Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6486/92,8965/109
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 6486,8965
Greatest Common Factor of Numerators i.e. GCF of 6486,8965 is 1 .
LCM of Denominators means LCM of 92,109 as per the given fractions.
LCM of 92,109 is 10028 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6486,8965
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6486
List of positive integer factors of 6486 that divides 6486 without a remainder.
1,2,3,6,23,46,47,69,94,138,141,282,1081,2162,3243,6486
Factors of 8965
List of positive integer factors of 8965 that divides 8965 without a remainder.
1,5,11,55,163,815,1793,8965
Greatest Common Factor
We found the factors 6486,8965 . The biggest common factor number is the GCF number.
So the greatest common factor 6486,8965 is 1.
Lets's calculate LCM of 92,109
Given numbers has no common factors except 1. So, there LCM is their product i.e 10028
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10028
Therefore, the GCF of Fractions 6486/92,8965/109 is 1/10028
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 92,109 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(92,109) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(92,109) x common factors =1 x 1 = 1
LCM(92,109) = ( 92 × 109 ) / 1
LCM(92,109) = 10028 / 1
LCM(92,109) = 10028
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 6486/92, 8965/109?
Answer: GCF of Numerators as per given numbers 6486/92, 8965/109 is
GCF of Numerators i.e. for 6486,8965 is 1
LCM of denominators i.e. for 92,109 is 10028.
Thus, GCF of Fractions is 1/10028.Finally, GCF of Fractions for 6486/92, 8965/109 is 1/10028.