Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 11/72,55/43,286/296
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 11,55,286
Greatest Common Factor of Numerators i.e. GCF of 11,55,286 is 11 .
LCM of Denominators means LCM of 72,43,296 as per the given fractions.
LCM of 72,43,296 is 114552 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 11,55,286
11 | 11, 55, 286 |
1, 5, 26 |
∴ So the GCF of the given numbers is 11 = 11
Factors of 11
List of positive integer factors of 11 that divides 11 without a remainder.
1,11
Factors of 55
List of positive integer factors of 55 that divides 55 without a remainder.
1,5,11,55
Factors of 286
List of positive integer factors of 286 that divides 286 without a remainder.
1,2,11,13,22,26,143,286
Greatest Common Factor
We found the factors 11,55,286 . The biggest common factor number is the GCF number.
So the greatest common factor 11,55,286 is 11.
Lets's calculate LCM of 72,43,296
2 | 72, 43, 296 |
2 | 36, 43, 148 |
2 | 18, 43, 74 |
9, 43, 37 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 9 x 43 x 37 = 114552
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/114552
Therefore, the GCF of Fractions 11/72,55/43,286/296 is 11/114552
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 72,43,296 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(72,43,296) = 1
common factors(in case of two or more numbers have common factors) = 8
GCF(72,43,296) x common factors =1 x 8 = 8
LCM(72,43,296) = ( 72 × 43 × 296 ) / 8
LCM(72,43,296) = 916416 / 8
LCM(72,43,296) = 114552
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 11/72, 55/43, 286/296?
Answer: GCF of Numerators as per given numbers 11/72, 55/43, 286/296 is
GCF of Numerators i.e. for 11,55,286 is 11
LCM of denominators i.e. for 72,43,296 is 114552.
Thus, GCF of Fractions is 11/114552.Finally, GCF of Fractions for 11/72, 55/43, 286/296 is 11/114552.