Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3331/386,2731/4467
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 3331,2731
Greatest Common Factor of Numerators i.e. GCF of 3331,2731 is 1 .
LCM of Denominators means LCM of 386,4467 as per the given fractions.
LCM of 386,4467 is 1724262 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3331,2731
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3331
List of positive integer factors of 3331 that divides 3331 without a remainder.
1,3331
Factors of 2731
List of positive integer factors of 2731 that divides 2731 without a remainder.
1,2731
Greatest Common Factor
We found the factors 3331,2731 . The biggest common factor number is the GCF number.
So the greatest common factor 3331,2731 is 1.
Lets's calculate LCM of 386,4467
Given numbers has no common factors except 1. So, there LCM is their product i.e 1724262
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1724262
Therefore, the GCF of Fractions 3331/386,2731/4467 is 1/1724262
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 386,4467 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(386,4467) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(386,4467) x common factors =1 x 1 = 1
LCM(386,4467) = ( 386 × 4467 ) / 1
LCM(386,4467) = 1724262 / 1
LCM(386,4467) = 1724262
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 3331/386, 2731/4467?
Answer: GCF of Numerators as per given numbers 3331/386, 2731/4467 is
GCF of Numerators i.e. for 3331,2731 is 1
LCM of denominators i.e. for 386,4467 is 1724262.
Thus, GCF of Fractions is 1/1724262.Finally, GCF of Fractions for 3331/386, 2731/4467 is 1/1724262.