Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 217/43,341/447
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 217,341
Greatest Common Factor of Numerators i.e. GCF of 217,341 is 31 .
LCM of Denominators means LCM of 43,447 as per the given fractions.
LCM of 43,447 is 19221 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 217,341
31 | 217, 341 |
7, 11 |
∴ So the GCF of the given numbers is 31 = 31
Factors of 217
List of positive integer factors of 217 that divides 217 without a remainder.
1,7,31,217
Factors of 341
List of positive integer factors of 341 that divides 341 without a remainder.
1,11,31,341
Greatest Common Factor
We found the factors 217,341 . The biggest common factor number is the GCF number.
So the greatest common factor 217,341 is 31.
Lets's calculate LCM of 43,447
Given numbers has no common factors except 1. So, there LCM is their product i.e 19221
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 31/19221
Therefore, the GCF of Fractions 217/43,341/447 is 31/19221
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 43,447 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(43,447) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(43,447) x common factors =1 x 1 = 1
LCM(43,447) = ( 43 × 447 ) / 1
LCM(43,447) = 19221 / 1
LCM(43,447) = 19221
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 217/43, 341/447?
Answer: GCF of Numerators as per given numbers 217/43, 341/447 is
GCF of Numerators i.e. for 217,341 is 31
LCM of denominators i.e. for 43,447 is 19221.
Thus, GCF of Fractions is 31/19221.Finally, GCF of Fractions for 217/43, 341/447 is 31/19221.