Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8719/207,3395/3161
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 8719,3395
Greatest Common Factor of Numerators i.e. GCF of 8719,3395 is 1 .
LCM of Denominators means LCM of 207,3161 as per the given fractions.
LCM of 207,3161 is 654327 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8719,3395
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8719
List of positive integer factors of 8719 that divides 8719 without a remainder.
1,8719
Factors of 3395
List of positive integer factors of 3395 that divides 3395 without a remainder.
1,5,7,35,97,485,679,3395
Greatest Common Factor
We found the factors 8719,3395 . The biggest common factor number is the GCF number.
So the greatest common factor 8719,3395 is 1.
Lets's calculate LCM of 207,3161
Given numbers has no common factors except 1. So, there LCM is their product i.e 654327
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/654327
Therefore, the GCF of Fractions 8719/207,3395/3161 is 1/654327
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 207,3161 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(207,3161) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(207,3161) x common factors =1 x 1 = 1
LCM(207,3161) = ( 207 × 3161 ) / 1
LCM(207,3161) = 654327 / 1
LCM(207,3161) = 654327
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 8719/207, 3395/3161?
Answer: GCF of Numerators as per given numbers 8719/207, 3395/3161 is
GCF of Numerators i.e. for 8719,3395 is 1
LCM of denominators i.e. for 207,3161 is 654327.
Thus, GCF of Fractions is 1/654327.Finally, GCF of Fractions for 8719/207, 3395/3161 is 1/654327.