Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 324/436,4513/455
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 324,4513
Greatest Common Factor of Numerators i.e. GCF of 324,4513 is 1 .
LCM of Denominators means LCM of 436,455 as per the given fractions.
LCM of 436,455 is 198380 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 324,4513
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 324
List of positive integer factors of 324 that divides 324 without a remainder.
1,2,3,4,6,9,12,18,27,36,54,81,108,162,324
Factors of 4513
List of positive integer factors of 4513 that divides 4513 without a remainder.
1,4513
Greatest Common Factor
We found the factors 324,4513 . The biggest common factor number is the GCF number.
So the greatest common factor 324,4513 is 1.
Lets's calculate LCM of 436,455
Given numbers has no common factors except 1. So, there LCM is their product i.e 198380
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/198380
Therefore, the GCF of Fractions 324/436,4513/455 is 1/198380
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 436,455 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(436,455) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(436,455) x common factors =1 x 1 = 1
LCM(436,455) = ( 436 × 455 ) / 1
LCM(436,455) = 198380 / 1
LCM(436,455) = 198380
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 324/436, 4513/455?
Answer: GCF of Numerators as per given numbers 324/436, 4513/455 is
GCF of Numerators i.e. for 324,4513 is 1
LCM of denominators i.e. for 436,455 is 198380.
Thus, GCF of Fractions is 1/198380.Finally, GCF of Fractions for 324/436, 4513/455 is 1/198380.