Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 355/193,5229/143
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 355,5229
Greatest Common Factor of Numerators i.e. GCF of 355,5229 is 1 .
LCM of Denominators means LCM of 193,143 as per the given fractions.
LCM of 193,143 is 27599 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 355,5229
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 355
List of positive integer factors of 355 that divides 355 without a remainder.
1,5,71,355
Factors of 5229
List of positive integer factors of 5229 that divides 5229 without a remainder.
1,3,7,9,21,63,83,249,581,747,1743,5229
Greatest Common Factor
We found the factors 355,5229 . The biggest common factor number is the GCF number.
So the greatest common factor 355,5229 is 1.
Lets's calculate LCM of 193,143
Given numbers has no common factors except 1. So, there LCM is their product i.e 27599
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/27599
Therefore, the GCF of Fractions 355/193,5229/143 is 1/27599
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 193,143 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(193,143) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(193,143) x common factors =1 x 1 = 1
LCM(193,143) = ( 193 × 143 ) / 1
LCM(193,143) = 27599 / 1
LCM(193,143) = 27599
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 355/193, 5229/143?
Answer: GCF of Numerators as per given numbers 355/193, 5229/143 is
GCF of Numerators i.e. for 355,5229 is 1
LCM of denominators i.e. for 193,143 is 27599.
Thus, GCF of Fractions is 1/27599.Finally, GCF of Fractions for 355/193, 5229/143 is 1/27599.