Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 149/354,8252/2161
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 149,8252
Greatest Common Factor of Numerators i.e. GCF of 149,8252 is 1 .
LCM of Denominators means LCM of 354,2161 as per the given fractions.
LCM of 354,2161 is 764994 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 149,8252
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 149
List of positive integer factors of 149 that divides 149 without a remainder.
1,149
Factors of 8252
List of positive integer factors of 8252 that divides 8252 without a remainder.
1,2,4,2063,4126,8252
Greatest Common Factor
We found the factors 149,8252 . The biggest common factor number is the GCF number.
So the greatest common factor 149,8252 is 1.
Lets's calculate LCM of 354,2161
Given numbers has no common factors except 1. So, there LCM is their product i.e 764994
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/764994
Therefore, the GCF of Fractions 149/354,8252/2161 is 1/764994
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 354,2161 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(354,2161) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(354,2161) x common factors =1 x 1 = 1
LCM(354,2161) = ( 354 × 2161 ) / 1
LCM(354,2161) = 764994 / 1
LCM(354,2161) = 764994
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 149/354, 8252/2161?
Answer: GCF of Numerators as per given numbers 149/354, 8252/2161 is
GCF of Numerators i.e. for 149,8252 is 1
LCM of denominators i.e. for 354,2161 is 764994.
Thus, GCF of Fractions is 1/764994.Finally, GCF of Fractions for 149/354, 8252/2161 is 1/764994.