Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 648/288,3792/723
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 648,3792
Greatest Common Factor of Numerators i.e. GCF of 648,3792 is 24 .
LCM of Denominators means LCM of 288,723 as per the given fractions.
LCM of 288,723 is 69408 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 648,3792
2 | 648, 3792 |
2 | 324, 1896 |
2 | 162, 948 |
3 | 81, 474 |
27, 158 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 = 24
Factors of 648
List of positive integer factors of 648 that divides 648 without a remainder.
1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,324,648
Factors of 3792
List of positive integer factors of 3792 that divides 3792 without a remainder.
1,2,3,4,6,8,12,16,24,48,79,158,237,316,474,632,948,1264,1896,3792
Greatest Common Factor
We found the factors 648,3792 . The biggest common factor number is the GCF number.
So the greatest common factor 648,3792 is 24.
Lets's calculate LCM of 288,723
3 | 288, 723 |
96, 241 |
∴ So the LCM of the given numbers is 3 x 96 x 241 = 69408
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 24/69408
Therefore, the GCF of Fractions 648/288,3792/723 is 24/69408
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 288,723 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(288,723) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(288,723) x common factors =3 x 1 = 3
LCM(288,723) = ( 288 × 723 ) / 3
LCM(288,723) = 208224 / 3
LCM(288,723) = 69408
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 648/288, 3792/723?
Answer: GCF of Numerators as per given numbers 648/288, 3792/723 is
GCF of Numerators i.e. for 648,3792 is 24
LCM of denominators i.e. for 288,723 is 69408.
Thus, GCF of Fractions is 24/69408.Finally, GCF of Fractions for 648/288, 3792/723 is 24/69408.