Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 240/3433,459/4911
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 240,459
Greatest Common Factor of Numerators i.e. GCF of 240,459 is 3 .
LCM of Denominators means LCM of 3433,4911 as per the given fractions.
LCM of 3433,4911 is 16859463 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 240,459
3 | 240, 459 |
80, 153 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 240
List of positive integer factors of 240 that divides 240 without a remainder.
1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240
Factors of 459
List of positive integer factors of 459 that divides 459 without a remainder.
1,3,9,17,27,51,153,459
Greatest Common Factor
We found the factors 240,459 . The biggest common factor number is the GCF number.
So the greatest common factor 240,459 is 3.
Lets's calculate LCM of 3433,4911
Given numbers has no common factors except 1. So, there LCM is their product i.e 16859463
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/16859463
Therefore, the GCF of Fractions 240/3433,459/4911 is 3/16859463
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 3433,4911 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3433,4911) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3433,4911) x common factors =1 x 1 = 1
LCM(3433,4911) = ( 3433 × 4911 ) / 1
LCM(3433,4911) = 16859463 / 1
LCM(3433,4911) = 16859463
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 240/3433, 459/4911?
Answer: GCF of Numerators as per given numbers 240/3433, 459/4911 is
GCF of Numerators i.e. for 240,459 is 3
LCM of denominators i.e. for 3433,4911 is 16859463.
Thus, GCF of Fractions is 3/16859463.Finally, GCF of Fractions for 240/3433, 459/4911 is 3/16859463.