Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7085/613,3043/6391
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 7085,3043
Greatest Common Factor of Numerators i.e. GCF of 7085,3043 is 1 .
LCM of Denominators means LCM of 613,6391 as per the given fractions.
LCM of 613,6391 is 3917683 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7085,3043
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7085
List of positive integer factors of 7085 that divides 7085 without a remainder.
1,5,13,65,109,545,1417,7085
Factors of 3043
List of positive integer factors of 3043 that divides 3043 without a remainder.
1,17,179,3043
Greatest Common Factor
We found the factors 7085,3043 . The biggest common factor number is the GCF number.
So the greatest common factor 7085,3043 is 1.
Lets's calculate LCM of 613,6391
Given numbers has no common factors except 1. So, there LCM is their product i.e 3917683
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3917683
Therefore, the GCF of Fractions 7085/613,3043/6391 is 1/3917683
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 613,6391 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(613,6391) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(613,6391) x common factors =1 x 1 = 1
LCM(613,6391) = ( 613 × 6391 ) / 1
LCM(613,6391) = 3917683 / 1
LCM(613,6391) = 3917683
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 7085/613, 3043/6391?
Answer: GCF of Numerators as per given numbers 7085/613, 3043/6391 is
GCF of Numerators i.e. for 7085,3043 is 1
LCM of denominators i.e. for 613,6391 is 3917683.
Thus, GCF of Fractions is 1/3917683.Finally, GCF of Fractions for 7085/613, 3043/6391 is 1/3917683.