Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4409/355,2244/9203
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 4409,2244
Greatest Common Factor of Numerators i.e. GCF of 4409,2244 is 1 .
LCM of Denominators means LCM of 355,9203 as per the given fractions.
LCM of 355,9203 is 3267065 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4409,2244
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4409
List of positive integer factors of 4409 that divides 4409 without a remainder.
1,4409
Factors of 2244
List of positive integer factors of 2244 that divides 2244 without a remainder.
1,2,3,4,6,11,12,17,22,33,34,44,51,66,68,102,132,187,204,374,561,748,1122,2244
Greatest Common Factor
We found the factors 4409,2244 . The biggest common factor number is the GCF number.
So the greatest common factor 4409,2244 is 1.
Lets's calculate LCM of 355,9203
Given numbers has no common factors except 1. So, there LCM is their product i.e 3267065
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3267065
Therefore, the GCF of Fractions 4409/355,2244/9203 is 1/3267065
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 355,9203 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(355,9203) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(355,9203) x common factors =1 x 1 = 1
LCM(355,9203) = ( 355 × 9203 ) / 1
LCM(355,9203) = 3267065 / 1
LCM(355,9203) = 3267065
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 4409/355, 2244/9203?
Answer: GCF of Numerators as per given numbers 4409/355, 2244/9203 is
GCF of Numerators i.e. for 4409,2244 is 1
LCM of denominators i.e. for 355,9203 is 3267065.
Thus, GCF of Fractions is 1/3267065.Finally, GCF of Fractions for 4409/355, 2244/9203 is 1/3267065.