Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2446/459,1184/244
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 2446,1184
Greatest Common Factor of Numerators i.e. GCF of 2446,1184 is 2 .
LCM of Denominators means LCM of 459,244 as per the given fractions.
LCM of 459,244 is 111996 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2446,1184
2 | 2446, 1184 |
1223, 592 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 2446
List of positive integer factors of 2446 that divides 2446 without a remainder.
1,2,1223,2446
Factors of 1184
List of positive integer factors of 1184 that divides 1184 without a remainder.
1,2,4,8,16,32,37,74,148,296,592,1184
Greatest Common Factor
We found the factors 2446,1184 . The biggest common factor number is the GCF number.
So the greatest common factor 2446,1184 is 2.
Lets's calculate LCM of 459,244
Given numbers has no common factors except 1. So, there LCM is their product i.e 111996
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/111996
Therefore, the GCF of Fractions 2446/459,1184/244 is 2/111996
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 459,244 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(459,244) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(459,244) x common factors =1 x 1 = 1
LCM(459,244) = ( 459 × 244 ) / 1
LCM(459,244) = 111996 / 1
LCM(459,244) = 111996
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 2446/459, 1184/244?
Answer: GCF of Numerators as per given numbers 2446/459, 1184/244 is
GCF of Numerators i.e. for 2446,1184 is 2
LCM of denominators i.e. for 459,244 is 111996.
Thus, GCF of Fractions is 2/111996.Finally, GCF of Fractions for 2446/459, 1184/244 is 2/111996.