Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9346/207,8968/2923
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 9346,8968
Greatest Common Factor of Numerators i.e. GCF of 9346,8968 is 2 .
LCM of Denominators means LCM of 207,2923 as per the given fractions.
LCM of 207,2923 is 605061 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9346,8968
2 | 9346, 8968 |
4673, 4484 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 9346
List of positive integer factors of 9346 that divides 9346 without a remainder.
1,2,4673,9346
Factors of 8968
List of positive integer factors of 8968 that divides 8968 without a remainder.
1,2,4,8,19,38,59,76,118,152,236,472,1121,2242,4484,8968
Greatest Common Factor
We found the factors 9346,8968 . The biggest common factor number is the GCF number.
So the greatest common factor 9346,8968 is 2.
Lets's calculate LCM of 207,2923
Given numbers has no common factors except 1. So, there LCM is their product i.e 605061
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/605061
Therefore, the GCF of Fractions 9346/207,8968/2923 is 2/605061
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 207,2923 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(207,2923) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(207,2923) x common factors =1 x 1 = 1
LCM(207,2923) = ( 207 × 2923 ) / 1
LCM(207,2923) = 605061 / 1
LCM(207,2923) = 605061
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 9346/207, 8968/2923?
Answer: GCF of Numerators as per given numbers 9346/207, 8968/2923 is
GCF of Numerators i.e. for 9346,8968 is 2
LCM of denominators i.e. for 207,2923 is 605061.
Thus, GCF of Fractions is 2/605061.Finally, GCF of Fractions for 9346/207, 8968/2923 is 2/605061.