Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 305/29,537/99,830/45
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 305,537,830
Greatest Common Factor of Numerators i.e. GCF of 305,537,830 is 1 .
LCM of Denominators means LCM of 29,99,45 as per the given fractions.
LCM of 29,99,45 is 14355 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 305,537,830
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 305
List of positive integer factors of 305 that divides 305 without a remainder.
1,5,61,305
Factors of 537
List of positive integer factors of 537 that divides 537 without a remainder.
1,3,179,537
Factors of 830
List of positive integer factors of 830 that divides 830 without a remainder.
1,2,5,10,83,166,415,830
Greatest Common Factor
We found the factors 305,537,830 . The biggest common factor number is the GCF number.
So the greatest common factor 305,537,830 is 1.
Lets's calculate LCM of 29,99,45
3 | 29, 99, 45 |
3 | 29, 33, 15 |
29, 11, 5 |
∴ So the LCM of the given numbers is 3 x 3 x 29 x 11 x 5 = 14355
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14355
Therefore, the GCF of Fractions 305/29,537/99,830/45 is 1/14355
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 29,99,45 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(29,99,45) = 1
common factors(in case of two or more numbers have common factors) = 9
GCF(29,99,45) x common factors =1 x 9 = 9
LCM(29,99,45) = ( 29 × 99 × 45 ) / 9
LCM(29,99,45) = 129195 / 9
LCM(29,99,45) = 14355
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 305/29, 537/99, 830/45?
Answer: GCF of Numerators as per given numbers 305/29, 537/99, 830/45 is
GCF of Numerators i.e. for 305,537,830 is 1
LCM of denominators i.e. for 29,99,45 is 14355.
Thus, GCF of Fractions is 1/14355.Finally, GCF of Fractions for 305/29, 537/99, 830/45 is 1/14355.