Use our free GCF of Fractions Calculator tool to compute the GCF of 667/547, 460/388 i.e 23/212236 easily. The following is the detailed procedure to determine the greatest common factor of fractions 667/547, 460/388.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 667/547,460/388
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 667/547,460/388, numerators are 667,460
Denominators are 547,388
The GCF of 667,460 is 23 .
LCM of 547,388 is 212236.
The greatest common factor of 667/547,460/388 = [GCF of 667,460]/[LCM of 547,388]= 23/212236
Therefore, the GCF of 667/547,460/388 is 23/212236.
To find the highest common factor of 667,460, 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 460 are 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
The HCF of 667,460 is 23.
Lets's calculate GCF of 667,460
23 | 667, 460 |
29, 20 |
∴ 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 460
:1,2,4,5,10,20,23,46,92,115,230,460
Greatest Common Factor
We found the factors 667,460 . The biggest common factor number is the GCF number.
So the greatest common factor 667,460 is 23.
Lets's calculate LCM of 547,388
Given numbers has no common factors except 1. So, there LCM is their product i.e 212236
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/212236
Therefore, the GCF of Fractions 667/547,460/388 is 23/212236
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 547,388 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(547,388) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(547,388) x common factors =1 x 1 = 1
LCM(547,388) = ( 547 × 388 ) / 1
LCM(547,388) = 212236 / 1
LCM(547,388) = 212236
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 667,460?
The HCF of 667,460 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 667/547, 460/388?
Answer: GCF of Numerators as per given numbers 667/547, 460/388 is
GCF of Numerators i.e. for 667,460 is 23
LCM of denominators i.e. for 547,388 is 212236.
Thus, GCF of Fractions is 23/212236.Finally, GCF of Fractions for 667/547, 460/388 is 23/212236.