Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8046/95,1543/789
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 8046,1543
Greatest Common Factor of Numerators i.e. GCF of 8046,1543 is 1 .
LCM of Denominators means LCM of 95,789 as per the given fractions.
LCM of 95,789 is 74955 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8046,1543
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8046
List of positive integer factors of 8046 that divides 8046 without a remainder.
1,2,3,6,9,18,27,54,149,298,447,894,1341,2682,4023,8046
Factors of 1543
List of positive integer factors of 1543 that divides 1543 without a remainder.
1,1543
Greatest Common Factor
We found the factors 8046,1543 . The biggest common factor number is the GCF number.
So the greatest common factor 8046,1543 is 1.
Lets's calculate LCM of 95,789
Given numbers has no common factors except 1. So, there LCM is their product i.e 74955
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/74955
Therefore, the GCF of Fractions 8046/95,1543/789 is 1/74955
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 95,789 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(95,789) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(95,789) x common factors =1 x 1 = 1
LCM(95,789) = ( 95 × 789 ) / 1
LCM(95,789) = 74955 / 1
LCM(95,789) = 74955
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 8046/95, 1543/789?
Answer: GCF of Numerators as per given numbers 8046/95, 1543/789 is
GCF of Numerators i.e. for 8046,1543 is 1
LCM of denominators i.e. for 95,789 is 74955.
Thus, GCF of Fractions is 1/74955.Finally, GCF of Fractions for 8046/95, 1543/789 is 1/74955.