Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 313/61,230/5463
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 313,230
Greatest Common Factor of Numerators i.e. GCF of 313,230 is 1 .
LCM of Denominators means LCM of 61,5463 as per the given fractions.
LCM of 61,5463 is 333243 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 313,230
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 313
List of positive integer factors of 313 that divides 313 without a remainder.
1,313
Factors of 230
List of positive integer factors of 230 that divides 230 without a remainder.
1,2,5,10,23,46,115,230
Greatest Common Factor
We found the factors 313,230 . The biggest common factor number is the GCF number.
So the greatest common factor 313,230 is 1.
Lets's calculate LCM of 61,5463
Given numbers has no common factors except 1. So, there LCM is their product i.e 333243
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/333243
Therefore, the GCF of Fractions 313/61,230/5463 is 1/333243
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 61,5463 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(61,5463) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(61,5463) x common factors =1 x 1 = 1
LCM(61,5463) = ( 61 × 5463 ) / 1
LCM(61,5463) = 333243 / 1
LCM(61,5463) = 333243
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 313/61, 230/5463?
Answer: GCF of Numerators as per given numbers 313/61, 230/5463 is
GCF of Numerators i.e. for 313,230 is 1
LCM of denominators i.e. for 61,5463 is 333243.
Thus, GCF of Fractions is 1/333243.Finally, GCF of Fractions for 313/61, 230/5463 is 1/333243.