Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 854/906,184/113,305/228
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 854,184,305
Greatest Common Factor of Numerators i.e. GCF of 854,184,305 is 1 .
LCM of Denominators means LCM of 906,113,228 as per the given fractions.
LCM of 906,113,228 is 3890364 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 854,184,305
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 854
List of positive integer factors of 854 that divides 854 without a remainder.
1,2,7,14,61,122,427,854
Factors of 184
List of positive integer factors of 184 that divides 184 without a remainder.
1,2,4,8,23,46,92,184
Factors of 305
List of positive integer factors of 305 that divides 305 without a remainder.
1,5,61,305
Greatest Common Factor
We found the factors 854,184,305 . The biggest common factor number is the GCF number.
So the greatest common factor 854,184,305 is 1.
Lets's calculate LCM of 906,113,228
2 | 906, 113, 228 |
3 | 453, 113, 114 |
151, 113, 38 |
∴ So the LCM of the given numbers is 2 x 3 x 151 x 113 x 38 = 3890364
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3890364
Therefore, the GCF of Fractions 854/906,184/113,305/228 is 1/3890364
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 906,113,228 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(906,113,228) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(906,113,228) x common factors =1 x 6 = 6
LCM(906,113,228) = ( 906 × 113 × 228 ) / 6
LCM(906,113,228) = 23342184 / 6
LCM(906,113,228) = 3890364
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 854/906, 184/113, 305/228?
Answer: GCF of Numerators as per given numbers 854/906, 184/113, 305/228 is
GCF of Numerators i.e. for 854,184,305 is 1
LCM of denominators i.e. for 906,113,228 is 3890364.
Thus, GCF of Fractions is 1/3890364.Finally, GCF of Fractions for 854/906, 184/113, 305/228 is 1/3890364.