Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 396/25,811/20,692/300
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 396,811,692
Greatest Common Factor of Numerators i.e. GCF of 396,811,692 is 1 .
LCM of Denominators means LCM of 25,20,300 as per the given fractions.
LCM of 25,20,300 is 300 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 396,811,692
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 396
List of positive integer factors of 396 that divides 396 without a remainder.
1,2,3,4,6,9,11,12,18,22,33,36,44,66,99,132,198,396
Factors of 811
List of positive integer factors of 811 that divides 811 without a remainder.
1,811
Factors of 692
List of positive integer factors of 692 that divides 692 without a remainder.
1,2,4,173,346,692
Greatest Common Factor
We found the factors 396,811,692 . The biggest common factor number is the GCF number.
So the greatest common factor 396,811,692 is 1.
Lets's calculate LCM of 25,20,300
2 | 25, 20, 300 |
2 | 25, 10, 150 |
5 | 25, 5, 75 |
5 | 1, 5, 15 |
1, 1, 3 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 5 x 1 x 1 x 3 = 300
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/300
Therefore, the GCF of Fractions 396/25,811/20,692/300 is 1/300
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 25,20,300 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(25,20,300) = 5
common factors(in case of two or more numbers have common factors) = 100
GCF(25,20,300) x common factors =5 x 100 = 500
LCM(25,20,300) = ( 25 × 20 × 300 ) / 500
LCM(25,20,300) = 150000 / 500
LCM(25,20,300) = 300
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 396/25, 811/20, 692/300?
Answer: GCF of Numerators as per given numbers 396/25, 811/20, 692/300 is
GCF of Numerators i.e. for 396,811,692 is 1
LCM of denominators i.e. for 25,20,300 is 300.
Thus, GCF of Fractions is 1/300.Finally, GCF of Fractions for 396/25, 811/20, 692/300 is 1/300.