Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 31/43,13/12,968/797
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 31,13,968
Greatest Common Factor of Numerators i.e. GCF of 31,13,968 is 1 .
LCM of Denominators means LCM of 43,12,797 as per the given fractions.
LCM of 43,12,797 is 411252 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 31,13,968
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 31
List of positive integer factors of 31 that divides 31 without a remainder.
1,31
Factors of 13
List of positive integer factors of 13 that divides 13 without a remainder.
1,13
Factors of 968
List of positive integer factors of 968 that divides 968 without a remainder.
1,2,4,8,11,22,44,88,121,242,484,968
Greatest Common Factor
We found the factors 31,13,968 . The biggest common factor number is the GCF number.
So the greatest common factor 31,13,968 is 1.
Lets's calculate LCM of 43,12,797
Given numbers has no common factors except 1. So, there LCM is their product i.e 411252
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/411252
Therefore, the GCF of Fractions 31/43,13/12,968/797 is 1/411252
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 43,12,797 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(43,12,797) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(43,12,797) x common factors =1 x 1 = 1
LCM(43,12,797) = ( 43 × 12 × 797 ) / 1
LCM(43,12,797) = 411252 / 1
LCM(43,12,797) = 411252
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 31/43, 13/12, 968/797?
Answer: GCF of Numerators as per given numbers 31/43, 13/12, 968/797 is
GCF of Numerators i.e. for 31,13,968 is 1
LCM of denominators i.e. for 43,12,797 is 411252.
Thus, GCF of Fractions is 1/411252.Finally, GCF of Fractions for 31/43, 13/12, 968/797 is 1/411252.