Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 951/89,311/4868
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 951,311
Greatest Common Factor of Numerators i.e. GCF of 951,311 is 1 .
LCM of Denominators means LCM of 89,4868 as per the given fractions.
LCM of 89,4868 is 433252 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 951,311
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 951
List of positive integer factors of 951 that divides 951 without a remainder.
1,3,317,951
Factors of 311
List of positive integer factors of 311 that divides 311 without a remainder.
1,311
Greatest Common Factor
We found the factors 951,311 . The biggest common factor number is the GCF number.
So the greatest common factor 951,311 is 1.
Lets's calculate LCM of 89,4868
Given numbers has no common factors except 1. So, there LCM is their product i.e 433252
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/433252
Therefore, the GCF of Fractions 951/89,311/4868 is 1/433252
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 89,4868 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(89,4868) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(89,4868) x common factors =1 x 1 = 1
LCM(89,4868) = ( 89 × 4868 ) / 1
LCM(89,4868) = 433252 / 1
LCM(89,4868) = 433252
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 951/89, 311/4868?
Answer: GCF of Numerators as per given numbers 951/89, 311/4868 is
GCF of Numerators i.e. for 951,311 is 1
LCM of denominators i.e. for 89,4868 is 433252.
Thus, GCF of Fractions is 1/433252.Finally, GCF of Fractions for 951/89, 311/4868 is 1/433252.