Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 40/29,324/64,451/917
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 40,324,451
Greatest Common Factor of Numerators i.e. GCF of 40,324,451 is 1 .
LCM of Denominators means LCM of 29,64,917 as per the given fractions.
LCM of 29,64,917 is 1701952 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 40,324,451
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 40
List of positive integer factors of 40 that divides 40 without a remainder.
1,2,4,5,8,10,20,40
Factors of 324
List of positive integer factors of 324 that divides 324 without a remainder.
1,2,3,4,6,9,12,18,27,36,54,81,108,162,324
Factors of 451
List of positive integer factors of 451 that divides 451 without a remainder.
1,11,41,451
Greatest Common Factor
We found the factors 40,324,451 . The biggest common factor number is the GCF number.
So the greatest common factor 40,324,451 is 1.
Lets's calculate LCM of 29,64,917
Given numbers has no common factors except 1. So, there LCM is their product i.e 1701952
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1701952
Therefore, the GCF of Fractions 40/29,324/64,451/917 is 1/1701952
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 29,64,917 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(29,64,917) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(29,64,917) x common factors =1 x 1 = 1
LCM(29,64,917) = ( 29 × 64 × 917 ) / 1
LCM(29,64,917) = 1701952 / 1
LCM(29,64,917) = 1701952
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 40/29, 324/64, 451/917?
Answer: GCF of Numerators as per given numbers 40/29, 324/64, 451/917 is
GCF of Numerators i.e. for 40,324,451 is 1
LCM of denominators i.e. for 29,64,917 is 1701952.
Thus, GCF of Fractions is 1/1701952.Finally, GCF of Fractions for 40/29, 324/64, 451/917 is 1/1701952.