Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8392/897,9878/886
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 8392,9878
Greatest Common Factor of Numerators i.e. GCF of 8392,9878 is 2 .
LCM of Denominators means LCM of 897,886 as per the given fractions.
LCM of 897,886 is 794742 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8392,9878
2 | 8392, 9878 |
4196, 4939 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 8392
List of positive integer factors of 8392 that divides 8392 without a remainder.
1,2,4,8,1049,2098,4196,8392
Factors of 9878
List of positive integer factors of 9878 that divides 9878 without a remainder.
1,2,11,22,449,898,4939,9878
Greatest Common Factor
We found the factors 8392,9878 . The biggest common factor number is the GCF number.
So the greatest common factor 8392,9878 is 2.
Lets's calculate LCM of 897,886
Given numbers has no common factors except 1. So, there LCM is their product i.e 794742
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/794742
Therefore, the GCF of Fractions 8392/897,9878/886 is 2/794742
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 897,886 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(897,886) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(897,886) x common factors =1 x 1 = 1
LCM(897,886) = ( 897 × 886 ) / 1
LCM(897,886) = 794742 / 1
LCM(897,886) = 794742
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 8392/897, 9878/886?
Answer: GCF of Numerators as per given numbers 8392/897, 9878/886 is
GCF of Numerators i.e. for 8392,9878 is 2
LCM of denominators i.e. for 897,886 is 794742.
Thus, GCF of Fractions is 2/794742.Finally, GCF of Fractions for 8392/897, 9878/886 is 2/794742.