Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1484/20,6807/533
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 1484,6807
Greatest Common Factor of Numerators i.e. GCF of 1484,6807 is 1 .
LCM of Denominators means LCM of 20,533 as per the given fractions.
LCM of 20,533 is 10660 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1484,6807
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1484
List of positive integer factors of 1484 that divides 1484 without a remainder.
1,2,4,7,14,28,53,106,212,371,742,1484
Factors of 6807
List of positive integer factors of 6807 that divides 6807 without a remainder.
1,3,2269,6807
Greatest Common Factor
We found the factors 1484,6807 . The biggest common factor number is the GCF number.
So the greatest common factor 1484,6807 is 1.
Lets's calculate LCM of 20,533
Given numbers has no common factors except 1. So, there LCM is their product i.e 10660
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10660
Therefore, the GCF of Fractions 1484/20,6807/533 is 1/10660
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 20,533 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(20,533) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(20,533) x common factors =1 x 1 = 1
LCM(20,533) = ( 20 × 533 ) / 1
LCM(20,533) = 10660 / 1
LCM(20,533) = 10660
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 1484/20, 6807/533?
Answer: GCF of Numerators as per given numbers 1484/20, 6807/533 is
GCF of Numerators i.e. for 1484,6807 is 1
LCM of denominators i.e. for 20,533 is 10660.
Thus, GCF of Fractions is 1/10660.Finally, GCF of Fractions for 1484/20, 6807/533 is 1/10660.