Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 21/23,81/19,441/887
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 21,81,441
Greatest Common Factor of Numerators i.e. GCF of 21,81,441 is 3 .
LCM of Denominators means LCM of 23,19,887 as per the given fractions.
LCM of 23,19,887 is 387619 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 21,81,441
3 | 21, 81, 441 |
7, 27, 147 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 21
List of positive integer factors of 21 that divides 21 without a remainder.
1,3,7,21
Factors of 81
List of positive integer factors of 81 that divides 81 without a remainder.
1,3,9,27,81
Factors of 441
List of positive integer factors of 441 that divides 441 without a remainder.
1,3,7,9,21,49,63,147,441
Greatest Common Factor
We found the factors 21,81,441 . The biggest common factor number is the GCF number.
So the greatest common factor 21,81,441 is 3.
Lets's calculate LCM of 23,19,887
Given numbers has no common factors except 1. So, there LCM is their product i.e 387619
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/387619
Therefore, the GCF of Fractions 21/23,81/19,441/887 is 3/387619
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 23,19,887 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(23,19,887) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(23,19,887) x common factors =1 x 1 = 1
LCM(23,19,887) = ( 23 × 19 × 887 ) / 1
LCM(23,19,887) = 387619 / 1
LCM(23,19,887) = 387619
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 21/23, 81/19, 441/887?
Answer: GCF of Numerators as per given numbers 21/23, 81/19, 441/887 is
GCF of Numerators i.e. for 21,81,441 is 3
LCM of denominators i.e. for 23,19,887 is 387619.
Thus, GCF of Fractions is 3/387619.Finally, GCF of Fractions for 21/23, 81/19, 441/887 is 3/387619.