Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 33/24,149/14,477/902
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 33,149,477
Greatest Common Factor of Numerators i.e. GCF of 33,149,477 is 1 .
LCM of Denominators means LCM of 24,14,902 as per the given fractions.
LCM of 24,14,902 is 75768 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 33,149,477
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 33
List of positive integer factors of 33 that divides 33 without a remainder.
1,3,11,33
Factors of 149
List of positive integer factors of 149 that divides 149 without a remainder.
1,149
Factors of 477
List of positive integer factors of 477 that divides 477 without a remainder.
1,3,9,53,159,477
Greatest Common Factor
We found the factors 33,149,477 . The biggest common factor number is the GCF number.
So the greatest common factor 33,149,477 is 1.
Lets's calculate LCM of 24,14,902
2 | 24, 14, 902 |
12, 7, 451 |
∴ So the LCM of the given numbers is 2 x 12 x 7 x 451 = 75768
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/75768
Therefore, the GCF of Fractions 33/24,149/14,477/902 is 1/75768
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 24,14,902 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(24,14,902) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(24,14,902) x common factors =2 x 2 = 4
LCM(24,14,902) = ( 24 × 14 × 902 ) / 4
LCM(24,14,902) = 303072 / 4
LCM(24,14,902) = 75768
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 33/24, 149/14, 477/902?
Answer: GCF of Numerators as per given numbers 33/24, 149/14, 477/902 is
GCF of Numerators i.e. for 33,149,477 is 1
LCM of denominators i.e. for 24,14,902 is 75768.
Thus, GCF of Fractions is 1/75768.Finally, GCF of Fractions for 33/24, 149/14, 477/902 is 1/75768.