Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 913/462,231/394,159/869
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 913,231,159
Greatest Common Factor of Numerators i.e. GCF of 913,231,159 is 1 .
LCM of Denominators means LCM of 462,394,869 as per the given fractions.
LCM of 462,394,869 is 7190106 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 913,231,159
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 913
List of positive integer factors of 913 that divides 913 without a remainder.
1,11,83,913
Factors of 231
List of positive integer factors of 231 that divides 231 without a remainder.
1,3,7,11,21,33,77,231
Factors of 159
List of positive integer factors of 159 that divides 159 without a remainder.
1,3,53,159
Greatest Common Factor
We found the factors 913,231,159 . The biggest common factor number is the GCF number.
So the greatest common factor 913,231,159 is 1.
Lets's calculate LCM of 462,394,869
2 | 462, 394, 869 |
11 | 231, 197, 869 |
21, 197, 79 |
∴ So the LCM of the given numbers is 2 x 11 x 21 x 197 x 79 = 7190106
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7190106
Therefore, the GCF of Fractions 913/462,231/394,159/869 is 1/7190106
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 462,394,869 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(462,394,869) = 1
common factors(in case of two or more numbers have common factors) = 22
GCF(462,394,869) x common factors =1 x 22 = 22
LCM(462,394,869) = ( 462 × 394 × 869 ) / 22
LCM(462,394,869) = 158182332 / 22
LCM(462,394,869) = 7190106
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 913/462, 231/394, 159/869?
Answer: GCF of Numerators as per given numbers 913/462, 231/394, 159/869 is
GCF of Numerators i.e. for 913,231,159 is 1
LCM of denominators i.e. for 462,394,869 is 7190106.
Thus, GCF of Fractions is 1/7190106.Finally, GCF of Fractions for 913/462, 231/394, 159/869 is 1/7190106.