Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 135/833,671/571,415/146
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 135,671,415
Greatest Common Factor of Numerators i.e. GCF of 135,671,415 is 1 .
LCM of Denominators means LCM of 833,571,146 as per the given fractions.
LCM of 833,571,146 is 69443878 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 135,671,415
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 135
List of positive integer factors of 135 that divides 135 without a remainder.
1,3,5,9,15,27,45,135
Factors of 671
List of positive integer factors of 671 that divides 671 without a remainder.
1,11,61,671
Factors of 415
List of positive integer factors of 415 that divides 415 without a remainder.
1,5,83,415
Greatest Common Factor
We found the factors 135,671,415 . The biggest common factor number is the GCF number.
So the greatest common factor 135,671,415 is 1.
Lets's calculate LCM of 833,571,146
Given numbers has no common factors except 1. So, there LCM is their product i.e 69443878
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/69443878
Therefore, the GCF of Fractions 135/833,671/571,415/146 is 1/69443878
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 833,571,146 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(833,571,146) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(833,571,146) x common factors =1 x 1 = 1
LCM(833,571,146) = ( 833 × 571 × 146 ) / 1
LCM(833,571,146) = 69443878 / 1
LCM(833,571,146) = 69443878
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 135/833, 671/571, 415/146?
Answer: GCF of Numerators as per given numbers 135/833, 671/571, 415/146 is
GCF of Numerators i.e. for 135,671,415 is 1
LCM of denominators i.e. for 833,571,146 is 69443878.
Thus, GCF of Fractions is 1/69443878.Finally, GCF of Fractions for 135/833, 671/571, 415/146 is 1/69443878.