Use our free GCF of Fractions Calculator tool to compute the GCF of 6379/288, 8338/4638 i.e 1/222624 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6379/288, 8338/4638.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6379/288,8338/4638
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 6379/288,8338/4638, numerators are 6379,8338
Denominators are 288,4638
The GCF of 6379,8338 is 1 .
LCM of 288,4638 is 222624.
The greatest common factor of 6379/288,8338/4638 = [GCF of 6379,8338]/[LCM of 288,4638]= 1/222624
Therefore, the GCF of 6379/288,8338/4638 is 1/222624.
To find the highest common factor of 6379,8338, we have to find the factors of both numbers and list the highest common factor.
The factors of 6379 are 1, 6379
The factors of 8338 are 1, 2, 11, 22, 379, 758, 4169, 8338
The HCF of 6379,8338 is 1.
Lets's calculate GCF of 6379,8338
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 6379
:1,6379
Now, list down the factors of 8338
:1,2,11,22,379,758,4169,8338
Greatest Common Factor
We found the factors 6379,8338 . The biggest common factor number is the GCF number.
So the greatest common factor 6379,8338 is 1.
Lets's calculate LCM of 288,4638
2 | 288, 4638 |
3 | 144, 2319 |
48, 773 |
∴ So the LCM of the given numbers is 2 x 3 x 48 x 773 = 222624
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/222624
Therefore, the GCF of Fractions 6379/288,8338/4638 is 1/222624
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 288,4638 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(288,4638) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(288,4638) x common factors =6 x 1 = 6
LCM(288,4638) = ( 288 × 4638 ) / 6
LCM(288,4638) = 1335744 / 6
LCM(288,4638) = 222624
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 6379,8338?
The HCF of 6379,8338 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 6379/288, 8338/4638?
Answer: GCF of Numerators as per given numbers 6379/288, 8338/4638 is
GCF of Numerators i.e. for 6379,8338 is 1
LCM of denominators i.e. for 288,4638 is 222624.
Thus, GCF of Fractions is 1/222624.Finally, GCF of Fractions for 6379/288, 8338/4638 is 1/222624.