Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 319/43,408/40,813/228
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 319,408,813
Greatest Common Factor of Numerators i.e. GCF of 319,408,813 is 1 .
LCM of Denominators means LCM of 43,40,228 as per the given fractions.
LCM of 43,40,228 is 98040 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 319,408,813
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 319
List of positive integer factors of 319 that divides 319 without a remainder.
1,11,29,319
Factors of 408
List of positive integer factors of 408 that divides 408 without a remainder.
1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,408
Factors of 813
List of positive integer factors of 813 that divides 813 without a remainder.
1,3,271,813
Greatest Common Factor
We found the factors 319,408,813 . The biggest common factor number is the GCF number.
So the greatest common factor 319,408,813 is 1.
Lets's calculate LCM of 43,40,228
2 | 43, 40, 228 |
2 | 43, 20, 114 |
43, 10, 57 |
∴ So the LCM of the given numbers is 2 x 2 x 43 x 10 x 57 = 98040
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/98040
Therefore, the GCF of Fractions 319/43,408/40,813/228 is 1/98040
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 43,40,228 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(43,40,228) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(43,40,228) x common factors =1 x 4 = 4
LCM(43,40,228) = ( 43 × 40 × 228 ) / 4
LCM(43,40,228) = 392160 / 4
LCM(43,40,228) = 98040
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 319/43, 408/40, 813/228?
Answer: GCF of Numerators as per given numbers 319/43, 408/40, 813/228 is
GCF of Numerators i.e. for 319,408,813 is 1
LCM of denominators i.e. for 43,40,228 is 98040.
Thus, GCF of Fractions is 1/98040.Finally, GCF of Fractions for 319/43, 408/40, 813/228 is 1/98040.