Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8357/611,3691/855
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 8357,3691
Greatest Common Factor of Numerators i.e. GCF of 8357,3691 is 1 .
LCM of Denominators means LCM of 611,855 as per the given fractions.
LCM of 611,855 is 522405 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8357,3691
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8357
List of positive integer factors of 8357 that divides 8357 without a remainder.
1,61,137,8357
Factors of 3691
List of positive integer factors of 3691 that divides 3691 without a remainder.
1,3691
Greatest Common Factor
We found the factors 8357,3691 . The biggest common factor number is the GCF number.
So the greatest common factor 8357,3691 is 1.
Lets's calculate LCM of 611,855
Given numbers has no common factors except 1. So, there LCM is their product i.e 522405
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/522405
Therefore, the GCF of Fractions 8357/611,3691/855 is 1/522405
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 611,855 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(611,855) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(611,855) x common factors =1 x 1 = 1
LCM(611,855) = ( 611 × 855 ) / 1
LCM(611,855) = 522405 / 1
LCM(611,855) = 522405
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 8357/611, 3691/855?
Answer: GCF of Numerators as per given numbers 8357/611, 3691/855 is
GCF of Numerators i.e. for 8357,3691 is 1
LCM of denominators i.e. for 611,855 is 522405.
Thus, GCF of Fractions is 1/522405.Finally, GCF of Fractions for 8357/611, 3691/855 is 1/522405.