Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6166/842,3325/3059
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 6166,3325
Greatest Common Factor of Numerators i.e. GCF of 6166,3325 is 1 .
LCM of Denominators means LCM of 842,3059 as per the given fractions.
LCM of 842,3059 is 2575678 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6166,3325
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6166
List of positive integer factors of 6166 that divides 6166 without a remainder.
1,2,3083,6166
Factors of 3325
List of positive integer factors of 3325 that divides 3325 without a remainder.
1,5,7,19,25,35,95,133,175,475,665,3325
Greatest Common Factor
We found the factors 6166,3325 . The biggest common factor number is the GCF number.
So the greatest common factor 6166,3325 is 1.
Lets's calculate LCM of 842,3059
Given numbers has no common factors except 1. So, there LCM is their product i.e 2575678
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2575678
Therefore, the GCF of Fractions 6166/842,3325/3059 is 1/2575678
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 842,3059 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(842,3059) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(842,3059) x common factors =1 x 1 = 1
LCM(842,3059) = ( 842 × 3059 ) / 1
LCM(842,3059) = 2575678 / 1
LCM(842,3059) = 2575678
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 6166/842, 3325/3059?
Answer: GCF of Numerators as per given numbers 6166/842, 3325/3059 is
GCF of Numerators i.e. for 6166,3325 is 1
LCM of denominators i.e. for 842,3059 is 2575678.
Thus, GCF of Fractions is 1/2575678.Finally, GCF of Fractions for 6166/842, 3325/3059 is 1/2575678.