Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 931/41,3168/811
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 931,3168
Greatest Common Factor of Numerators i.e. GCF of 931,3168 is 1 .
LCM of Denominators means LCM of 41,811 as per the given fractions.
LCM of 41,811 is 33251 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 931,3168
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 931
List of positive integer factors of 931 that divides 931 without a remainder.
1,7,19,49,133,931
Factors of 3168
List of positive integer factors of 3168 that divides 3168 without a remainder.
1,2,3,4,6,8,9,11,12,16,18,22,24,32,33,36,44,48,66,72,88,96,99,132,144,176,198,264,288,352,396,528,792,1056,1584,3168
Greatest Common Factor
We found the factors 931,3168 . The biggest common factor number is the GCF number.
So the greatest common factor 931,3168 is 1.
Lets's calculate LCM of 41,811
Given numbers has no common factors except 1. So, there LCM is their product i.e 33251
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/33251
Therefore, the GCF of Fractions 931/41,3168/811 is 1/33251
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 41,811 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(41,811) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(41,811) x common factors =1 x 1 = 1
LCM(41,811) = ( 41 × 811 ) / 1
LCM(41,811) = 33251 / 1
LCM(41,811) = 33251
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 931/41, 3168/811?
Answer: GCF of Numerators as per given numbers 931/41, 3168/811 is
GCF of Numerators i.e. for 931,3168 is 1
LCM of denominators i.e. for 41,811 is 33251.
Thus, GCF of Fractions is 1/33251.Finally, GCF of Fractions for 931/41, 3168/811 is 1/33251.