following is the detailed procedure to determine the greatest common factor of fractions 667/615, 230/649.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 667/615,230/649
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 667/615,230/649, numerators are 667,230
Denominators are 615,649
The GCF of 667,230 is 23 .
LCM of 615,649 is 399135.
The greatest common factor of 667/615,230/649 = [GCF of 667,230]/[LCM of 615,649]= 23/399135
Therefore, the GCF of 667/615,230/649 is 23/399135.
To find the highest common factor of 667,230, we have to find the factors of both numbers and list the highest common factor.
The factors of 667 are 1, 23, 29, 667
The factors of 230 are 1, 2, 5, 10, 23, 46, 115, 230
The HCF of 667,230 is 23.
Lets's calculate GCF of 667,230
23 | 667, 230 |
29, 10 |
∴ So the GCF of the given numbers is 23 = 23
Now, list down the factors of 667
:1,23,29,667
Now, list down the factors of 230
:1,2,5,10,23,46,115,230
Greatest Common Factor
We found the factors 667,230 . The biggest common factor number is the GCF number.
So the greatest common factor 667,230 is 23.
Lets's calculate LCM of 615,649
Given numbers has no common factors except 1. So, there LCM is their product i.e 399135
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/399135
Therefore, the GCF of Fractions 667/615,230/649 is 23/399135
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 615,649 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(615,649) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(615,649) x common factors =1 x 1 = 1
LCM(615,649) = ( 615 × 649 ) / 1
LCM(615,649) = 399135 / 1
LCM(615,649) = 399135
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 667,230?
The HCF of 667,230 is 23
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 667/615, 230/649?
Answer: GCF of Numerators as per given numbers 667/615, 230/649 is
GCF of Numerators i.e. for 667,230 is 23
LCM of denominators i.e. for 615,649 is 399135.
Thus, GCF of Fractions is 23/399135.Finally, GCF of Fractions for 667/615, 230/649 is 23/399135.