Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 119/11,309/1105
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 119,309
Greatest Common Factor of Numerators i.e. GCF of 119,309 is 1 .
LCM of Denominators means LCM of 11,1105 as per the given fractions.
LCM of 11,1105 is 12155 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 119,309
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 119
List of positive integer factors of 119 that divides 119 without a remainder.
1,7,17,119
Factors of 309
List of positive integer factors of 309 that divides 309 without a remainder.
1,3,103,309
Greatest Common Factor
We found the factors 119,309 . The biggest common factor number is the GCF number.
So the greatest common factor 119,309 is 1.
Lets's calculate LCM of 11,1105
Given numbers has no common factors except 1. So, there LCM is their product i.e 12155
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12155
Therefore, the GCF of Fractions 119/11,309/1105 is 1/12155
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 11,1105 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(11,1105) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(11,1105) x common factors =1 x 1 = 1
LCM(11,1105) = ( 11 × 1105 ) / 1
LCM(11,1105) = 12155 / 1
LCM(11,1105) = 12155
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 119/11, 309/1105?
Answer: GCF of Numerators as per given numbers 119/11, 309/1105 is
GCF of Numerators i.e. for 119,309 is 1
LCM of denominators i.e. for 11,1105 is 12155.
Thus, GCF of Fractions is 1/12155.Finally, GCF of Fractions for 119/11, 309/1105 is 1/12155.