Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2081/731,3269/949
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 2081,3269
Greatest Common Factor of Numerators i.e. GCF of 2081,3269 is 1 .
LCM of Denominators means LCM of 731,949 as per the given fractions.
LCM of 731,949 is 693719 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2081,3269
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2081
List of positive integer factors of 2081 that divides 2081 without a remainder.
1,2081
Factors of 3269
List of positive integer factors of 3269 that divides 3269 without a remainder.
1,7,467,3269
Greatest Common Factor
We found the factors 2081,3269 . The biggest common factor number is the GCF number.
So the greatest common factor 2081,3269 is 1.
Lets's calculate LCM of 731,949
Given numbers has no common factors except 1. So, there LCM is their product i.e 693719
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/693719
Therefore, the GCF of Fractions 2081/731,3269/949 is 1/693719
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 731,949 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(731,949) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(731,949) x common factors =1 x 1 = 1
LCM(731,949) = ( 731 × 949 ) / 1
LCM(731,949) = 693719 / 1
LCM(731,949) = 693719
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 2081/731, 3269/949?
Answer: GCF of Numerators as per given numbers 2081/731, 3269/949 is
GCF of Numerators i.e. for 2081,3269 is 1
LCM of denominators i.e. for 731,949 is 693719.
Thus, GCF of Fractions is 1/693719.Finally, GCF of Fractions for 2081/731, 3269/949 is 1/693719.