Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 330/51,872/75,722/126
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 330,872,722
Greatest Common Factor of Numerators i.e. GCF of 330,872,722 is 2 .
LCM of Denominators means LCM of 51,75,126 as per the given fractions.
LCM of 51,75,126 is 53550 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 330,872,722
2 | 330, 872, 722 |
165, 436, 361 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 330
List of positive integer factors of 330 that divides 330 without a remainder.
1,2,3,5,6,10,11,15,22,30,33,55,66,110,165,330
Factors of 872
List of positive integer factors of 872 that divides 872 without a remainder.
1,2,4,8,109,218,436,872
Factors of 722
List of positive integer factors of 722 that divides 722 without a remainder.
1,2,19,38,361,722
Greatest Common Factor
We found the factors 330,872,722 . The biggest common factor number is the GCF number.
So the greatest common factor 330,872,722 is 2.
Lets's calculate LCM of 51,75,126
3 | 51, 75, 126 |
17, 25, 42 |
∴ So the LCM of the given numbers is 3 x 17 x 25 x 42 = 53550
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/53550
Therefore, the GCF of Fractions 330/51,872/75,722/126 is 2/53550
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 51,75,126 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(51,75,126) = 3
common factors(in case of two or more numbers have common factors) = 3
GCF(51,75,126) x common factors =3 x 3 = 9
LCM(51,75,126) = ( 51 × 75 × 126 ) / 9
LCM(51,75,126) = 481950 / 9
LCM(51,75,126) = 53550
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 330/51, 872/75, 722/126?
Answer: GCF of Numerators as per given numbers 330/51, 872/75, 722/126 is
GCF of Numerators i.e. for 330,872,722 is 2
LCM of denominators i.e. for 51,75,126 is 53550.
Thus, GCF of Fractions is 2/53550.Finally, GCF of Fractions for 330/51, 872/75, 722/126 is 2/53550.