Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 40/815,73/656,568/138
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 40,73,568
Greatest Common Factor of Numerators i.e. GCF of 40,73,568 is 1 .
LCM of Denominators means LCM of 815,656,138 as per the given fractions.
LCM of 815,656,138 is 36890160 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 40,73,568
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 40
List of positive integer factors of 40 that divides 40 without a remainder.
1,2,4,5,8,10,20,40
Factors of 73
List of positive integer factors of 73 that divides 73 without a remainder.
1,73
Factors of 568
List of positive integer factors of 568 that divides 568 without a remainder.
1,2,4,8,71,142,284,568
Greatest Common Factor
We found the factors 40,73,568 . The biggest common factor number is the GCF number.
So the greatest common factor 40,73,568 is 1.
Lets's calculate LCM of 815,656,138
2 | 815, 656, 138 |
815, 328, 69 |
∴ So the LCM of the given numbers is 2 x 815 x 328 x 69 = 36890160
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/36890160
Therefore, the GCF of Fractions 40/815,73/656,568/138 is 1/36890160
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 815,656,138 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(815,656,138) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(815,656,138) x common factors =1 x 2 = 2
LCM(815,656,138) = ( 815 × 656 × 138 ) / 2
LCM(815,656,138) = 73780320 / 2
LCM(815,656,138) = 36890160
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 40/815, 73/656, 568/138?
Answer: GCF of Numerators as per given numbers 40/815, 73/656, 568/138 is
GCF of Numerators i.e. for 40,73,568 is 1
LCM of denominators i.e. for 815,656,138 is 36890160.
Thus, GCF of Fractions is 1/36890160.Finally, GCF of Fractions for 40/815, 73/656, 568/138 is 1/36890160.