Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 42/205,872/115,699/230
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 42,872,699
Greatest Common Factor of Numerators i.e. GCF of 42,872,699 is 1 .
LCM of Denominators means LCM of 205,115,230 as per the given fractions.
LCM of 205,115,230 is 9430 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 42,872,699
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 42
List of positive integer factors of 42 that divides 42 without a remainder.
1,2,3,6,7,14,21,42
Factors of 872
List of positive integer factors of 872 that divides 872 without a remainder.
1,2,4,8,109,218,436,872
Factors of 699
List of positive integer factors of 699 that divides 699 without a remainder.
1,3,233,699
Greatest Common Factor
We found the factors 42,872,699 . The biggest common factor number is the GCF number.
So the greatest common factor 42,872,699 is 1.
Lets's calculate LCM of 205,115,230
5 | 205, 115, 230 |
23 | 41, 23, 46 |
41, 1, 2 |
∴ So the LCM of the given numbers is 5 x 23 x 41 x 1 x 2 = 9430
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9430
Therefore, the GCF of Fractions 42/205,872/115,699/230 is 1/9430
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 205,115,230 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(205,115,230) = 5
common factors(in case of two or more numbers have common factors) = 115
GCF(205,115,230) x common factors =5 x 115 = 575
LCM(205,115,230) = ( 205 × 115 × 230 ) / 575
LCM(205,115,230) = 5422250 / 575
LCM(205,115,230) = 9430
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 42/205, 872/115, 699/230?
Answer: GCF of Numerators as per given numbers 42/205, 872/115, 699/230 is
GCF of Numerators i.e. for 42,872,699 is 1
LCM of denominators i.e. for 205,115,230 is 9430.
Thus, GCF of Fractions is 1/9430.Finally, GCF of Fractions for 42/205, 872/115, 699/230 is 1/9430.