Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 63/74,54/99,990/46
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 63,54,990
Greatest Common Factor of Numerators i.e. GCF of 63,54,990 is 9 .
LCM of Denominators means LCM of 74,99,46 as per the given fractions.
LCM of 74,99,46 is 168498 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 63,54,990
3 | 63, 54, 990 |
3 | 21, 18, 330 |
7, 6, 110 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Factors of 63
List of positive integer factors of 63 that divides 63 without a remainder.
1,3,7,9,21,63
Factors of 54
List of positive integer factors of 54 that divides 54 without a remainder.
1,2,3,6,9,18,27,54
Factors of 990
List of positive integer factors of 990 that divides 990 without a remainder.
1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,165,198,330,495,990
Greatest Common Factor
We found the factors 63,54,990 . The biggest common factor number is the GCF number.
So the greatest common factor 63,54,990 is 9.
Lets's calculate LCM of 74,99,46
2 | 74, 99, 46 |
37, 99, 23 |
∴ So the LCM of the given numbers is 2 x 37 x 99 x 23 = 168498
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/168498
Therefore, the GCF of Fractions 63/74,54/99,990/46 is 9/168498
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 74,99,46 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(74,99,46) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(74,99,46) x common factors =1 x 2 = 2
LCM(74,99,46) = ( 74 × 99 × 46 ) / 2
LCM(74,99,46) = 336996 / 2
LCM(74,99,46) = 168498
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 63/74, 54/99, 990/46?
Answer: GCF of Numerators as per given numbers 63/74, 54/99, 990/46 is
GCF of Numerators i.e. for 63,54,990 is 9
LCM of denominators i.e. for 74,99,46 is 168498.
Thus, GCF of Fractions is 9/168498.Finally, GCF of Fractions for 63/74, 54/99, 990/46 is 9/168498.