Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 459/20,519/2305
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 459,519
Greatest Common Factor of Numerators i.e. GCF of 459,519 is 3 .
LCM of Denominators means LCM of 20,2305 as per the given fractions.
LCM of 20,2305 is 9220 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 459,519
3 | 459, 519 |
153, 173 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 459
List of positive integer factors of 459 that divides 459 without a remainder.
1,3,9,17,27,51,153,459
Factors of 519
List of positive integer factors of 519 that divides 519 without a remainder.
1,3,173,519
Greatest Common Factor
We found the factors 459,519 . The biggest common factor number is the GCF number.
So the greatest common factor 459,519 is 3.
Lets's calculate LCM of 20,2305
5 | 20, 2305 |
4, 461 |
∴ So the LCM of the given numbers is 5 x 4 x 461 = 9220
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/9220
Therefore, the GCF of Fractions 459/20,519/2305 is 3/9220
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 20,2305 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(20,2305) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(20,2305) x common factors =5 x 1 = 5
LCM(20,2305) = ( 20 × 2305 ) / 5
LCM(20,2305) = 46100 / 5
LCM(20,2305) = 9220
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 459/20, 519/2305?
Answer: GCF of Numerators as per given numbers 459/20, 519/2305 is
GCF of Numerators i.e. for 459,519 is 3
LCM of denominators i.e. for 20,2305 is 9220.
Thus, GCF of Fractions is 3/9220.Finally, GCF of Fractions for 459/20, 519/2305 is 3/9220.