Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 541/47,199/3365
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 541,199
Greatest Common Factor of Numerators i.e. GCF of 541,199 is 1 .
LCM of Denominators means LCM of 47,3365 as per the given fractions.
LCM of 47,3365 is 158155 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 541,199
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 541
List of positive integer factors of 541 that divides 541 without a remainder.
1,541
Factors of 199
List of positive integer factors of 199 that divides 199 without a remainder.
1,199
Greatest Common Factor
We found the factors 541,199 . The biggest common factor number is the GCF number.
So the greatest common factor 541,199 is 1.
Lets's calculate LCM of 47,3365
Given numbers has no common factors except 1. So, there LCM is their product i.e 158155
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/158155
Therefore, the GCF of Fractions 541/47,199/3365 is 1/158155
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 47,3365 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(47,3365) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(47,3365) x common factors =1 x 1 = 1
LCM(47,3365) = ( 47 × 3365 ) / 1
LCM(47,3365) = 158155 / 1
LCM(47,3365) = 158155
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 541/47, 199/3365?
Answer: GCF of Numerators as per given numbers 541/47, 199/3365 is
GCF of Numerators i.e. for 541,199 is 1
LCM of denominators i.e. for 47,3365 is 158155.
Thus, GCF of Fractions is 1/158155.Finally, GCF of Fractions for 541/47, 199/3365 is 1/158155.