Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6830/391,8633/9517
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 6830,8633
Greatest Common Factor of Numerators i.e. GCF of 6830,8633 is 1 .
LCM of Denominators means LCM of 391,9517 as per the given fractions.
LCM of 391,9517 is 3721147 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6830,8633
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6830
List of positive integer factors of 6830 that divides 6830 without a remainder.
1,2,5,10,683,1366,3415,6830
Factors of 8633
List of positive integer factors of 8633 that divides 8633 without a remainder.
1,89,97,8633
Greatest Common Factor
We found the factors 6830,8633 . The biggest common factor number is the GCF number.
So the greatest common factor 6830,8633 is 1.
Lets's calculate LCM of 391,9517
Given numbers has no common factors except 1. So, there LCM is their product i.e 3721147
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3721147
Therefore, the GCF of Fractions 6830/391,8633/9517 is 1/3721147
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 391,9517 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(391,9517) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(391,9517) x common factors =1 x 1 = 1
LCM(391,9517) = ( 391 × 9517 ) / 1
LCM(391,9517) = 3721147 / 1
LCM(391,9517) = 3721147
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 6830/391, 8633/9517?
Answer: GCF of Numerators as per given numbers 6830/391, 8633/9517 is
GCF of Numerators i.e. for 6830,8633 is 1
LCM of denominators i.e. for 391,9517 is 3721147.
Thus, GCF of Fractions is 1/3721147.Finally, GCF of Fractions for 6830/391, 8633/9517 is 1/3721147.