Use our free GCF of Fractions Calculator tool to compute the GCF of 639/408, 467/405 i.e 1/55080 easily. The following is the detailed procedure to determine the greatest common factor of fractions 639/408, 467/405.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 639/408,467/405
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 639/408,467/405, numerators are 639,467
Denominators are 408,405
The GCF of 639,467 is 1 .
LCM of 408,405 is 55080.
The greatest common factor of 639/408,467/405 = [GCF of 639,467]/[LCM of 408,405]= 1/55080
Therefore, the GCF of 639/408,467/405 is 1/55080.
To find the highest common factor of 639,467, we have to find the factors of both numbers and list the highest common factor.
The factors of 639 are 1, 3, 9, 71, 213, 639
The factors of 467 are 1, 467
The HCF of 639,467 is 1.
Lets's calculate GCF of 639,467
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 639
:1,3,9,71,213,639
Now, list down the factors of 467
:1,467
Greatest Common Factor
We found the factors 639,467 . The biggest common factor number is the GCF number.
So the greatest common factor 639,467 is 1.
Lets's calculate LCM of 408,405
3 | 408, 405 |
136, 135 |
∴ So the LCM of the given numbers is 3 x 136 x 135 = 55080
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/55080
Therefore, the GCF of Fractions 639/408,467/405 is 1/55080
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 408,405 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(408,405) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(408,405) x common factors =3 x 1 = 3
LCM(408,405) = ( 408 × 405 ) / 3
LCM(408,405) = 165240 / 3
LCM(408,405) = 55080
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 639,467?
The HCF of 639,467 is 1
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 639/408, 467/405?
Answer: GCF of Numerators as per given numbers 639/408, 467/405 is
GCF of Numerators i.e. for 639,467 is 1
LCM of denominators i.e. for 408,405 is 55080.
Thus, GCF of Fractions is 1/55080.Finally, GCF of Fractions for 639/408, 467/405 is 1/55080.