Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 886/27,728/82,793/125
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 886,728,793
Greatest Common Factor of Numerators i.e. GCF of 886,728,793 is 1 .
LCM of Denominators means LCM of 27,82,125 as per the given fractions.
LCM of 27,82,125 is 276750 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 886,728,793
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 886
List of positive integer factors of 886 that divides 886 without a remainder.
1,2,443,886
Factors of 728
List of positive integer factors of 728 that divides 728 without a remainder.
1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728
Factors of 793
List of positive integer factors of 793 that divides 793 without a remainder.
1,13,61,793
Greatest Common Factor
We found the factors 886,728,793 . The biggest common factor number is the GCF number.
So the greatest common factor 886,728,793 is 1.
Lets's calculate LCM of 27,82,125
Given numbers has no common factors except 1. So, there LCM is their product i.e 276750
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/276750
Therefore, the GCF of Fractions 886/27,728/82,793/125 is 1/276750
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 27,82,125 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(27,82,125) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(27,82,125) x common factors =1 x 1 = 1
LCM(27,82,125) = ( 27 × 82 × 125 ) / 1
LCM(27,82,125) = 276750 / 1
LCM(27,82,125) = 276750
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 886/27, 728/82, 793/125?
Answer: GCF of Numerators as per given numbers 886/27, 728/82, 793/125 is
GCF of Numerators i.e. for 886,728,793 is 1
LCM of denominators i.e. for 27,82,125 is 276750.
Thus, GCF of Fractions is 1/276750.Finally, GCF of Fractions for 886/27, 728/82, 793/125 is 1/276750.