Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 417/24,3429/227
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 417,3429
Greatest Common Factor of Numerators i.e. GCF of 417,3429 is 3 .
LCM of Denominators means LCM of 24,227 as per the given fractions.
LCM of 24,227 is 5448 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 417,3429
3 | 417, 3429 |
139, 1143 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 417
List of positive integer factors of 417 that divides 417 without a remainder.
1,3,139,417
Factors of 3429
List of positive integer factors of 3429 that divides 3429 without a remainder.
1,3,9,27,127,381,1143,3429
Greatest Common Factor
We found the factors 417,3429 . The biggest common factor number is the GCF number.
So the greatest common factor 417,3429 is 3.
Lets's calculate LCM of 24,227
Given numbers has no common factors except 1. So, there LCM is their product i.e 5448
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/5448
Therefore, the GCF of Fractions 417/24,3429/227 is 3/5448
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 24,227 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(24,227) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(24,227) x common factors =1 x 1 = 1
LCM(24,227) = ( 24 × 227 ) / 1
LCM(24,227) = 5448 / 1
LCM(24,227) = 5448
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 417/24, 3429/227?
Answer: GCF of Numerators as per given numbers 417/24, 3429/227 is
GCF of Numerators i.e. for 417,3429 is 3
LCM of denominators i.e. for 24,227 is 5448.
Thus, GCF of Fractions is 3/5448.Finally, GCF of Fractions for 417/24, 3429/227 is 3/5448.