Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9086/102,4365/2195
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 9086,4365
Greatest Common Factor of Numerators i.e. GCF of 9086,4365 is 1 .
LCM of Denominators means LCM of 102,2195 as per the given fractions.
LCM of 102,2195 is 223890 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9086,4365
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9086
List of positive integer factors of 9086 that divides 9086 without a remainder.
1,2,7,11,14,22,59,77,118,154,413,649,826,1298,4543,9086
Factors of 4365
List of positive integer factors of 4365 that divides 4365 without a remainder.
1,3,5,9,15,45,97,291,485,873,1455,4365
Greatest Common Factor
We found the factors 9086,4365 . The biggest common factor number is the GCF number.
So the greatest common factor 9086,4365 is 1.
Lets's calculate LCM of 102,2195
Given numbers has no common factors except 1. So, there LCM is their product i.e 223890
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/223890
Therefore, the GCF of Fractions 9086/102,4365/2195 is 1/223890
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 102,2195 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(102,2195) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(102,2195) x common factors =1 x 1 = 1
LCM(102,2195) = ( 102 × 2195 ) / 1
LCM(102,2195) = 223890 / 1
LCM(102,2195) = 223890
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 9086/102, 4365/2195?
Answer: GCF of Numerators as per given numbers 9086/102, 4365/2195 is
GCF of Numerators i.e. for 9086,4365 is 1
LCM of denominators i.e. for 102,2195 is 223890.
Thus, GCF of Fractions is 1/223890.Finally, GCF of Fractions for 9086/102, 4365/2195 is 1/223890.