Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4398/445,5529/5038
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 4398,5529
Greatest Common Factor of Numerators i.e. GCF of 4398,5529 is 3 .
LCM of Denominators means LCM of 445,5038 as per the given fractions.
LCM of 445,5038 is 2241910 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4398,5529
3 | 4398, 5529 |
1466, 1843 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 4398
List of positive integer factors of 4398 that divides 4398 without a remainder.
1,2,3,6,733,1466,2199,4398
Factors of 5529
List of positive integer factors of 5529 that divides 5529 without a remainder.
1,3,19,57,97,291,1843,5529
Greatest Common Factor
We found the factors 4398,5529 . The biggest common factor number is the GCF number.
So the greatest common factor 4398,5529 is 3.
Lets's calculate LCM of 445,5038
Given numbers has no common factors except 1. So, there LCM is their product i.e 2241910
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2241910
Therefore, the GCF of Fractions 4398/445,5529/5038 is 3/2241910
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 445,5038 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(445,5038) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(445,5038) x common factors =1 x 1 = 1
LCM(445,5038) = ( 445 × 5038 ) / 1
LCM(445,5038) = 2241910 / 1
LCM(445,5038) = 2241910
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. 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.
2. What is the GCF of Fractions for 4398/445, 5529/5038?
Answer: GCF of Numerators as per given numbers 4398/445, 5529/5038 is
GCF of Numerators i.e. for 4398,5529 is 3
LCM of denominators i.e. for 445,5038 is 2241910.
Thus, GCF of Fractions is 3/2241910.Finally, GCF of Fractions for 4398/445, 5529/5038 is 3/2241910.