Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 398/19,702/95,305/17
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 398,702,305
Greatest Common Factor of Numerators i.e. GCF of 398,702,305 is 1 .
LCM of Denominators means LCM of 19,95,17 as per the given fractions.
LCM of 19,95,17 is 1615 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 398,702,305
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 398
List of positive integer factors of 398 that divides 398 without a remainder.
1,2,199,398
Factors of 702
List of positive integer factors of 702 that divides 702 without a remainder.
1,2,3,6,9,13,18,26,27,39,54,78,117,234,351,702
Factors of 305
List of positive integer factors of 305 that divides 305 without a remainder.
1,5,61,305
Greatest Common Factor
We found the factors 398,702,305 . The biggest common factor number is the GCF number.
So the greatest common factor 398,702,305 is 1.
Lets's calculate LCM of 19,95,17
19 | 19, 95, 17 |
1, 5, 17 |
∴ So the LCM of the given numbers is 19 x 1 x 5 x 17 = 1615
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1615
Therefore, the GCF of Fractions 398/19,702/95,305/17 is 1/1615
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 19,95,17 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(19,95,17) = 1
common factors(in case of two or more numbers have common factors) = 19
GCF(19,95,17) x common factors =1 x 19 = 19
LCM(19,95,17) = ( 19 × 95 × 17 ) / 19
LCM(19,95,17) = 30685 / 19
LCM(19,95,17) = 1615
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 398/19, 702/95, 305/17?
Answer: GCF of Numerators as per given numbers 398/19, 702/95, 305/17 is
GCF of Numerators i.e. for 398,702,305 is 1
LCM of denominators i.e. for 19,95,17 is 1615.
Thus, GCF of Fractions is 1/1615.Finally, GCF of Fractions for 398/19, 702/95, 305/17 is 1/1615.