Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 181/894,181/335
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 181,181
Greatest Common Factor of Numerators i.e. GCF of 181,181 is 181 .
LCM of Denominators means LCM of 894,335 as per the given fractions.
LCM of 894,335 is 299490 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 181,181
181 | 181, 181 |
1, 1 |
∴ So the GCF of the given numbers is 181 = 181
Factors of 181
List of positive integer factors of 181 that divides 181 without a remainder.
1,181
Factors of 181
List of positive integer factors of 181 that divides 181 without a remainder.
1,181
Greatest Common Factor
We found the factors 181,181 . The biggest common factor number is the GCF number.
So the greatest common factor 181,181 is 181.
Lets's calculate LCM of 894,335
Given numbers has no common factors except 1. So, there LCM is their product i.e 299490
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 181/299490
Therefore, the GCF of Fractions 181/894,181/335 is 181/299490
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 894,335 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(894,335) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(894,335) x common factors =1 x 1 = 1
LCM(894,335) = ( 894 × 335 ) / 1
LCM(894,335) = 299490 / 1
LCM(894,335) = 299490
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 181/894, 181/335?
Answer: GCF of Numerators as per given numbers 181/894, 181/335 is
GCF of Numerators i.e. for 181,181 is 181
LCM of denominators i.e. for 894,335 is 299490.
Thus, GCF of Fractions is 181/299490.Finally, GCF of Fractions for 181/894, 181/335 is 181/299490.