Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8162/205,9461/652
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 8162,9461
Greatest Common Factor of Numerators i.e. GCF of 8162,9461 is 1 .
LCM of Denominators means LCM of 205,652 as per the given fractions.
LCM of 205,652 is 133660 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8162,9461
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8162
List of positive integer factors of 8162 that divides 8162 without a remainder.
1,2,7,11,14,22,53,77,106,154,371,583,742,1166,4081,8162
Factors of 9461
List of positive integer factors of 9461 that divides 9461 without a remainder.
1,9461
Greatest Common Factor
We found the factors 8162,9461 . The biggest common factor number is the GCF number.
So the greatest common factor 8162,9461 is 1.
Lets's calculate LCM of 205,652
Given numbers has no common factors except 1. So, there LCM is their product i.e 133660
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/133660
Therefore, the GCF of Fractions 8162/205,9461/652 is 1/133660
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 205,652 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(205,652) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(205,652) x common factors =1 x 1 = 1
LCM(205,652) = ( 205 × 652 ) / 1
LCM(205,652) = 133660 / 1
LCM(205,652) = 133660
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 8162/205, 9461/652?
Answer: GCF of Numerators as per given numbers 8162/205, 9461/652 is
GCF of Numerators i.e. for 8162,9461 is 1
LCM of denominators i.e. for 205,652 is 133660.
Thus, GCF of Fractions is 1/133660.Finally, GCF of Fractions for 8162/205, 9461/652 is 1/133660.