Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8086/917,8819/613
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 8086,8819
Greatest Common Factor of Numerators i.e. GCF of 8086,8819 is 1 .
LCM of Denominators means LCM of 917,613 as per the given fractions.
LCM of 917,613 is 562121 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8086,8819
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8086
List of positive integer factors of 8086 that divides 8086 without a remainder.
1,2,13,26,311,622,4043,8086
Factors of 8819
List of positive integer factors of 8819 that divides 8819 without a remainder.
1,8819
Greatest Common Factor
We found the factors 8086,8819 . The biggest common factor number is the GCF number.
So the greatest common factor 8086,8819 is 1.
Lets's calculate LCM of 917,613
Given numbers has no common factors except 1. So, there LCM is their product i.e 562121
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/562121
Therefore, the GCF of Fractions 8086/917,8819/613 is 1/562121
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 917,613 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(917,613) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(917,613) x common factors =1 x 1 = 1
LCM(917,613) = ( 917 × 613 ) / 1
LCM(917,613) = 562121 / 1
LCM(917,613) = 562121
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 8086/917, 8819/613?
Answer: GCF of Numerators as per given numbers 8086/917, 8819/613 is
GCF of Numerators i.e. for 8086,8819 is 1
LCM of denominators i.e. for 917,613 is 562121.
Thus, GCF of Fractions is 1/562121.Finally, GCF of Fractions for 8086/917, 8819/613 is 1/562121.