Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5179/83,9005/866
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 5179,9005
Greatest Common Factor of Numerators i.e. GCF of 5179,9005 is 1 .
LCM of Denominators means LCM of 83,866 as per the given fractions.
LCM of 83,866 is 71878 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5179,9005
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5179
List of positive integer factors of 5179 that divides 5179 without a remainder.
1,5179
Factors of 9005
List of positive integer factors of 9005 that divides 9005 without a remainder.
1,5,1801,9005
Greatest Common Factor
We found the factors 5179,9005 . The biggest common factor number is the GCF number.
So the greatest common factor 5179,9005 is 1.
Lets's calculate LCM of 83,866
Given numbers has no common factors except 1. So, there LCM is their product i.e 71878
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/71878
Therefore, the GCF of Fractions 5179/83,9005/866 is 1/71878
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 83,866 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(83,866) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(83,866) x common factors =1 x 1 = 1
LCM(83,866) = ( 83 × 866 ) / 1
LCM(83,866) = 71878 / 1
LCM(83,866) = 71878
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 5179/83, 9005/866?
Answer: GCF of Numerators as per given numbers 5179/83, 9005/866 is
GCF of Numerators i.e. for 5179,9005 is 1
LCM of denominators i.e. for 83,866 is 71878.
Thus, GCF of Fractions is 1/71878.Finally, GCF of Fractions for 5179/83, 9005/866 is 1/71878.