Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6968/979,6009/306
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 6968,6009
Greatest Common Factor of Numerators i.e. GCF of 6968,6009 is 1 .
LCM of Denominators means LCM of 979,306 as per the given fractions.
LCM of 979,306 is 299574 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6968,6009
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6968
List of positive integer factors of 6968 that divides 6968 without a remainder.
1,2,4,8,13,26,52,67,104,134,268,536,871,1742,3484,6968
Factors of 6009
List of positive integer factors of 6009 that divides 6009 without a remainder.
1,3,2003,6009
Greatest Common Factor
We found the factors 6968,6009 . The biggest common factor number is the GCF number.
So the greatest common factor 6968,6009 is 1.
Lets's calculate LCM of 979,306
Given numbers has no common factors except 1. So, there LCM is their product i.e 299574
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/299574
Therefore, the GCF of Fractions 6968/979,6009/306 is 1/299574
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 979,306 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(979,306) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(979,306) x common factors =1 x 1 = 1
LCM(979,306) = ( 979 × 306 ) / 1
LCM(979,306) = 299574 / 1
LCM(979,306) = 299574
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 6968/979, 6009/306?
Answer: GCF of Numerators as per given numbers 6968/979, 6009/306 is
GCF of Numerators i.e. for 6968,6009 is 1
LCM of denominators i.e. for 979,306 is 299574.
Thus, GCF of Fractions is 1/299574.Finally, GCF of Fractions for 6968/979, 6009/306 is 1/299574.