Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 346/53,415/99,134/18
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 346,415,134
Greatest Common Factor of Numerators i.e. GCF of 346,415,134 is 1 .
LCM of Denominators means LCM of 53,99,18 as per the given fractions.
LCM of 53,99,18 is 10494 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 346,415,134
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 346
List of positive integer factors of 346 that divides 346 without a remainder.
1,2,173,346
Factors of 415
List of positive integer factors of 415 that divides 415 without a remainder.
1,5,83,415
Factors of 134
List of positive integer factors of 134 that divides 134 without a remainder.
1,2,67,134
Greatest Common Factor
We found the factors 346,415,134 . The biggest common factor number is the GCF number.
So the greatest common factor 346,415,134 is 1.
Lets's calculate LCM of 53,99,18
3 | 53, 99, 18 |
3 | 53, 33, 6 |
53, 11, 2 |
∴ So the LCM of the given numbers is 3 x 3 x 53 x 11 x 2 = 10494
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10494
Therefore, the GCF of Fractions 346/53,415/99,134/18 is 1/10494
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 53,99,18 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(53,99,18) = 1
common factors(in case of two or more numbers have common factors) = 9
GCF(53,99,18) x common factors =1 x 9 = 9
LCM(53,99,18) = ( 53 × 99 × 18 ) / 9
LCM(53,99,18) = 94446 / 9
LCM(53,99,18) = 10494
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 346/53, 415/99, 134/18?
Answer: GCF of Numerators as per given numbers 346/53, 415/99, 134/18 is
GCF of Numerators i.e. for 346,415,134 is 1
LCM of denominators i.e. for 53,99,18 is 10494.
Thus, GCF of Fractions is 1/10494.Finally, GCF of Fractions for 346/53, 415/99, 134/18 is 1/10494.