Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 81/33,73/66,73/20,832/54
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 81,73,73,832
Greatest Common Factor of Numerators i.e. GCF of 81,73,73,832 is 1 .
LCM of Denominators means LCM of 33,66,20,54 as per the given fractions.
LCM of 33,66,20,54 is 5940 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 81,73,73,832
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 81
List of positive integer factors of 81 that divides 81 without a remainder.
1,3,9,27,81
Factors of 73
List of positive integer factors of 73 that divides 73 without a remainder.
1,73
Factors of 73
List of positive integer factors of 73 that divides 73 without a remainder.
1,73
Factors of 832
List of positive integer factors of 832 that divides 832 without a remainder.
1,2,4,8,13,16,26,32,52,64,104,208,416,832
Greatest Common Factor
We found the factors 81,73,73,832 . The biggest common factor number is the GCF number.
So the greatest common factor 81,73,73,832 is 1.
Lets's calculate LCM of 33,66,20,54
2 | 33, 66, 20, 54 |
3 | 33, 33, 10, 27 |
11 | 11, 11, 10, 9 |
1, 1, 10, 9 |
∴ So the LCM of the given numbers is 2 x 3 x 11 x 1 x 1 x 10 x 9 = 5940
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5940
Therefore, the GCF of Fractions 81/33,73/66,73/20,832/54 is 1/5940
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 33,66,20,54 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(33,66,20,54) = 1
common factors(in case of two or more numbers have common factors) = 396
GCF(33,66,20,54) x common factors =1 x 396 = 396
LCM(33,66,20,54) = ( 33 × 66 × 20 × 54 ) / 396
LCM(33,66,20,54) = 2352240 / 396
LCM(33,66,20,54) = 5940
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 81/33, 73/66, 73/20, 832/54?
Answer: GCF of Numerators as per given numbers 81/33, 73/66, 73/20, 832/54 is
GCF of Numerators i.e. for 81,73,73,832 is 1
LCM of denominators i.e. for 33,66,20,54 is 5940.
Thus, GCF of Fractions is 1/5940.Finally, GCF of Fractions for 81/33, 73/66, 73/20, 832/54 is 1/5940.