Use our free GCF of Fractions Calculator tool to compute the GCF of 4428/289, 8099/9378 i.e 1/2710242 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4428/289, 8099/9378.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4428/289,8099/9378
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 4428/289,8099/9378, numerators are 4428,8099
Denominators are 289,9378
The GCF of 4428,8099 is 1 .
LCM of 289,9378 is 2710242.
The greatest common factor of 4428/289,8099/9378 = [GCF of 4428,8099]/[LCM of 289,9378]= 1/2710242
Therefore, the GCF of 4428/289,8099/9378 is 1/2710242.
To find the highest common factor of 4428,8099, we have to find the factors of both numbers and list the highest common factor.
The factors of 4428 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 41, 54, 82, 108, 123, 164, 246, 369, 492, 738, 1107, 1476, 2214, 4428
The factors of 8099 are 1, 7, 13, 89, 91, 623, 1157, 8099
The HCF of 4428,8099 is 1.
Lets's calculate GCF of 4428,8099
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 4428
:1,2,3,4,6,9,12,18,27,36,41,54,82,108,123,164,246,369,492,738,1107,1476,2214,4428
Now, list down the factors of 8099
:1,7,13,89,91,623,1157,8099
Greatest Common Factor
We found the factors 4428,8099 . The biggest common factor number is the GCF number.
So the greatest common factor 4428,8099 is 1.
Lets's calculate LCM of 289,9378
Given numbers has no common factors except 1. So, there LCM is their product i.e 2710242
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2710242
Therefore, the GCF of Fractions 4428/289,8099/9378 is 1/2710242
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 289,9378 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(289,9378) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(289,9378) x common factors =1 x 1 = 1
LCM(289,9378) = ( 289 × 9378 ) / 1
LCM(289,9378) = 2710242 / 1
LCM(289,9378) = 2710242
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 4428,8099?
The HCF of 4428,8099 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 4428/289, 8099/9378?
Answer: GCF of Numerators as per given numbers 4428/289, 8099/9378 is
GCF of Numerators i.e. for 4428,8099 is 1
LCM of denominators i.e. for 289,9378 is 2710242.
Thus, GCF of Fractions is 1/2710242.Finally, GCF of Fractions for 4428/289, 8099/9378 is 1/2710242.