Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 499/20,194/2109
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 499,194
Greatest Common Factor of Numerators i.e. GCF of 499,194 is 1 .
LCM of Denominators means LCM of 20,2109 as per the given fractions.
LCM of 20,2109 is 42180 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 499,194
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 499
List of positive integer factors of 499 that divides 499 without a remainder.
1,499
Factors of 194
List of positive integer factors of 194 that divides 194 without a remainder.
1,2,97,194
Greatest Common Factor
We found the factors 499,194 . The biggest common factor number is the GCF number.
So the greatest common factor 499,194 is 1.
Lets's calculate LCM of 20,2109
Given numbers has no common factors except 1. So, there LCM is their product i.e 42180
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/42180
Therefore, the GCF of Fractions 499/20,194/2109 is 1/42180
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 20,2109 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(20,2109) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(20,2109) x common factors =1 x 1 = 1
LCM(20,2109) = ( 20 × 2109 ) / 1
LCM(20,2109) = 42180 / 1
LCM(20,2109) = 42180
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 499/20, 194/2109?
Answer: GCF of Numerators as per given numbers 499/20, 194/2109 is
GCF of Numerators i.e. for 499,194 is 1
LCM of denominators i.e. for 20,2109 is 42180.
Thus, GCF of Fractions is 1/42180.Finally, GCF of Fractions for 499/20, 194/2109 is 1/42180.