Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 11/933,279/433
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 11,279
Greatest Common Factor of Numerators i.e. GCF of 11,279 is 1 .
LCM of Denominators means LCM of 933,433 as per the given fractions.
LCM of 933,433 is 403989 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 11,279
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 11
List of positive integer factors of 11 that divides 11 without a remainder.
1,11
Factors of 279
List of positive integer factors of 279 that divides 279 without a remainder.
1,3,9,31,93,279
Greatest Common Factor
We found the factors 11,279 . The biggest common factor number is the GCF number.
So the greatest common factor 11,279 is 1.
Lets's calculate LCM of 933,433
Given numbers has no common factors except 1. So, there LCM is their product i.e 403989
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/403989
Therefore, the GCF of Fractions 11/933,279/433 is 1/403989
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 933,433 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(933,433) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(933,433) x common factors =1 x 1 = 1
LCM(933,433) = ( 933 × 433 ) / 1
LCM(933,433) = 403989 / 1
LCM(933,433) = 403989
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 11/933, 279/433?
Answer: GCF of Numerators as per given numbers 11/933, 279/433 is
GCF of Numerators i.e. for 11,279 is 1
LCM of denominators i.e. for 933,433 is 403989.
Thus, GCF of Fractions is 1/403989.Finally, GCF of Fractions for 11/933, 279/433 is 1/403989.