Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 668/39,334/56,815/38
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 668,334,815
Greatest Common Factor of Numerators i.e. GCF of 668,334,815 is 1 .
LCM of Denominators means LCM of 39,56,38 as per the given fractions.
LCM of 39,56,38 is 41496 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 668,334,815
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 668
List of positive integer factors of 668 that divides 668 without a remainder.
1,2,4,167,334,668
Factors of 334
List of positive integer factors of 334 that divides 334 without a remainder.
1,2,167,334
Factors of 815
List of positive integer factors of 815 that divides 815 without a remainder.
1,5,163,815
Greatest Common Factor
We found the factors 668,334,815 . The biggest common factor number is the GCF number.
So the greatest common factor 668,334,815 is 1.
Lets's calculate LCM of 39,56,38
2 | 39, 56, 38 |
39, 28, 19 |
∴ So the LCM of the given numbers is 2 x 39 x 28 x 19 = 41496
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/41496
Therefore, the GCF of Fractions 668/39,334/56,815/38 is 1/41496
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 39,56,38 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(39,56,38) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(39,56,38) x common factors =1 x 2 = 2
LCM(39,56,38) = ( 39 × 56 × 38 ) / 2
LCM(39,56,38) = 82992 / 2
LCM(39,56,38) = 41496
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 668/39, 334/56, 815/38?
Answer: GCF of Numerators as per given numbers 668/39, 334/56, 815/38 is
GCF of Numerators i.e. for 668,334,815 is 1
LCM of denominators i.e. for 39,56,38 is 41496.
Thus, GCF of Fractions is 1/41496.Finally, GCF of Fractions for 668/39, 334/56, 815/38 is 1/41496.