Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1889/364,9194/8111
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 1889,9194
Greatest Common Factor of Numerators i.e. GCF of 1889,9194 is 1 .
LCM of Denominators means LCM of 364,8111 as per the given fractions.
LCM of 364,8111 is 2952404 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1889,9194
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1889
List of positive integer factors of 1889 that divides 1889 without a remainder.
1,1889
Factors of 9194
List of positive integer factors of 9194 that divides 9194 without a remainder.
1,2,4597,9194
Greatest Common Factor
We found the factors 1889,9194 . The biggest common factor number is the GCF number.
So the greatest common factor 1889,9194 is 1.
Lets's calculate LCM of 364,8111
Given numbers has no common factors except 1. So, there LCM is their product i.e 2952404
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2952404
Therefore, the GCF of Fractions 1889/364,9194/8111 is 1/2952404
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 364,8111 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(364,8111) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(364,8111) x common factors =1 x 1 = 1
LCM(364,8111) = ( 364 × 8111 ) / 1
LCM(364,8111) = 2952404 / 1
LCM(364,8111) = 2952404
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 1889/364, 9194/8111?
Answer: GCF of Numerators as per given numbers 1889/364, 9194/8111 is
GCF of Numerators i.e. for 1889,9194 is 1
LCM of denominators i.e. for 364,8111 is 2952404.
Thus, GCF of Fractions is 1/2952404.Finally, GCF of Fractions for 1889/364, 9194/8111 is 1/2952404.