Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6443/398,4085/4367
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 6443,4085
Greatest Common Factor of Numerators i.e. GCF of 6443,4085 is 1 .
LCM of Denominators means LCM of 398,4367 as per the given fractions.
LCM of 398,4367 is 1738066 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6443,4085
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6443
List of positive integer factors of 6443 that divides 6443 without a remainder.
1,17,379,6443
Factors of 4085
List of positive integer factors of 4085 that divides 4085 without a remainder.
1,5,19,43,95,215,817,4085
Greatest Common Factor
We found the factors 6443,4085 . The biggest common factor number is the GCF number.
So the greatest common factor 6443,4085 is 1.
Lets's calculate LCM of 398,4367
Given numbers has no common factors except 1. So, there LCM is their product i.e 1738066
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1738066
Therefore, the GCF of Fractions 6443/398,4085/4367 is 1/1738066
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 398,4367 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(398,4367) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(398,4367) x common factors =1 x 1 = 1
LCM(398,4367) = ( 398 × 4367 ) / 1
LCM(398,4367) = 1738066 / 1
LCM(398,4367) = 1738066
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 6443/398, 4085/4367?
Answer: GCF of Numerators as per given numbers 6443/398, 4085/4367 is
GCF of Numerators i.e. for 6443,4085 is 1
LCM of denominators i.e. for 398,4367 is 1738066.
Thus, GCF of Fractions is 1/1738066.Finally, GCF of Fractions for 6443/398, 4085/4367 is 1/1738066.