Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 118/309,405/200
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 118,405
Greatest Common Factor of Numerators i.e. GCF of 118,405 is 1 .
LCM of Denominators means LCM of 309,200 as per the given fractions.
LCM of 309,200 is 61800 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 118,405
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 118
List of positive integer factors of 118 that divides 118 without a remainder.
1,2,59,118
Factors of 405
List of positive integer factors of 405 that divides 405 without a remainder.
1,3,5,9,15,27,45,81,135,405
Greatest Common Factor
We found the factors 118,405 . The biggest common factor number is the GCF number.
So the greatest common factor 118,405 is 1.
Lets's calculate LCM of 309,200
Given numbers has no common factors except 1. So, there LCM is their product i.e 61800
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/61800
Therefore, the GCF of Fractions 118/309,405/200 is 1/61800
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 309,200 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(309,200) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(309,200) x common factors =1 x 1 = 1
LCM(309,200) = ( 309 × 200 ) / 1
LCM(309,200) = 61800 / 1
LCM(309,200) = 61800
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 118/309, 405/200?
Answer: GCF of Numerators as per given numbers 118/309, 405/200 is
GCF of Numerators i.e. for 118,405 is 1
LCM of denominators i.e. for 309,200 is 61800.
Thus, GCF of Fractions is 1/61800.Finally, GCF of Fractions for 118/309, 405/200 is 1/61800.