Use our free GCF of Fractions Calculator tool to compute the GCF of 2308/888, 6379/9615 i.e 1/2846040 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2308/888, 6379/9615.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2308/888,6379/9615
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 2308/888,6379/9615, numerators are 2308,6379
Denominators are 888,9615
The GCF of 2308,6379 is 1 .
LCM of 888,9615 is 2846040.
The greatest common factor of 2308/888,6379/9615 = [GCF of 2308,6379]/[LCM of 888,9615]= 1/2846040
Therefore, the GCF of 2308/888,6379/9615 is 1/2846040.
To find the highest common factor of 2308,6379, we have to find the factors of both numbers and list the highest common factor.
The factors of 2308 are 1, 2, 4, 577, 1154, 2308
The factors of 6379 are 1, 6379
The HCF of 2308,6379 is 1.
Lets's calculate GCF of 2308,6379
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 2308
:1,2,4,577,1154,2308
Now, list down the factors of 6379
:1,6379
Greatest Common Factor
We found the factors 2308,6379 . The biggest common factor number is the GCF number.
So the greatest common factor 2308,6379 is 1.
Lets's calculate LCM of 888,9615
3 | 888, 9615 |
296, 3205 |
∴ So the LCM of the given numbers is 3 x 296 x 3205 = 2846040
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2846040
Therefore, the GCF of Fractions 2308/888,6379/9615 is 1/2846040
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 888,9615 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(888,9615) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(888,9615) x common factors =3 x 1 = 3
LCM(888,9615) = ( 888 × 9615 ) / 3
LCM(888,9615) = 8538120 / 3
LCM(888,9615) = 2846040
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 2308,6379?
The HCF of 2308,6379 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 2308/888, 6379/9615?
Answer: GCF of Numerators as per given numbers 2308/888, 6379/9615 is
GCF of Numerators i.e. for 2308,6379 is 1
LCM of denominators i.e. for 888,9615 is 2846040.
Thus, GCF of Fractions is 1/2846040.Finally, GCF of Fractions for 2308/888, 6379/9615 is 1/2846040.