Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9006/81,6901/806
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 9006,6901
Greatest Common Factor of Numerators i.e. GCF of 9006,6901 is 1 .
LCM of Denominators means LCM of 81,806 as per the given fractions.
LCM of 81,806 is 65286 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9006,6901
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9006
List of positive integer factors of 9006 that divides 9006 without a remainder.
1,2,3,6,19,38,57,79,114,158,237,474,1501,3002,4503,9006
Factors of 6901
List of positive integer factors of 6901 that divides 6901 without a remainder.
1,67,103,6901
Greatest Common Factor
We found the factors 9006,6901 . The biggest common factor number is the GCF number.
So the greatest common factor 9006,6901 is 1.
Lets's calculate LCM of 81,806
Given numbers has no common factors except 1. So, there LCM is their product i.e 65286
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/65286
Therefore, the GCF of Fractions 9006/81,6901/806 is 1/65286
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 81,806 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(81,806) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(81,806) x common factors =1 x 1 = 1
LCM(81,806) = ( 81 × 806 ) / 1
LCM(81,806) = 65286 / 1
LCM(81,806) = 65286
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 9006/81, 6901/806?
Answer: GCF of Numerators as per given numbers 9006/81, 6901/806 is
GCF of Numerators i.e. for 9006,6901 is 1
LCM of denominators i.e. for 81,806 is 65286.
Thus, GCF of Fractions is 1/65286.Finally, GCF of Fractions for 9006/81, 6901/806 is 1/65286.