Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1719/415,3967/931
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 1719,3967
Greatest Common Factor of Numerators i.e. GCF of 1719,3967 is 1 .
LCM of Denominators means LCM of 415,931 as per the given fractions.
LCM of 415,931 is 386365 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1719,3967
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1719
List of positive integer factors of 1719 that divides 1719 without a remainder.
1,3,9,191,573,1719
Factors of 3967
List of positive integer factors of 3967 that divides 3967 without a remainder.
1,3967
Greatest Common Factor
We found the factors 1719,3967 . The biggest common factor number is the GCF number.
So the greatest common factor 1719,3967 is 1.
Lets's calculate LCM of 415,931
Given numbers has no common factors except 1. So, there LCM is their product i.e 386365
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/386365
Therefore, the GCF of Fractions 1719/415,3967/931 is 1/386365
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 415,931 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(415,931) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(415,931) x common factors =1 x 1 = 1
LCM(415,931) = ( 415 × 931 ) / 1
LCM(415,931) = 386365 / 1
LCM(415,931) = 386365
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 1719/415, 3967/931?
Answer: GCF of Numerators as per given numbers 1719/415, 3967/931 is
GCF of Numerators i.e. for 1719,3967 is 1
LCM of denominators i.e. for 415,931 is 386365.
Thus, GCF of Fractions is 1/386365.Finally, GCF of Fractions for 1719/415, 3967/931 is 1/386365.