Use our free GCF of Fractions Calculator tool to compute the GCF of 1219/615, 8806/9480 i.e 1/388680 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1219/615, 8806/9480.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1219/615,8806/9480
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 1219/615,8806/9480, numerators are 1219,8806
Denominators are 615,9480
The GCF of 1219,8806 is 1 .
LCM of 615,9480 is 388680.
The greatest common factor of 1219/615,8806/9480 = [GCF of 1219,8806]/[LCM of 615,9480]= 1/388680
Therefore, the GCF of 1219/615,8806/9480 is 1/388680.
To find the highest common factor of 1219,8806, we have to find the factors of both numbers and list the highest common factor.
The factors of 1219 are 1, 23, 53, 1219
The factors of 8806 are 1, 2, 7, 14, 17, 34, 37, 74, 119, 238, 259, 518, 629, 1258, 4403, 8806
The HCF of 1219,8806 is 1.
Lets's calculate GCF of 1219,8806
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 1219
:1,23,53,1219
Now, list down the factors of 8806
:1,2,7,14,17,34,37,74,119,238,259,518,629,1258,4403,8806
Greatest Common Factor
We found the factors 1219,8806 . The biggest common factor number is the GCF number.
So the greatest common factor 1219,8806 is 1.
Lets's calculate LCM of 615,9480
3 | 615, 9480 |
5 | 205, 3160 |
41, 632 |
∴ So the LCM of the given numbers is 3 x 5 x 41 x 632 = 388680
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/388680
Therefore, the GCF of Fractions 1219/615,8806/9480 is 1/388680
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 615,9480 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(615,9480) = 15
common factors(in case of two or more numbers have common factors) = 1
GCF(615,9480) x common factors =15 x 1 = 15
LCM(615,9480) = ( 615 × 9480 ) / 15
LCM(615,9480) = 5830200 / 15
LCM(615,9480) = 388680
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 1219,8806?
The HCF of 1219,8806 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 1219/615, 8806/9480?
Answer: GCF of Numerators as per given numbers 1219/615, 8806/9480 is
GCF of Numerators i.e. for 1219,8806 is 1
LCM of denominators i.e. for 615,9480 is 388680.
Thus, GCF of Fractions is 1/388680.Finally, GCF of Fractions for 1219/615, 8806/9480 is 1/388680.