Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 303/919,196/155,423/227
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 303,196,423
Greatest Common Factor of Numerators i.e. GCF of 303,196,423 is 1 .
LCM of Denominators means LCM of 919,155,227 as per the given fractions.
LCM of 919,155,227 is 32335015 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 303,196,423
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 303
List of positive integer factors of 303 that divides 303 without a remainder.
1,3,101,303
Factors of 196
List of positive integer factors of 196 that divides 196 without a remainder.
1,2,4,7,14,28,49,98,196
Factors of 423
List of positive integer factors of 423 that divides 423 without a remainder.
1,3,9,47,141,423
Greatest Common Factor
We found the factors 303,196,423 . The biggest common factor number is the GCF number.
So the greatest common factor 303,196,423 is 1.
Lets's calculate LCM of 919,155,227
Given numbers has no common factors except 1. So, there LCM is their product i.e 32335015
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/32335015
Therefore, the GCF of Fractions 303/919,196/155,423/227 is 1/32335015
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 919,155,227 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(919,155,227) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(919,155,227) x common factors =1 x 1 = 1
LCM(919,155,227) = ( 919 × 155 × 227 ) / 1
LCM(919,155,227) = 32335015 / 1
LCM(919,155,227) = 32335015
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 303/919, 196/155, 423/227?
Answer: GCF of Numerators as per given numbers 303/919, 196/155, 423/227 is
GCF of Numerators i.e. for 303,196,423 is 1
LCM of denominators i.e. for 919,155,227 is 32335015.
Thus, GCF of Fractions is 1/32335015.Finally, GCF of Fractions for 303/919, 196/155, 423/227 is 1/32335015.