Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 386/34,745/95,556/227
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 386,745,556
Greatest Common Factor of Numerators i.e. GCF of 386,745,556 is 1 .
LCM of Denominators means LCM of 34,95,227 as per the given fractions.
LCM of 34,95,227 is 733210 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 386,745,556
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 386
List of positive integer factors of 386 that divides 386 without a remainder.
1,2,193,386
Factors of 745
List of positive integer factors of 745 that divides 745 without a remainder.
1,5,149,745
Factors of 556
List of positive integer factors of 556 that divides 556 without a remainder.
1,2,4,139,278,556
Greatest Common Factor
We found the factors 386,745,556 . The biggest common factor number is the GCF number.
So the greatest common factor 386,745,556 is 1.
Lets's calculate LCM of 34,95,227
Given numbers has no common factors except 1. So, there LCM is their product i.e 733210
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/733210
Therefore, the GCF of Fractions 386/34,745/95,556/227 is 1/733210
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 34,95,227 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(34,95,227) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(34,95,227) x common factors =1 x 1 = 1
LCM(34,95,227) = ( 34 × 95 × 227 ) / 1
LCM(34,95,227) = 733210 / 1
LCM(34,95,227) = 733210
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 386/34, 745/95, 556/227?
Answer: GCF of Numerators as per given numbers 386/34, 745/95, 556/227 is
GCF of Numerators i.e. for 386,745,556 is 1
LCM of denominators i.e. for 34,95,227 is 733210.
Thus, GCF of Fractions is 1/733210.Finally, GCF of Fractions for 386/34, 745/95, 556/227 is 1/733210.