Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 95/303,63/188,344/809
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 95,63,344
Greatest Common Factor of Numerators i.e. GCF of 95,63,344 is 1 .
LCM of Denominators means LCM of 303,188,809 as per the given fractions.
LCM of 303,188,809 is 46083876 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 95,63,344
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 95
List of positive integer factors of 95 that divides 95 without a remainder.
1,5,19,95
Factors of 63
List of positive integer factors of 63 that divides 63 without a remainder.
1,3,7,9,21,63
Factors of 344
List of positive integer factors of 344 that divides 344 without a remainder.
1,2,4,8,43,86,172,344
Greatest Common Factor
We found the factors 95,63,344 . The biggest common factor number is the GCF number.
So the greatest common factor 95,63,344 is 1.
Lets's calculate LCM of 303,188,809
Given numbers has no common factors except 1. So, there LCM is their product i.e 46083876
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/46083876
Therefore, the GCF of Fractions 95/303,63/188,344/809 is 1/46083876
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 303,188,809 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(303,188,809) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(303,188,809) x common factors =1 x 1 = 1
LCM(303,188,809) = ( 303 × 188 × 809 ) / 1
LCM(303,188,809) = 46083876 / 1
LCM(303,188,809) = 46083876
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 95/303, 63/188, 344/809?
Answer: GCF of Numerators as per given numbers 95/303, 63/188, 344/809 is
GCF of Numerators i.e. for 95,63,344 is 1
LCM of denominators i.e. for 303,188,809 is 46083876.
Thus, GCF of Fractions is 1/46083876.Finally, GCF of Fractions for 95/303, 63/188, 344/809 is 1/46083876.