Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 230/451,5313/638
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 230,5313
Greatest Common Factor of Numerators i.e. GCF of 230,5313 is 23 .
LCM of Denominators means LCM of 451,638 as per the given fractions.
LCM of 451,638 is 26158 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 230,5313
23 | 230, 5313 |
10, 231 |
∴ So the GCF of the given numbers is 23 = 23
Factors of 230
List of positive integer factors of 230 that divides 230 without a remainder.
1,2,5,10,23,46,115,230
Factors of 5313
List of positive integer factors of 5313 that divides 5313 without a remainder.
1,3,7,11,21,23,33,69,77,161,231,253,483,759,1771,5313
Greatest Common Factor
We found the factors 230,5313 . The biggest common factor number is the GCF number.
So the greatest common factor 230,5313 is 23.
Lets's calculate LCM of 451,638
11 | 451, 638 |
41, 58 |
∴ So the LCM of the given numbers is 11 x 41 x 58 = 26158
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/26158
Therefore, the GCF of Fractions 230/451,5313/638 is 23/26158
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 451,638 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(451,638) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(451,638) x common factors =11 x 1 = 11
LCM(451,638) = ( 451 × 638 ) / 11
LCM(451,638) = 287738 / 11
LCM(451,638) = 26158
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 230/451, 5313/638?
Answer: GCF of Numerators as per given numbers 230/451, 5313/638 is
GCF of Numerators i.e. for 230,5313 is 23
LCM of denominators i.e. for 451,638 is 26158.
Thus, GCF of Fractions is 23/26158.Finally, GCF of Fractions for 230/451, 5313/638 is 23/26158.