Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6066/451,8347/9109
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 6066,8347
Greatest Common Factor of Numerators i.e. GCF of 6066,8347 is 1 .
LCM of Denominators means LCM of 451,9109 as per the given fractions.
LCM of 451,9109 is 4108159 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6066,8347
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6066
List of positive integer factors of 6066 that divides 6066 without a remainder.
1,2,3,6,9,18,337,674,1011,2022,3033,6066
Factors of 8347
List of positive integer factors of 8347 that divides 8347 without a remainder.
1,17,491,8347
Greatest Common Factor
We found the factors 6066,8347 . The biggest common factor number is the GCF number.
So the greatest common factor 6066,8347 is 1.
Lets's calculate LCM of 451,9109
Given numbers has no common factors except 1. So, there LCM is their product i.e 4108159
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4108159
Therefore, the GCF of Fractions 6066/451,8347/9109 is 1/4108159
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 451,9109 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(451,9109) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(451,9109) x common factors =1 x 1 = 1
LCM(451,9109) = ( 451 × 9109 ) / 1
LCM(451,9109) = 4108159 / 1
LCM(451,9109) = 4108159
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 6066/451, 8347/9109?
Answer: GCF of Numerators as per given numbers 6066/451, 8347/9109 is
GCF of Numerators i.e. for 6066,8347 is 1
LCM of denominators i.e. for 451,9109 is 4108159.
Thus, GCF of Fractions is 1/4108159.Finally, GCF of Fractions for 6066/451, 8347/9109 is 1/4108159.