Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 993/426,455/559
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 993,455
Greatest Common Factor of Numerators i.e. GCF of 993,455 is 1 .
LCM of Denominators means LCM of 426,559 as per the given fractions.
LCM of 426,559 is 238134 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 993,455
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 993
List of positive integer factors of 993 that divides 993 without a remainder.
1,3,331,993
Factors of 455
List of positive integer factors of 455 that divides 455 without a remainder.
1,5,7,13,35,65,91,455
Greatest Common Factor
We found the factors 993,455 . The biggest common factor number is the GCF number.
So the greatest common factor 993,455 is 1.
Lets's calculate LCM of 426,559
Given numbers has no common factors except 1. So, there LCM is their product i.e 238134
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/238134
Therefore, the GCF of Fractions 993/426,455/559 is 1/238134
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 426,559 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(426,559) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(426,559) x common factors =1 x 1 = 1
LCM(426,559) = ( 426 × 559 ) / 1
LCM(426,559) = 238134 / 1
LCM(426,559) = 238134
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 993/426, 455/559?
Answer: GCF of Numerators as per given numbers 993/426, 455/559 is
GCF of Numerators i.e. for 993,455 is 1
LCM of denominators i.e. for 426,559 is 238134.
Thus, GCF of Fractions is 1/238134.Finally, GCF of Fractions for 993/426, 455/559 is 1/238134.