Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8951/979,8065/149
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 8951,8065
Greatest Common Factor of Numerators i.e. GCF of 8951,8065 is 1 .
LCM of Denominators means LCM of 979,149 as per the given fractions.
LCM of 979,149 is 145871 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8951,8065
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8951
List of positive integer factors of 8951 that divides 8951 without a remainder.
1,8951
Factors of 8065
List of positive integer factors of 8065 that divides 8065 without a remainder.
1,5,1613,8065
Greatest Common Factor
We found the factors 8951,8065 . The biggest common factor number is the GCF number.
So the greatest common factor 8951,8065 is 1.
Lets's calculate LCM of 979,149
Given numbers has no common factors except 1. So, there LCM is their product i.e 145871
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/145871
Therefore, the GCF of Fractions 8951/979,8065/149 is 1/145871
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 979,149 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(979,149) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(979,149) x common factors =1 x 1 = 1
LCM(979,149) = ( 979 × 149 ) / 1
LCM(979,149) = 145871 / 1
LCM(979,149) = 145871
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 8951/979, 8065/149?
Answer: GCF of Numerators as per given numbers 8951/979, 8065/149 is
GCF of Numerators i.e. for 8951,8065 is 1
LCM of denominators i.e. for 979,149 is 145871.
Thus, GCF of Fractions is 1/145871.Finally, GCF of Fractions for 8951/979, 8065/149 is 1/145871.